In the middle of the city, there was a park ABCD in the form of a parallelogram form so that AB = CD, AB||CD and AD = BC, AD||BC. Municipality converted this park into a rectangular form by adding land in the form of △APD and △BCQ. Both the triangular shape of land were covered by planting flower plants.

Congruence of Triangles, Conditions for Quadrilateral to be Parallelogram | PadhAiPro

Question

CASE_STUDIESCongruence of TrianglesConditions for Quadrilateral to be Parallelogram3 sub-questions

Which of the following is not a criterion for congruence of triangles?

If ABC is an isosceles triangle with AB=AC. BD and CE are two medians of the triangle. Prove that BD=CE.

If measure of opposite angles of a parallelogram are (60 − x)° & (3x − 4)°, find the measures of angles of the parallelogram.

Fill in the blanks:

M,N & P are the mid-points of sides AB, AC & BC of a △ ABC respectively. If MN= 3 cm, NP= 3.5 cm and MP= 2.5 cm, calculate BC, AB & AC respectively.

If △ ABC & △ DEF are two triangles such that AB, BC are respectively equal and parallel to DE, EF, then show that