If ABC was dilated from the origin to create A'B'C', what was the scale factor?
Scale factor: 2
If ABCD ~ GHIJ, which side in GHIJ corresponds to side BC?
HI
Find the missing length. The triangles are similar.
10
Solve for x:
x/3=21/9
x=7
Two triangles that have two corresponding angles congruent are similar by ___________________.
AA~
Triangle 1: sides 8, 12, 10
Triangle 2: sides 24, 20, 16
Similar or Not? Name the theorem it satisfies or fails.
Yes by SSS
If ABC was dilated from the origin to create A'B'C', what was the scale factor?
Scale factor: 3
Complete the similarity statement:
KLM ~ TUV
Find the missing length. The triangles are similar.
28
Solve for x:
15/x =20/8
x=6
enter Q
14
No, fails AA
(top 52˚, 89˚, 39˚,
bottom 43˚, 89˚, 48˚)
If Figure A was dilated from the origin to create Figure B, what was the scale factor?
Scale factor:
5/2
Complete the similarity statement:
Triangle RQP ~ Triangle TUV
Find the missing length. The triangles are similar.
35
Solve for x:
5/14=6/x
x=16.8 or
84/5
A midsegment of a triangle is a line segment that connects the ____________ of two sides of a triangle.
midpoints
Yes by Side Splitter (
9/36 = 10.5/42
) OR by SSS
If PQR were dilated from the origin by a scale factor of 3 to create P'Q'R', what would be the coordinates of Q'?
Q'(9, 3)
Complete the similarity statement:
ABC ~ EFG
BC is parallel to DE, solve for x:
A:
Solve for x (leave answer as a fraction):
5/(x+6)=7/9
x=3/7
1. How many midsegments does a triangle have?
2. How many congruent triangles do they form when all are drawn?
3 midsegments
4 congruent triangles
Yes by SAS (vertical angles and
8/18 = 12/27
If ABCD were dilated from the origin to create A'B'C'D' with a scale factor of 4, what would be the coordinates of C'?
C'(-8, 4)
Complete the similarity statement:
DCB ~ WVU
Find the missing length. The polygons are similar.
18
Solve for x (leave answer as a fraction):
3/4 = (2x-7)/13
x=
67/8
Q
scale factor 2, P1 = P2 =
Q
A