Download Write each ratio in simplest form. 1. 36:12 2.

Name _________________________________________________ Date ________________
Write each ratio in simplest form.
1.
36: 12
2.
6𝑥𝑦 2
3. Ms. Lorenz has 84 students in
Geometry. If the ratio of girls
to boys is 7:5, find the
number of boys.
24𝑥𝑦
Solve for each variable.
4.
6.
𝑦−2
2
𝑥
𝑥−6
=
𝑦+3
=
𝑥+5
4
𝑥
5.
7.
5𝑥−2
3
−9𝑦
𝑦+8
=
=
7𝑥
4
𝑦−3
2
Given the ratio, solve for x.
8.
DO : OG : DG is 5 : 5 : 4
9.
AC : BC : AB is 2 : 1 : 2
9. The batting average is the ratio of the number
of hits to the numbers of at bats. A baseball
player with 512 at bats needs how many hits
to have a batting average of at least 0.275?
Express your answer as a whole number.
10. Find the angle measures for a triangle if the
extended ratio of the angles is 17 : 8 : 5.
11. The perimeter of ∆HIJ is 33. The extended
ratio of the sides is 2 : 4 : 5. Find the length of
each side of the triangle, then classify the
triangle by its sides.
12. The ratio of the measures of two
supplementary angles is 7:2. Find the
measures of the angles.
13. Find the scale factor of Figure A to Figure B.
14. Find the scale factor of Figure B to Figure A.
14
24
B
36
20
20
A
A
9
12
21
B
28
25.2
15
15. If ∆NML ~ ∆SRL, find the value of x.
R
M
28
24
L
3x – 1
x+7
S
N
16. If ∆DEF ~ ∆JKL, find KL.
L
E
10
D
x + 11
6x + 3
F
J
25
K
18
Determine if the triangles are similar, if possible, by AA~, SAS~, or SSS~. Show all work to support your
answer.
7
17.
18.
37˚
28˚
125˚
125˚
39˚
4
27˚
6
11
15˚
129˚
19.
20.
5
14
24
15
27
18
18
21
16.5
5.5
Write a proportion and solve to find the value(s) of the variable(s).
(Drawings may not be drawn to scale)
21.
22.
23.
24.
25. Find the value of x. The figure is not drawn to scale. Round your answer to the nearest tenth.
40 ft
5.5 ft
x
8 ft
26. Complete the following proof:
Given: ∠ADC and ∠BEA are right angles
Prove: ∆ADC ~ ∆AEB
Statements
Reasons
1.
1.
2.
2.
3.
3.
4.
4.