Unit 6 Test: Similar Triangles

Front

The ratio of the sides of a triangle is 2:6:7. If the perimeter of the triangle is 195 meters, what is the length of the longest side?

Back

91 meters

Front

The ratio of the angles in a triangle is 3:10:7. What is the measure of the smallest angle?

Back

27°

Front

What is the scale factor of Figure B to Figure A?

Back

2/5 or 0.4

Front

If the scale factor of Figure A to Figure B is 3:8, find the value of x.

Back

9

Front

If ΔGHJ ~ ΔLMK, with a scale factor of 5:6, find the perimeter of ΔGHJ. (ΔLMK: sides 14, 17, 11)

Back

35

Front

If ΔCDE ~ ΔFGE, find the value of x.

Back

43.2

Front

If ΔHBN ~ ΔLYR, find the value of x. (ΔHBN: sides 28, 3x-7; ΔLYR: sides 21, x+11)

Back

13

Front

ΔPTS ~ ΔPQR, PT = 5x + 13, PQ = 36, TS = 30, QR = 6x - 2. Find x.

Back

x = 7

Front

ΔFGH ~ ΔKJH, find FH. (FG = x + 8, KJ = 32, FH = 4x - 25, KH = 52)

Back

FH = 39

Front

ΔPML ~ ΔTRQ, PM = 35, TR = 14, ML = 7x - 9, RQ = 2x + 2. Find QR.

Back

QR = 16