This is the review for the Unit 7 Test on Wednesday, April 24th.
Complete the entire document for full credit.
This is the review for the Unit 7 Test on Wednesday, April 24th.
Complete the entire document for full credit.
Day 1 4/21/25
Dilations
Required
5
Question 1
1.
Use △ABC and its image △A'B'C' after a dilation to answer the following questions.
What is the ratio of the perimeters of ABC to A'B'C' ?
_______ to _______
What is the scale factor of ABC to A'B'C' ?_______
Required
15
Question 2
2.
Ratios and Properties
Required
5
Question 3
3.
Write the ratio in simplest form:
The hockey team played 82 regular-season games last year. If they won 44 games, what is the ratio of wins to losses?
Required
10
Question 4
4.
Solve this proportion for x.
Similar Triangles
Required
15
Question 5
5.
List all congruent angles if △XYZ~△RYS
∠X =∠_______
∠_______ =∠S
∠Y =∠_______
Required
10
Required
15
Required
15
Similar Triangles W/Equations
Required
10
Question 9
9.
Use the triangle proportionality to solve for x.
Required
10
Question 10
10.
USE THE SIMILARITY RELATIONSHIP TO FIND THE INDICATED VALUE:
If △AGM ~ △KXD; find x
Triangle Proportionality
Required
10
Question 11
11.
Use the triangle proportionality to solve for x.
Required
10
Question 12
12.
△ABC~△XYZ, so find the missing height h
Pythagorean Theorem
Required
10
Question 13
13.
Use the Pythagorean Theorem to find the missing side of the following triangle.
Leave your answer in simplest radical form.
Similarity in Right Triangles
Required
5
Question 14
14.
Find the geometric mean between 3 and 12.
(Remember to simplify your radical. Do not use decimals)
Required
10
Required
10
Required
10
Day 2 4/22/25
Required
10
Required
10
Required
10
Required
10
Required
10
10
Required
10
Find the Missing Angles
Required
10
Question 25
25.
Solve for x.
Round to the nearest tenth.
Required
10
Question 26
26.
Required
10
Graph and label each figure and its image under a dilation with the given
scale factor. Assume all dilations use the origin as the center of dilation.
W': _______
X': _______
Y': _______
Question 6
6.
Find the value of x
Question 7
7.
Find the length of each segment.
AC=_______
KB=_______
AB=_______
Question 8
8.
Find the length of each segment.
RS=_______
RT=_______
TV=_______
Question 15
15.
Solve for x. (Round to the nearest tenth)
Question 16
16.
Solve for x. (Round to the nearest tenth)
Question 17
17.
Solve for x. (Round to the nearest tenth)
Trigonometric Functions
Question 18
18.
Give each trig ratio as a fraction in simplest form.
Sin Q
Question 19
19.
Give each trig ratio as a fraction in simplest form.
Cos Q
Question 20
20.
Give each trig ratio as a fraction in simplest form.
Tan Q
Question 21
21.
Solve for x. Round to the nearest tenth.
Question 22
22.
Solve for x. Round to the nearest tenth.
Question 23
23.
Solve for x. Round to the nearest tenth.
Question 24
24.
A ramp is used to load suitcases
on an airplane. If the cargo door
is 7 feet from the ground and
the angle formed by the end of
the ramp and the ground is 25°,
how long is the ramp?
(Round your answer to the nearest tenth)
Solve for x. Round to the nearest tenth.
Question 27
27.
Jake leaned a 12-foot ladder against his house. If the angle formed by the ladder and the ground is 68° , how far from the base of the house did he place the ladder?