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Open Up - Grade 8 - Mathematics - Unit 1 - Lesson 9

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Last updated almost 3 years ago
7 questions
1
7.G.5
8.G.1.a
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7.G.5
8.G.1.a
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7.G.5
8.G.1.a
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7.G.5
8.G.1.a
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7.G.5
8.G.1.a
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7.G.5
8.G.1.a
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7.G.5
8.G.1.a
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Question 1
1.

Do the following steps.
Draw parallel lines AB and CD.(show your work)
Pick any point E. Rotate AB 90 degrees clockwise around E.(show your work)
Rotate CD 90 degrees clockwise around E.(show your work)
What do you notice?(short answer)

Question 2
2.

Question 3
3.

Question 4
4.

In the picture triangle A1B1C1 is an image of triangle ABC after a rotation. The center of rotation is D.
What is the length of side B1C1?

Question 5
5.

In the picture triangle A1B1C1 is an image of triangle ABC after a rotation. The center of rotation is D.
What is the measure of angle B?

Question 6
6.

In the picture triangle A1B1C1 is an image of triangle ABC after a rotation. The center of rotation is D.
What is the measure of angle C?

Question 7
7.

"Source: Open Up Resouces (Download for free at openupresources.org.)"
Use the diagram to find the measures of each angle.
(Match one answer per angle)
50
130
90
60
140
180
Angle ABC
Angle EBD
Angle ABE
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.(Show your work)

Is there more than one point R that works for part a?(Multiple Choice)
Yes, there are infinitely many of point R.
Yes, There is more than one point R.
No, There is only one point R.
The point (-4,1) is rotated 180 degrees counterclockwise using center (0,0).

What are the coordinates of the image?
(4,-1)
(-1,4)
(-1,-4)
(4,1)