AnswersNY-Geometry Term 1 HillcrestUsing Triangle Similarity Theorems

Finding the Hypotenuse in Right Triangles (Sec 8-1) Answers

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1
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Which equation could be used to find the length of the hypotenuse?

Question illustration
A
2 squared + 5 squared = c squared
Option A
B
2 squared + c squared = 5 squared
Option B
C
c squared minus 2 squared = 5 squared
Option C
D
5 squared minus 2 squared = c squared
Option D
2
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Carlos went to buy a television the same size as his friend’s. When he got to the store, he found that televisions are measured along the diagonal. Which equation will help him find the size he wants?

Question illustration
A
20 squared + 35 squared = d squared
Option A
B
d squared + 20 squared = 35 squared
Option B
C
d squared + 35 squared = 20 squared
Option C
D
35 squared minus 20 squared = d squared
Option D
3

Alyssa is jogging near Central Park. She runs along 65th Street for about 0.19 miles, turns right and runs along Central Park West for about 0.28 miles. She then turns right again and runs along Broadway until she reaches her starting point. How long is her total run to the nearest hundredth of a mile?

Question illustration
A
0.68 miles
B
0.81 miles
C
1.15 miles
D
1.44 miles
4

Keith left his house, rode his bike 3 miles along one road, took a 90 degree turn, and rode 3 miles to the local swimming pool. If he had ridden directly to the pool, how much distance would he have saved? Round the answer to the nearest tenth of a mile.

Question illustration
A
1.2 miles
B
1.8 miles
C
2.5 miles
D
4.2 miles
5

Mrs. Ibarra wants to create a right triangle for a geometry test. She plans to use 15, 36, and 41 as side lengths.Select the four true statements regarding the side lengths Mrs. Ibarra chose.

A
, so the side lengths will form a triangle.
Option A
B
, so those lengths will not form a triangle.
Option B
C
15 squared + 36 squared = 1,521
Option C
D
41 squared = 1,681
Option D
E
Since , it will not be a right triangle.
Option E
F
15 squared + 36 squared = 297
Option F
G
41 squared = 82
Option G
6

Which equation could be used to find the length of the hypotenuse?

Question illustration
A
6 squared + 11 squared = c squared
Option A
B
6 squared + c squared = 11 squared
Option B
C
c squared minus 6 squared = 11 squared
Option C
D
11 squared minus 6 squared = c squared
Option D
7

Sanjay, Colby, and Arpitha are training to run a marathon. On Saturday, Sanjay ran miles, Colby ran 13 miles, and Arpitha ran the shortest route from the library to her house, as shown in the diagram. Which list shows the names in order from the person who ran the shortest distance to the one who ran the greatest distance?

Question illustration
A
Colby, Sanjay, Arpitha
B
Sanjay, Arpitha, Colby
C
Sanjay, Colby, Arpitha
D
Arpitha, Sanjay, Colby
8

Reynaldo rode his bike 2 miles north and 3 miles east. Which equation should he use to find the distance, d, that takes him directly back home?

Question illustration
A
2 squared + 3 squared = d squared
Option A
B
3 squared minus 2 squared = d squared
Option B
C
d squared + 2 squared = 3 squared
Option C
D
d squared + 3 squared = 2 squared
Option D
9

What is the length of the hypotenuse of the triangle?

Question illustration
A
cm
Option A
B
cm
Option B
C
cm
Option C
D
cm
Option D
10

Which equation could be used to find the length of the hypotenuse?

Question illustration
A
5 squared + 8 squared = c squared
Option A
B
5 squared + c squared = 8 squared
Option B
C
c squared minus 5 squared = 8 squared
Option C
D
8 squared minus 5 squared = c squared
Option D

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