Determine whether the polygons to the right are similar. If so, write a similarity statement and give the scale factor. If not, explain.

E, Yes. ∆HJK ~ ∆STV. The scale factor is ½.

Step-by-step explanation:

1. Similarity statement

When you name similar triangles, the order of the letters of corresponding angles must be in matching order.

For example, in ∆HJK, ∠H is the right angle, ∠J is the larger acute angle, and ∠K is the smallest angle.

The corresponding parts in ∆STV are ∠S, ∠T, and ∠V.

The similarity statement is

∆HJK ~ ∆STV

2. Scale factor

The scale factor (C) is the ratio of corresponding parts of the two triangles.  

If ∆HJK is transformed to ∆STV, the scale factor is

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.

a

step-by-step explanation: