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What angle is formed by the diagonals?

A rhombus is a parallelogram with four congruent sides. Also, each diagonal of a rhombus bisects a pair of opposite angles. In addition to bisecting the vertices, did you know that the diagonals also form a special angle with each other? Complete the activity below to see if you can figure out what angle forms when diagonals of a rhombus intersect.

Click here to begin.

diagonals

In rhombus ABCD, the diagonals intersect at a
angle.
90°
180°
45°
Correct!
What symbol is shown where the diagonals intersect?

diagonals

In rhombus EFJH, the diagonals are
.
supplementary
perpendicular
parallel
Correct!
What angle is formed where the diagonals intersect?

diagonals

In rhombus WXYZ, diagonal WY is
to diagonal XZ.
supplementary
perpendicular
parallel
Correct!
What symbol is shown where the diagonals intersect?

Complete

 

Question

Based on this activity, what is the relationship between the diagonals of a rhombus?

The diagonals of a rhombus are perpendicular.