Use the image to answer the question.
An illustration shows two similar right trapezoids.
For trapezoid A B C D, base C D measures 10, and side A D measures 20. Right angle symbols are indicated at vertices A and D. For trapezoid M N O P, base O P measures 8, and side P M measures 16. Right angle symbols are indicated at vertices M and P. Between the two trapezoids, the angle at vertex A is congruent with the angle at vertex M. The angle at vertex D is congruent with the angle at vertex P. The angle at vertex C is congruent with the angle at vertex O, and the angle at vertex B is congruent with the angle at vertex N.
Trapezoid ABCD is similar to trapezoid MNOP . Find the ratio between trapezoid ABCD and trapezoid MNOP . Express the answer in simplest form.
(1 point)
Responses
2/1
1/2
4/5
5/4
The ratio between trapezoid ABCD and trapezoid MNOP can be found by comparing their corresponding side lengths.
In trapezoid ABCD, base CD measures 10, and side AD measures 20.
In trapezoid MNOP, base OP measures 8, and side PM measures 16.
To find the ratio between the trapezoids, we can compare the corresponding sides:
CD : OP = 10 : 8 = 5 : 4
AD : PM = 20 : 16 = 5 : 4
Since the corresponding sides have the same ratio, the ratio between trapezoid ABCD and trapezoid MNOP is 5 : 4.