Question

are these shapes congruent? two quadrilaterals with angle and side length labels, and yes/no options

Explanation:

Step1: Recall congruent shapes definition

Congruent shapes have same shape and size (corresponding sides equal, corresponding angles equal).

Step2: Compare side lengths

First quadrilateral (ABCD) has sides 33 mi, 33 mi, 33 mi, 33 mi? Wait, no: D to C is 33, C to B is 33, B to A is 33, A to D is 33? Wait no, looking at angles: D angle 44°, A angle 136°, B angle 44°, C angle 136°. Sides: D to A: 33, D to C:33, C to B:33, B to A:33? Wait no, second quadrilateral (VSTR? Wait V, S, U, T? Sides: V to S:40, S to T:40, T to U:40, U to V:40? Wait no, angles: V angle 44°, S angle 136°, U angle 136°, T angle 44°. Wait, first quadrilateral has sides of 33 mi (DA, DC, CB, BA? Wait no, D to C is 33, C to B is 33, B to A is 33, A to D is 33? Wait no, the first figure: D, C, B, A. D to C:33, C to B:33, B to A:33, A to D:33? Wait no, angles: D:44°, A:136°, B:44°, C:136°. Second figure: V, S, U, T. V to S:40, S to T:40, T to U:40, U to V:40? Angles: V:44°, S:136°, U:136°, T:44°. Wait, but the side lengths: first has 33 mi sides, second has 40 mi sides. So corresponding sides are not equal (33 ≠ 40). So shapes are not congruent.

Answer:

no