Question

The two triangles illustrated below are similar. What are the values of x and y?
(picture below)

A. x = 3, y = 53
B. x = 9, y = 53
C. x = 6, y = 53
D. x = 3, y = 106

Answer 1

Are they proportional?

Answer 2

they are similar so yes they are proportional

Answer 3

the two triangle are similar , then the angles of the smaller triangle is the same with the bigger triangle, so "d" is already not an option

now to get the value of y try this proportion
5:30 = x:18

Answer 4

5 x 6 =30
X x 6 =18?
X=3
angle y would be equivalent to the angle in the second triangle.
Kay? >o<

Answer 5

And so it would be answer choice A.

Answer 6

A? you sure?

Answer 7

Yes, A is correct
In similar triangle, corresponding angle are congruent, so y = 53
Also, in similar triangle, the lengths of corresponding sides are proportional.
You know the ratio 30/5. The other sides must be in the same ratio, so
18/x = 30/5

Answer 8

yeah~ because if they really are proportional, the sides would have to be multiplied by the same constant.

Answer 9

Do you understand? Need more elaboration?