Question

Select the correct answer. 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

Answer:

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 inter

Step-by-step explanation:

PLATO

Answer 2

We can justify that the diagonals of a rhombus bisect opposite interior angles  by Option A.

What is rhombus and some of its properties?

Rhombus is a parallelogram whose all sides are of equal lengths.

Its diagonals are perpendicular to each other and they cut each other in half( thus, they're perpendicular bisector of each other).

Its vertex angles are bisected by its diagonals.

We can justify that the diagonals of a rhombus bisect opposite interior angles.

Option A. First Show that the diagonals form two congruent triangles using the definition of a rhombus and geometric properties.

Second , use CPCTC (corresponding parts of congruent triangles are congruent) to show that the opposite interior angles are bisected.

Learn more about rhombus;

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