What is 'SSS Congruence ' , 'C.P.C.T' ,'SAS' ?? -Maths 9th

What is 'SSS Congruence ' , 'C.P.C.T' ,'SAS' ?? -Maths 9th
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Side-Side-Side (SSS) Rule Side-Side-Side is a rule used to prove whether a given set of triangles are congruent.  The SSS rule states that  If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent. In the diagrams below, if AB = RP, BC = PQ and CA = QR, then triangle ABC is congruent to triangle RPQ.  Side-Angle-Side (SAS) Rule Side-Angle-Side is a rule used to prove whether a given set of triangles are congruent.  The SAS rule states that  If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent. An included angle is an angle formed by two given sides. Included Angle               Non-included angle For the two triangles below, if AC = PQ, BC = PR and angle C = angle P , then using the SAS rule, triangle ABC is congruent to triangle QRP CPCT - stands for corresponding parts of congruent triangles. It means that if two triangles are congruent with any of SAS, ASA, SSS and RHS congruence rules then remaining angles and sides corresponding in both triangles are equal.Example:
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Related questions

What is 'SSS Congruence ' , 'C.P.C.T' ,'SAS' ?? -Maths 9th

Description : What is 'SSS Congruence ' , 'C.P.C.T' ,'SAS' ?? -Maths 9th

Last Answer : Side-Side-Side (SSS) Rule Side-Side-Side is a rule used to prove whether a given set of triangles are congruent. The SSS rule states that If three sides of one triangle are ... ASA, SSS and RHS congruence rules then remaining angles and sides corresponding in both triangles are equal.Example:

what- the image of a triangle after a translation is shown. fill in the blank with a congruence postulate. use SSS?

Description : what- the image of a triangle after a translation is shown. fill in the blank with a congruence postulate. use SSS?

Last Answer : SSS

If AB = PQ, BC = QR and AC = PR, then write the congruence relation between the triangles. [Fig. 7.6] -Maths 9th

Description : If AB = PQ, BC = QR and AC = PR, then write the congruence relation between the triangles. [Fig. 7.6] -Maths 9th

Last Answer : Solution :- △ ABC ≅ △PQR

Show that the relation ‘≅’ congruence on the set of all triangles in Euclidean plane geometry is an equivalence relation. -Maths 9th

Description : Show that the relation ‘≅’ congruence on the set of all triangles in Euclidean plane geometry is an equivalence relation. -Maths 9th

Last Answer : Reflexive : A ≅ A True Symmetric : if A ≅ B then B ≅ A True Transitive : if A ≅ B and B ≅ C, then A ≅ C True Therefore, the relation ‘≅’ is an equivalence relation.

What are the 4 congruence for congruent triangles ? -Maths 9th

Description : What are the 4 congruence for congruent triangles ? -Maths 9th

Last Answer : The four congruence are : 1. SSS congruence ( side-side-side). 2. SAS congruence (side-angle-side). 3. ASA congruence (angle-side-angle). 4. RHS congruence (Right-Hypotenuse-Side)

If P(-l, 1), Q(3, -4), R(1, -1), S(-2, -3) and T(-4, 4) are plotted on the graph paper, then the point(s) in the fourth quadrant is/are -Maths 9th

Description : If P(-l, 1), Q(3, -4), R(1, -1), S(-2, -3) and T(-4, 4) are plotted on the graph paper, then the point(s) in the fourth quadrant is/are -Maths 9th

Last Answer : (b) In point P (-1, 1), x-coordinate is -1 unit and y-coordinate is 1 unit, so it lies in llnd quadrant. Similarly, we can plot all the points Q (3, -4), R (1, -1), S (-2, -3) and T (-4, 4), It is clear from the graph that points R and Q lie in fourth quadrant.

Which of the points P(0, 3), Q(l, 0), R(0, – 1), S(-5, 0) and T(1, 2) do not lie on the X-axis ? -Maths 9th

Description : Which of the points P(0, 3), Q(l, 0), R(0, – 1), S(-5, 0) and T(1, 2) do not lie on the X-axis ? -Maths 9th

Last Answer : (c) We know that, if a point is of the form (x, 0)i.e., its y-coordinate is zero, then it will lie on X-axis otherwise not. Here, y-coordinates of points P(0, 3), R (0, -1) and T (1,2) are not zero, so these points do not lie on the X-axis.

