Unit 3 Geometry Practice Test

1. In the graph, what would the coordinates of A', B', C' be if the points were translated 2 units to the left and 7 units up?

• $A'\left(-7\ ,\ 8\right),\ B'\left(-3\ ,\ 10\right),\ C'\left(-3\ ,\ 8\right)$

• $A'\left(7\ ,\ -6\right),\ B'\left(10\ ,\ -3\right),\ C'\left(-3\ ,\ 8\right)$

• $A'\left(-2\ ,\ 6\right),\ B'\left(1\ ,\ 4\right),\ C'\left(1\ ,\ 6\right)$

• $A'\left(7\ ,\ -2\right),\ B'\left(4\ ,\ 1\right),\ C'\left(6\ ,\ 1\right)$

• $A'\left(2\ ,\ 3\right),\ B'\left(6\ ,\ 5\right),\ C'\left(2\ ,\ 5\right)$

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

2. Which best describes the transformation from

Figure A to Figure B?

• translation 1 unit right and 1 unit down

• translation 8 units right and 6 units

  down

• translation 8 units right and 3 units

  down

• translation 6 units right and 8 units

  down

• None of these

Tags

CCSS.HSG.CO.A.2

3. Triangle JKL is translated 4 units left and 5 units up. What are the coordinates of the image of point J?

• $\left(2\ ,\ 6\right)$

• $\left(3\ ,\ -3\right)$

• $\left(-6\ ,\ 6\right)$

• $\left(-2\ ,\ 6\right)$

• $\left(-2\ ,\ -1\right)$

Tags

CCSS.HSG.CO.A.2

4.         What are the coordinates of the reflection of the point 

 $P\left(-2\ ,\ 6\right)$  across the x-axis?

•  $\left(2\ ,\ 6\right)$  

•  $\left(2\ ,\ -6\right)$  

•  $\left(6\ ,\ -2\right)$  

•  $\left(-6\ ,\ 2\right)$  

•  $\left(-2\ ,\ -6\right)$  

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The triangle will be reflected about the x-axis to create triangle A’B’C’. Indicate all of the listed features of the image that will stay the same as the corresponding feature in the original triangle by marking all the appropriate answers.

• The coordinates of C'

• The perimeter of triangle A’B’C’

• The area of triangle A’B’C’

• The measure of angle B’

• The slope of segment A’C’

Tags

CCSS.HSG.CO.A.2

6. Which is a reflection of the above figure across the x-axis?

• 
• 
• 
• 

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

7.         The point of the heart (H) has a coordinate of  $\left(-5\ ,\ -7\right)$  as shown above. The heart is reflected over the y-axis and then reflected over the x-axis. After both reflections, what are the coordinates of the point H? 

•  $\left(-5\ ,\ -7\right)$  

•  $\left(-5\ ,\ 7\right)$  

•  $\left(5\ ,\ -7\right)$  

•  $\left(-7\ ,\ -5\right)$  

•  $\left(5\ ,\ 7\right)$  

Tags

CCSS.8.G.A.3

8. You are given a circle with the center located at the origin and with point P on the positive x-axis. If P is moved counter-clockwise 2/3 of the way around the circle, in which quadrant will it be located?

• I

• II

• III

• IV

• It would not be in a quadrant

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

9. Sacha planned a fabric design by reflecting the triangle shown over the line y = x. What are the coordinates of the image of the point (4 , 6)?

• $\left(-4\ ,\ -6\right)$

• $\left(-4\ ,\ 6\right)$

• $\left(4\ ,\ -6\right)$

• $\left(6\ ,\ 4\right)$

• $\left(-6\ ,\ -4\right)$

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

While looking at the stars one evening, Pat noticed this pattern in the sky. After six hours, she saw the same pattern had rotated 90 degrees counterclockwise. What was the pattern Pat saw?

• 
• 
• 
• 

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5