Is a shape split into two congruent triangles with different base angles a parallelogram?

1 Answer

Answer :

Yes, a parallelogram or a rhombus would fit the givendescription.

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Description : Prove that a diagonal of a parallelogram divide it into two congruent triangles. -Maths 9th

Last Answer : Given: A parallelogram ABCD and AC is its diagonal . To prove : △ABC ≅ △CDA Proof : In △ABC and △CDA, we have ∠DAC = ∠BCA [alt. int. angles, since AD | | BC] AC = AC [common side] and ∠BAC = ∠DAC [alt. int. angles, since AB | | DC] ∴ By ASA congruence axiom, we have △ABC ≅ △CDA

Description : Prove that a diagonal of a parallelogram divide it into two congruent triangles. -Maths 9th

Last Answer : Given: A parallelogram ABCD and AC is its diagonal . To prove : △ABC ≅ △CDA Proof : In △ABC and △CDA, we have ∠DAC = ∠BCA [alt. int. angles, since AD | | BC] AC = AC [common side] and ∠BAC = ∠DAC [alt. int. angles, since AB | | DC] ∴ By ASA congruence axiom, we have △ABC ≅ △CDA

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Last Answer : Solution :-

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Description : ‘If two sides and an angle of one triangle are equal to two sides and an angle of another triangle , then the two triangles must be congruent’. -Maths 9th

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Description : ‘If two sides and an angle of one triangle are equal to two sides and an angle of another triangle , then the two triangles must be congruent’. -Maths 9th

Last Answer : No, because in the congruent rule, the two sides and the included angle of one triangle are equal to the two sides and the included angle of the other triangle i.e., SAS rule.

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Last Answer : Yes that is correct.

Description : MCQ Questions for Class 9 Maths Chapter 9 Areas of Parallelogram and Triangles with answers -Maths 9th

Last Answer : Below you will find MCQ Questions of Chapter 9 Areas of Parallelograms and Triangles Class 9 Maths Free PDF Download that will help you in gaining good marks in the examinations and also cracking ... and Triangles MCQ Questions will help you in practising more and more questions in less time.

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Last Answer : To recall, a circle is a collection of points whose every point is equidistant from its centre. So, two circles can be congruent only when the distance of every point of both the circles are equal from the centre ... ) So, by SSS congruency, ΔAOB ΔCOD ∴ By CPCT we have, AOB = COD. (Hence proved).

Description : If two angles are right, they are congruent.ConverseInverseContrapositive?

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Description : Which type of triangle contains three congruent angles?

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Description : what-Norman was asked 2 prove that all right angles r congruent. He was provided a diagram with several right angles. Norman measured each angle with a protractor & found that they each measured 90°.?

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