Write the coordinates of each of the points P, Q, R, S, T and 0 from the figure . -Maths 9th

Description : Write the coordinates of each of the points P, Q, R, S, T and 0 from the figure . -Maths 9th

Last Answer : Here, points P and S lie in I quadrant so their both coordinates will be positive. Now, perpendicular distance of P from both axes is 1, so coordinates of P are (1, 1). Also, perpendicular distance of S ... 0 is the intersection of both axes, so it is the origin and its coordinates are O (0,0).

If P(-l, 1), Q(3, -4), R(1, -1), S(-2, -3) and T(-4, 4) are plotted on the graph paper, then the point(s) in the fourth quadrant is/are -Maths 9th

Description : If P(-l, 1), Q(3, -4), R(1, -1), S(-2, -3) and T(-4, 4) are plotted on the graph paper, then the point(s) in the fourth quadrant is/are -Maths 9th

Last Answer : (b) In point P (-1, 1), x-coordinate is -1 unit and y-coordinate is 1 unit, so it lies in llnd quadrant. Similarly, we can plot all the points Q (3, -4), R (1, -1), S (-2, -3) and T (-4, 4), It is clear from the graph that points R and Q lie in fourth quadrant.

Which of the points P(0, 3), Q(l, 0), R(0, – 1), S(-5, 0) and T(1, 2) do not lie on the X-axis ? -Maths 9th

Description : Which of the points P(0, 3), Q(l, 0), R(0, – 1), S(-5, 0) and T(1, 2) do not lie on the X-axis ? -Maths 9th

Last Answer : (c) We know that, if a point is of the form (x, 0)i.e., its y-coordinate is zero, then it will lie on X-axis otherwise not. Here, y-coordinates of points P(0, 3), R (0, -1) and T (1,2) are not zero, so these points do not lie on the X-axis.

Write the coordinates of each of the points P, Q, R, S, T and 0 from the figure . -Maths 9th

Description : Write the coordinates of each of the points P, Q, R, S, T and 0 from the figure . -Maths 9th

Last Answer : Here, points P and S lie in I quadrant so their both coordinates will be positive. Now, perpendicular distance of P from both axes is 1, so coordinates of P are (1, 1). Also, perpendicular distance of S ... 0 is the intersection of both axes, so it is the origin and its coordinates are O (0,0).

If p = 100r – t, find the value of p when r = 0.25 and t = 10. -Maths 9th

Description : If p = 100r – t, find the value of p when r = 0.25 and t = 10. -Maths 9th

Last Answer : Solution :-

SAS importance in recent and past conflicts?

Description : SAS importance in recent and past conflicts?

Last Answer : Well the problem with all those clandestine, black ops types is that you aren't supposed to know what they're up to. Although in my opinion they've been extremely useful. In WW2 they supported Allied ... info here. I'm assuming you've looked at Wikipedia. You should also look at this TV show.

What is the full form of 'SAS' ? -How To ?

Description : What is the full form of 'SAS' ? -How To ?

Last Answer : The full form of 'SAS' is Side Angle Side

What is the full form of 'SAS' ? -How To ?

Description : What is the full form of 'SAS' ? -How To ?

Last Answer : The full form of 'SAS' is Subordinate Accounts Service

What is the full form of SAS ?

Description : What is the full form of SAS ?

Last Answer : SAS full version of Scandinavian Airlines System.

Given a grammar : S1→Sc, S→SA|A, A→aSb|ab, there is a rightmost derivation S1=>Sc =>SAC=>SaSbc. Thus, SaSbc is a right sentential form, and its handle is (A) SaS (B) be (C) Sbe (D) aSb

Description : Given a grammar : S1→Sc, S→SA|A, A→aSb|ab, there is a rightmost derivation S1=>Sc =>SAC=>SaSbc. Thus, SaSbc is a right sentential form, and its handle is (A) SaS (B) be (C) Sbe (D) aSb 

Last Answer : (D) aSb

What is the full form of 'SSS' ? -How To ?

Description : What is the full form of 'SSS' ? -How To ?

Last Answer : The full form of 'SSS' is Side Side Side

sss?

Description : sss?

