Quiz about Grade 8 | Unit 1 | Lesson 9: Moves in Parallel | Practice Problems

Question 1

Draw parallel lines $$AB$$ and $$CD$$ . Pick any point $$E$$ . Rotate $$AB$$ 90 degrees clockwise around $$E$$ . Rotate line $$CD$$ 90 degrees clockwise around $$E$$ . What do you notice?

Accepted Answer

The new line should be perpendicular to $$AB$$ .

Accepted Answer

The new line should be perpendicular to $$CD$$ and parallel to $$A$$ .

Accepted Answer

The two new rotated lines are parallel.

Question 2

Use the diagram to find the measures of each angle. Explain your reasoning. What is $$m\angle ABC$$ ?

Accepted Answer

130 degrees

Answer

Cannot be determined

Answer

150 degrees

Answer

90 degrees

Question 3

Use the diagram to find the measures of each angle. Explain your reasoning. What is $$m\angle EBD$$ ?

Accepted Answer

130 degrees

Answer

Cannot be determined

Answer

150 degrees

Answer

90 degrees

Question 4

Use the diagram to find the measures of each angle. Explain your reasoning. What is $$m\angle ABE$$ ?

Accepted Answer

50 degrees

Answer

Cannot be determined

Answer

130 degrees

Answer

70 degrees

Question 5

Points $$P$$ and $$Q$$ are plotted on a line. Find a point $$R$$ so that a 180-degree rotation with center $$R$$ sends $$P$$ to $$Q$$ and $$Q$$ to $$P$$ .

Accepted Answer

$$R$$ is the midpoint of $$PQ$$

Answer

No point $$R$$ exists

Answer

Infinite points $$R$$

Answer

$$R$$ is at $$(0,0)$$

Question 6

Points $$P$$ and $$Q$$ are plotted on a line. Is there more than one point $$R$$ that works for part a?

Accepted Answer

No

Answer

Yes

Question 7

In the picture triangle $$A$$ is an image of triangle $$ABC$$ after a rotation. The center of rotation is $$D$$ . What is the length of side $$B$$ ? Explain how you know.

Accepted Answer

4 units

Answer

5 units

Answer

6 units

Answer

Cannot be determined

Question 8

In the picture triangle $$A$$ is an image of triangle $$ABC$$ after a rotation. The center of rotation is $$D$$ . What is the measure of angle $$B$$ ? Explain how you know.

Accepted Answer

52 degrees

Answer

50 degrees

Answer

Cannot be determined

Answer

30 degrees

Question 9

In the picture triangle $$A$$ is an image of triangle $$ABC$$ after a rotation. The center of rotation is $$D$$ . What is the measure of angle $$C$$ ? Explain how you know.

Accepted Answer

50 degrees

Answer

52 degrees

Answer

Cannot be determined

Answer

70 degrees

Question 10

The point $$(-4,1)$$ is rotated 180 degrees counterclockwise using center $$(0,0)$$ . What are the coordinates of the image?

Accepted Answer

$$(4,-1)$$

Answer

$$(-1,-4)$$

Answer

$$(-1,4)$$

Answer

$$(4,1)$$

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