Download Geometry Name REVIEW 7.1 – 7.4 For numbers 1 – 4

Geometry
REVIEW 7.1 – 7.4
Name _____________________________________
For numbers 1 – 4, solve the proportion.
1.
2
x

5 25
2.
10 7

3 x
3.
y4 y2

11
9
4.
z 1
8

3
z 1
5. A baseball player on the Minnesota Twins went up to bat a total of 6 times in a game. Out of those 6 at-bats, he hit the ball 2 times.
If the baseball player went up to bat 450 times throughout the season, estimate the total number of times he hit the ball during the
season.
For numbers 6 and 7, each pair of polygons is similar.
a) Find the value of x and the scale factor of the bigger figure to the smaller figure.
6.
b) List the congruent angles and write a proportion that relates the corresponding sides.
6a) x = _________; SF = _______
6b) _______  _______
_______  _______
_______  _______


7.
7a) x = _________; SF = _______
7b) _______  _______
_______  _______
_______  _______
________=________=________=________
8. Two similar polygons have a scale factor of 3:5. The perimeter of the larger polygon is 120 feet. Find the perimeter of the smaller
polygon.
For numbers 9 and 10, determine whether the triangles are similar. If so, write a similarity statement. If not, explain how you know.
9.
Similarity Statement: _____________
Explain: ________________________________________
_______________________________________________
10.
Similarity Statement: _____________
Explain: ________________________________________
_______________________________________________
For numbers 11 and 12, identify the similar triangles by writing a similarity statement. Then solve for x.
11.
12.
Similarity Statement: _____________
x = _____________
Similarity Statement: _____________
x = _____________
̅̅̅̅ ∥ ̅̅̅̅
13. Determine whether the given information implies 𝐵𝐶
𝐷𝐸 . Explain.
A
a)
7
D
2
B
b)
A
8
6
E
D
9
3
B
C
Explain: _______________________________
______________________________________
4
E
6
C
Explain: _______________________________
______________________________________
For numbers 14 and 15, ̅̅̅̅
𝐷𝐸 is a midsegment of ∆𝐴𝐵𝐶. Find the value of x.
14.
15.
16. You’re trying to determine the height of a tree. The length of the tree’s shadow is 12 feet. Your shadow is 4.25 feet. You are 5.5
feet tall. How tall is the tree, to the nearest tenth of a foot? (Draw a picture to help)
For numbers 17 and 18, use the given ratios for each shape to determine the missing measures.
17. The angles of ARK have a ratio of 3:4:5. Find the measure of each angle.
18. The sides of rectangle GRAD have a ratio of 2:7 with a perimeter of 72 cm. Find the length of each side.