Last Answer : Thanks

The IEEE 802.11standardfor wireless LANs defines twoservices: ______and_______. A) BSS; ASS B) ESS; SSS C) BSS; ESS D) BSS; DCF

Description : The IEEE 802.11standardfor wireless LANs defines twoservices: ______and_______. A) BSS; ASS B) ESS; SSS C) BSS; ESS D) BSS; DCF

Last Answer : BSS; ESS

Theprotocol that isused for signaling in the telephone network is called ______. A) POP B) SSS C) SS7 D) none of the above

Description : Theprotocol that isused for signaling in the telephone network is called ______. A) POP B) SSS C) SS7 D) none of the above

Last Answer : SS7

A ________ switch combines space-division and time-division technologies totake advantage of the bestof both. A) TST B) SSS C) TTT D) none of the above

Description : A ________ switch combines space-division and time-division technologies totake advantage of the bestof both. A) TST B) SSS C) TTT D) none of the above

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Given the following statements: S1 : The grammars S→asb | bsa | ss | a and S→asb | bsa | a are not equivalent. S2: The grammars S→ss | sss | asb | bsa | λ and S→ss | asb | bsa | λ are equivalent. Which of the following is true? (A) S1 is correct and S2 is not correct. (B) Both S1 and S2 are correct (C) S1 is not correct and S2 is correct (D) Both S1 and S2 are not correct.

Description : Given the following statements: S1 : The grammars S→asb | bsa | ss | a and S→asb | bsa | a are not equivalent. S2: The grammars S→ss | sss | asb | bsa | λ and S→ss | asb | bsa | λ are equivalent. ... and S2 are correct (C) S1 is not correct and S2 is correct (D) Both S1 and S2 are not correct.

Last Answer : (A) S1 is correct and S2 is not correct.

what- Fill in the blanks to the Hypotenuse- Leg Congruence Theorem.If the hypotenuse and leg of one right triangle are _____ to the _____ of another right triangle, then the triangles are congruent?

Description : what- Fill in the blanks to the Hypotenuse- Leg Congruence Theorem.If the hypotenuse and leg of one right triangle are _____ to the _____ of another right triangle, then the triangles are congruent?

Last Answer : congruent; hypotenuse and a leg

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Description : which congruence postulate or theorem would you use to prove MEX?

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Description : what- Complete the Angle-Side-Angle Congruence Postulate. The same words go in each blank.If _____ and the included side of one triangle are congruent to _____ and the included side of another triangle, then the triangles are congruent?

Last Answer : two angles

what- Complete the Angle-Angle-Side Congruence Theorem.If two angles and a non-included side of one triangle are congruent to two angles and a (1) _____ non-included side of another triangle, then the triangles are (2)?

Description : what- Complete the Angle-Angle-Side Congruence Theorem.If two angles and a non-included side of one triangle are congruent to two angles and a (1) _____ non-included side of another triangle, then the triangles are (2)?

Last Answer : (1) corresponding, (2) congruent

what- Fill in the blank in the statement below._____ Congruence is used in triangulation?

Description : what- Fill in the blank in the statement below._____ Congruence is used in triangulation?

Last Answer : angle- side angle

What is the type of congruence between the triangles shown?

Description : What is the type of congruence between the triangles shown?

Last Answer : side- angle- side

what- Fill in blank 1 and blank 2 to explain why Angle-Side-Angle Congruence helps imply Angle-Angle-Side Congruence?

Description : what- Fill in blank 1 and blank 2 to explain why Angle-Side-Angle Congruence helps imply Angle-Angle-Side Congruence?

Last Answer : If two pairs of angles and a pair of corresponding non-included sides of two triangles are congruent, then by the Third Angle Theorem, the (1)_______ is also congruent. Therefore, the side ... (2)________ between two congruent angles. So, by Angle-Side-Angle Congruence, the triangles are congruent.

what- For the given figure, which of the following can be proved using Side-Side-Side Congruence?

Description : what- For the given figure, which of the following can be proved using Side-Side-Side Congruence?

Last Answer : ~ IOA

what- For the given figure, which of the following can be proved using Side-Angle-Side Congruence?

Description : what- For the given figure, which of the following can be proved using Side-Angle-Side Congruence?

Last Answer : LUE

Which is the correct congruence statement for the triangles shown?

Description : Which is the correct congruence statement for the triangles shown?

Last Answer : edr

What is hya congruence?

