Question

are these shapes congruent?
(there are two quadrilaterals in the image, with side lengths and angles marked. below the image, there are two buttons: yes and no.)

Explanation:

Step1: Define congruent shapes

Congruent shapes have all corresponding sides equal in length and all corresponding angles equal in measure.

Step2: Compare side lengths

First shape: Sides = 26 mm, 39 mm, 26 mm, 39 mm
Second shape: Sides = 22 mm, 39 mm, 26 mm, 39 mm
Corresponding sides (e.g., DC=26 mm vs HI=22 mm) are not equal.

Step3: Compare angle measures

First shape: All angles = 90° (right angles)
Second shape: Angles = 89°, 97°, 84°, 90°
Corresponding angles are not equal.

Answer:

no