Question

How can you justify that the diagonals of a rhombus bisect opposite interior angles? A. Show that the diagonals form two congruent triangles using the definition of a rhombus and geometric properties. Then, use CPCTC (corresponding parts of congruent triangles are congruent) to show that the opposite interior angles are bisected. B. Show that the interior angles of each triangle created by the diagonals must add to 180°. C. Show that the exterior angles of the rhombus must sum to 360°. D. Show that the vertical angles created by the diagonals are congruent. Then, show that the opposite interior angles are supplementary to these angles.

Answer 1

A. Show that the diagonals form two congruent triangles using the definition of a rhombus and geometric properties. Then, use CPCTC (corresponding parts of congruent triangles are congruent) to show that the opposite interior angles are bisected.

Explanation:

Answer choice A is the only one that applies specifically to a rhombus.

The other answer choices are true of triangles and vertical angles in general. They do not relate specifically to the problem at hand.