## brianAC. 2 years ago 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

1. brianAC.

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2. lucy4104

Are they proportional?

3. completeidiot

they are similar so yes they are proportional

4. syhna

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

5. lucy4104

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

6. lucy4104

And so it would be answer choice A.

7. brianAC.

A? you sure?

8. mathstudent55

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

9. lucy4104

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

10. lucy4104

Do you understand? Need more elaboration?