Description : What is hya congruence?

Last Answer : it is a kind of sexual intercourese like dougie.........

Shortly after purchasing a product, the postpurchase evaluation may result in cognitive dissonance. Cognitive dissonance is best defined as A)the congruence between external and internal searches for product information. B)satisfaction with the purchase. C)the establishment of criteria for comparing products. D)doubts that occur because the buyer questions whether the decision to purchase the product was right.

Description : Shortly after purchasing a product, the postpurchase evaluation may result in cognitive dissonance. Cognitive dissonance is best defined as A)the congruence between external and internal searches for ... occur because the buyer questions whether the decision to purchase the product was right.

Last Answer : D)doubts that occur because the buyer questions whether the decision to purchase the product was right.

how to find T.S.A and C.S.A -Maths 9th

Description : how to find T.S.A and C.S.A -Maths 9th

Last Answer : Given:Height=16 cm Radius=12cm l2=r2+h2 yo can see the solution on priyanshuclass9.blogspot.com

AP and BQ are the bisectors of the two alternate interior angles formed by the intersection of a transversal t with parallel lines l and m (in the given figure). Show that AP || BQ. -Maths 9th

Description : AP and BQ are the bisectors of the two alternate interior angles formed by the intersection of a transversal t with parallel lines l and m (in the given figure). Show that AP || BQ. -Maths 9th

Last Answer : Given In the figure l || m, AP and BQ are the bisectors of ∠EAB and ∠ABH, respectively. To prove AP|| BQ Proof Since, l || m and t is transversal. Therefore, ∠EAB = ∠ABH [alternate interior ... ∠PAB and ∠ABQ are alternate interior angles with two lines AP and BQ and transversal AB. Hence, AP || BQ.

how to find T.S.A and C.S.A -Maths 9th

Description : how to find T.S.A and C.S.A -Maths 9th

Last Answer : Given:Height=16 cm Radius=12cm l2=r2+h2 yo can see the solution on priyanshuclass9.blogspot.com

AP and BQ are the bisectors of the two alternate interior angles formed by the intersection of a transversal t with parallel lines l and m (in the given figure). Show that AP || BQ. -Maths 9th

Description : AP and BQ are the bisectors of the two alternate interior angles formed by the intersection of a transversal t with parallel lines l and m (in the given figure). Show that AP || BQ. -Maths 9th

Last Answer : Given In the figure l || m, AP and BQ are the bisectors of ∠EAB and ∠ABH, respectively. To prove AP|| BQ Proof Since, l || m and t is transversal. Therefore, ∠EAB = ∠ABH [alternate interior ... ∠PAB and ∠ABQ are alternate interior angles with two lines AP and BQ and transversal AB. Hence, AP || BQ.

The letters ofthe word ‘NATIONAL’are arranged atrandom. What is the probability that the last letter will be T ? -Maths 9th

Description : The letters ofthe word ‘NATIONAL’are arranged atrandom. What is the probability that the last letter will be T ? -Maths 9th

Last Answer : (c) \(rac{1}{8}\)Let S be the sample space.Then n(S) = Total number of ways in which the letters of word NATIONAL can be arranged= \(rac{8!}{2!\,2!}\) (∵There are 2A s and 2N's in 8 letters)Let E : Event of ... !}{2!\,2!}}\) = \(rac{7!}{8!}\) = \(rac{7!}{8 imes7!}\) = \(rac{1}{8}\).

PQRS is a rectangle in which PQ = 2PS. T and U are the mid-points of PS and PQ respectively. QT and US intersect at V. -Maths 9th

Description : PQRS is a rectangle in which PQ = 2PS. T and U are the mid-points of PS and PQ respectively. QT and US intersect at V. -Maths 9th

Last Answer : answer:

The angle of elevation of the top of a tower from two points distant s and t from its foot are complementary. Prove that the height of the tower is √st. -Maths 9th

Description : The angle of elevation of the top of a tower from two points distant s and t from its foot are complementary. Prove that the height of the tower is √st. -Maths 9th

