Carnegie Dilations and Scale Factors
Authored by Anthony Clark
Mathematics
8th Grade
CCSS covered
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15 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.
B' (2 , 4.5)
B' (-8 ,-18)
B' (8 ,18)
B' (9 ,4)
Tags
CCSS.8.G.A.3
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A'(9,9) B'(18,18) C'(27,9)
A'(6,6) B'(9,9) C'(12,6)
A'(0,0) B'(3,3) C'(6,0)
A'(1,1) B'(2,2) C'(3,1)
Tags
CCSS.8.G.A.3
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Is this an enlargement or reduction? (blue = original image)
reduction
enlargement
Tags
CCSS.8.G.A.3
4.
OPEN ENDED QUESTION
1 min • Ungraded
The two polygons are similar.
Find the value of x
Find the scale factor
Find the ratio of the perimeter.
Value of x: ____, Scale factor: ____, Ratio of perimeter: ____
Evaluate responses using AI:
OFF
Tags
CCSS.HSG.SRT.A.2
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
How do you write the algebraic notation when the scale factor is 1/2?
(x, y) −> (2x, 2y)
(x, y) −> (1/2x, 1/2y)
(x, y) −> (-2x, -2y)
(x, y) −> (2x, 1/2y)
Tags
CCSS.8.G.A.3
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the scale factor of the dilation. Then tell whether the dilation is a reduction or an enlargement.
2 / 5; reduction
5 / 2; enlargement
2 / 3; reduction
3 / 2; enlargement
Tags
CCSS.8.G.A.3
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Describe the similarity transformation that maps to (dilations have a center at the origin).
a dilation with a scale factor of 2 followed by a translation 4 units right and 3 units down.
a dilation with a scale factor of 1 / 2 followed by a translation 4 units left and 3 units up.
Translation 4 units right and 3 units down followed by a dilation with a scale factor 2.
Translation 4 units left and 3 units up followed by a dilation with a scale factor 1 / 2.
Tags
CCSS.HSG.SRT.A.2
CCSS.8.G.A.4
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