Quiz Review - Geometric Mean and Pythagorean Theorem

Geometry
Quiz Review
Geometric Means, Pythagorean Theorem and Classifying
Similar Triangles
Name: __________________________
Date: _________________ Period: ___
1. Using the drawing below, name 3 similar (~) triangles.
B
D
∆ __________ ~ ∆ __________ ~ ∆ __________
A
C
Geometric Mean
Find the geometric mean. Leave in simplest radical form.
2. 8 and 10
3. 7 and 9
Setup geometric mean proportions to find the missing sides. Show all work.
B
4.
3
x = _________
D
Y
y = _______
5
x
z = _______
A
C
Z
5.
B
x = _________
4
A
10
D x
C
Geometry
Name: __________________________
Quiz Review
Geometric Means, Pythagorean Theorem and Classifying
Date: _________________ Period: ___
6.
x = __________
Z
Y
y = __________
x
z = __________
4
7
7.
x = __________
8
2
x
Pythagorean Theorem (you must draw a diagram)
8. The foot of a ladder is placed 6 feet from a wall. If the top of the ladder rests 8 feet up on the
wall, how long is the ladder?
9. Donna’s TV screen is 20 inches long. If the diagonal measures 25 inches, how wide is Donna’s
TV?
10. Town A is 9 miles North of Town B, and 12 miles west of Town C. A road connects Town B
and Town C directly. Find the length of this road.
Geometry
Quiz Review
Geometric Means, Pythagorean Theorem and Classifying
Name: __________________________
Date: _________________ Period: ___
Use the Pythagorean Theorem to find the value of x. Leave in simplest radical form.
11.
12.
x
x
4
8
11
5
13.
14.
13
14
7
x
x
16
y
15.
16.
15
7
10
11
x
x
Geometry
Quiz Review
Geometric Means, Pythagorean Theorem and Classifying
Name: __________________________
Date: _________________ Period: ___
Indicate whether or not each set of lengths is a Pythagorean Triple.
17.
3, 4, 5
___________
18.
8, 17, 15
___________
19.
10, 21, √
___________
20.
7, 8, √
___________
Classifying Triangles
Determine whether the numbers could represent the lengths of the sides of a triangle. If they do,
classify the triangle as obtuse, acute or right.
21.
14, 11, 10
____________
22.
4, √
____________
23.
4, 5, 5
____________
24.
√ , 5, 5.5
_____________
25.
√
_____________
,9
, 6, 7

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