Last Answer : let the height of the tower= QR Angle of elevation= Angle RSQ= theta Then angle QTR= 90 degree- theta In triangle QTR, Tan(90 degree- theta)= QR/t That implies: cot theta= QR/t That implies: 1/tan theta= QR/t That ... ) From ( 1 ) and ( 2 ), t/QR= QR/s That implies: QR^2= st That implies: QR= root

p(x)=x3+3x2+3x+1, g(x) = x+2 -Maths 9th

Description : p(x)=x3+3x2+3x+1, g(x) = x+2 -Maths 9th

Last Answer : p(x) = x3+3x2+3x+1, g(x) = x+2 g(x) = 0 ⇒ x+2 = 0 ⇒ x = −2 ∴ Zero of g(x) is -2. Now, p(−2) = (−2)3+3(−2)2+3(−2)+1 = −8+12−6+1 = −1 ≠ 0 ∴By factor theorem, g(x) is not a factor of p(x

Use the Factor Theorem to determine whether g(x) is a factor of p(x) in each of the following cases: (i) p(x) = 2x3+x2–2x–1, g(x) = x+1 -Maths 9th

Description : Use the Factor Theorem to determine whether g(x) is a factor of p(x) in each of the following cases: (i) p(x) = 2x3+x2–2x–1, g(x) = x+1 -Maths 9th

Last Answer : Solution: p(x) = 2x3+x2–2x–1, g(x) = x+1 g(x) = 0 ⇒ x+1 = 0 ⇒ x = −1 ∴Zero of g(x) is -1. Now, p(−1) = 2(−1)3+(−1)2–2(−1)–1 = −2+1+2−1 = 0 ∴By factor theorem, g(x) is a factor of p(x

3. ABCD is a rectangle and P, Q, R and S are mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rhombus. -Maths 9th

Description : 3. ABCD is a rectangle and P, Q, R and S are mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rhombus. -Maths 9th

Last Answer : Solution: Given in the question, ABCD is a rectangle and P, Q, R and S are mid-points of the sides AB, BC, CD and DA respectively. Construction, Join AC and BD. To Prove, PQRS is a rhombus. Proof: In ΔABC P and Q ... (ii), (iii), (iv) and (v), PQ = QR = SR = PS So, PQRS is a rhombus. Hence Proved

2. ABCD is a rhombus and P, Q, R and S are the mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rectangle. -Maths 9th

Description : 2. ABCD is a rhombus and P, Q, R and S are the mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rectangle. -Maths 9th

Last Answer : Solution: Given in the question, ABCD is a rhombus and P, Q, R and S are the mid-points of the sides AB, BC, CD and DA respectively. To Prove, PQRS is a rectangle. Construction, Join AC and BD. Proof: In ΔDRS and ... , In PQRS, RS = PQ and RQ = SP from (i) and (ii) ∠Q = 90° , PQRS is a rectangle.

ABCD is a quadrilateral in which P, Q, R and S are mid-points of the sides AB, BC, CD and DA (see Fig 8.29). AC is a diagonal. Show that: (i) SR || AC and SR = 1/2 AC (ii) PQ = SR (iii) PQRS is a parallelogram. -Maths 9th

Description : ABCD is a quadrilateral in which P, Q, R and S are mid-points of the sides AB, BC, CD and DA (see Fig 8.29). AC is a diagonal. Show that: (i) SR || AC and SR = 1/2 AC (ii) PQ = SR (iii) PQRS is a parallelogram. -Maths 9th

Last Answer : . Solution: (i) In ΔDAC, R is the mid point of DC and S is the mid point of DA. Thus by mid point theorem, SR || AC and SR = ½ AC (ii) In ΔBAC, P is the mid point of AB and Q is the mid point of BC. ... ----- from question (ii) ⇒ SR || PQ - from (i) and (ii) also, PQ = SR , PQRS is a parallelogram.

2 . If the mean of the following distribution is 6 . Find the value of p ? x 2 4 6 10 P + 5 f 3 2 3 1 2 -Maths 9th

Description : 2 . If the mean of the following distribution is 6 . Find the value of p ? x 2 4 6 10 P + 5 f 3 2 3 1 2 -Maths 9th

Last Answer : Here's ur answer...

Express 1.27 bar in p/q form. -Maths 9th

Description : Express 1.27 bar in p/q form. -Maths 9th

Last Answer : (1) x = 1.2727272727......... (2) 100x = 127.27272727......... From subtracting (1) and (2 ) We get : 99x = 126.0000000 x = 126/99 = 14/11.