Question

diagonals of which of the following do not divides it into two congruent triangles? a. Rhombus b. trapezium c. square. d. rectangle ​

Answer 1

Answer:

a)rhombus is the answer

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Answer 2

Trapezium diagonals do not divides it into two congruent triangles.

Explanation:

Rhombus :

1. Rhombus diagonals bisect each other at right angles or 90°.
2. In rhombus the sum of two adjacent angles is equal to 180 degrees.
3. Rhombus diagonals are equal . So , they divide into two congruent triangles.

Trapezium:

1. Diagonals bisect each other.
2. The length of the mid is equal to half the sum of the parallel bases.
3. Diagonals of a trapezium may not be equal but they do not form two congruent triangles.

Square:

1. square has two diagonals are equal in length to each other.
2. Square divides it into two congruent triangles.

Rectangle:

1. Rectangle diagonals are equal and bisect each other.
2. The other name is parallelogram.
3. It form two congruent triangles.

Hence ,

option ( a) Trapezium is correct

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