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Open Up - Grade 8 - Mathematics - Unit 1 - Lesson 9
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Last updated about 1 year ago
7 questions
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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)
visibility
View drawing
Question 2
2.
Question 3
3.
Question 4
4.
In the picture triangle
A
1
B
1
C
1
is an image of triangle
ABC
after a rotation. The center of rotation is
D
.
What is the length of side
B
1
C
1
?
Question 5
5.
In the picture triangle
A
1
B
1
C
1
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
A
1
B
1
C
1
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)
90
180
50
130
140
60
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)