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Determining a Triangle

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

Does the set of numbers represent a right triangle?

a)

Yes

b)

No

2.

Do the segment lengths 15, 12, and 9 form a right triangle?

a)

Yes

b)

No

c)

Maybe

d)

Pythagoras

3.

Do the following lengths form right triangles?


A = 4, B = 5.5, C = 9.2

a)

Yes

b)

No

4.

Do the following lengths form right triangles?


A = 12, B = 8.3, C = 16.7

a)

Yes

b)

No

5.

What transformation gets you from Triangle ABC to Triangle A"B"C"?

(a)  

6.

How do you get from the green triangle to the orange triangle?

a)

rotate clockwise 90 degrees

b)

rotate counterclockwise 180 degrees

c)

translate right 11 and up 9, then translate down 3 and left 2

d)

translate right 12 and up 4

e)

reflect over the y-axis then the x-axis

7.

How do you get from the blue triangle to the red triangle?

a)

reflection over y = 2, translate right 5

b)

rotate 180 degrees

c)

rotate 270 degrees

d)

translate right 5 and reflect over the y-axis

e)

do the cha cha slide

8.

A triangle is translated (x + 2, y - 10) and then rotated 90 degrees. If the triangle starts at A(-4, -2), B(3,4), C(-5, 6), where does the triangle end it's journey? Structure your answer as A"(x,y), B"(x,y), C"(x,y)

(a)  

9.

How do you get from the red triangle to the orange triangle?

a)

reflection over the y-axis and then the x-axis

b)

rotate 270 degrees and reflect over y = 2

c)

reflection over the y-axis and translate up 7

d)

rotate 180 degrees and reflect over y = 2

e)

translate up 7, translate right 6, and then reflect over the x-axis

10.

Based on the givens, which triangle congruence theorem can be used?

given:

∠A ≅ ∠D

∠B ≅ ∠E

AB ≅ DE

a)

SSS

b)

SAS

c)

ASA

d)

AAS