The image is ∆AB blank, ∆BC is blank, ∆CD is 10, and ∆AD is 20. The other image is ∆MN is blank, ∆NO is blank, ∆OP is 8, and ∆MP is 16.
The trapezoid ABCD is similar to trapezoid MNOP. Find the ratio between trapezoid ABCD and trapezoid MNOP. express the answer in simplest form.
A. 2/1
B. 5/4
C. 1/2
D. 4/5
To find the ratio between similar trapezoids ABCD and MNOP, we can use the similarity of the trapezoids to match corresponding lengths. The lengths given for ∆CD and ∆OP are corresponding lengths, as are the lengths for ∆AD and ∆MP.
If ∆CD in trapezoid ABCD is 10 and the corresponding length ∆OP in trapezoid MNOP is 8, we can set up a proportion to find the similarity ratio:
∆CD / ∆OP = 10 / 8
Simplify the ratio by dividing both sides by 2:
10 / 8 = (10 ÷ 2) / (8 ÷ 2) = 5 / 4
So, the similarity ratio of trapezoid ABCD to trapezoid MNOP is 5/4.
Therefore, the answer is B. 5/4.