Question 10
Question: In the following examples, the hypothesis is marked on the diagram. Write the postulate of congruence you would use to support your argument that the triangles are congruent. If more than one hypothesis is applicable to any example, state both. Answer: i) ..
Question: In the following examples, the hypothesis is marked on the diagram. Write the postulate of congruence you would use to support your argument that the triangles are congruent. If more than one hypothesis is applicable to any example, state both. Answer: i) ..Proof:
AB||CD (by definition of parallelogram) AC is a transversal. (alternate angles are equal in a parallelogram) Also AB=DC (opposite sides are equal in a parallelogram) Now in D AOB and D COD, AB=DC (opposite sides of parallelogram are equal) (proved by (i)) D AOB D COD (AAS congruency condi..
AB||CD (by definition of parallelogram) AC is a transversal. (alternate angles are equal in a parallelogram) Also AB=DC (opposite sides are equal in a parallelogram) Now in D AOB and D COD, AB=DC (opposite sides of parallelogram are equal) (proved by (i)) D AOB D COD (AAS congruency condi..Proof:
Suppose P is different from O, then in triangles OPM and OPN, OP=OP (common side) (given) ( given) (AAS congruency theorem) Hence, PM=PN ( CPCT) If P coincides with O, then it is equidistant from AB and CD, since they intersect at O P is equidistant from AB and ..
Suppose P is different from O, then in triangles OPM and OPN, OP=OP (common side) (given) ( given) (AAS congruency theorem) Hence, PM=PN ( CPCT) If P coincides with O, then it is equidistant from AB and CD, since they intersect at O P is equidistant from AB and ..See what our Users say :
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