Similar Circles
Authored by HANNA GRUBB
Mathematics
9th - 12th Grade
CCSS covered
Used 3+ times
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24 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Show that circle C with center (–1, 2) and radius 3 is similar to
circle D with center (3, 4) radius 5.
Translation: right 5 units, up 3 units
Enlargement ratio: 3/5
Translation: right 4 units, up 2 units Enlargement ratio: 3/5
Translation: right 2 units, up 4 units
Enlargement ratio: 5/3
Tags
CCSS.8.G.A.4
CCSS.HSG.SRT.A.2
2.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
What transformations can be used to show circles I and J are similar?
Dilate circle I with scale factor 1/2 and then translate down 4 and left 6.
Translate circle J right 4 and up 6 and then dilate about point (4, 10) with a scale factor 1/2
Translate circle J left 6 and down 4 and then dilate about point (4, 10) with scale factor 2.
Dilate circle I with scale factor 1/2 and then translate left 4 and down 6.
Tags
CCSS.8.G.A.4
CCSS.HSG.SRT.A.2
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Circle B is the pre-image and Circle A is the image.
Which transformations map Circle B onto Circle A?
(x, y)→(x − 4, y + 8); dilation by scale factor of 3/4 at center of circle
(x, y)→(x + 4, y − 8); dilation by scale factor of 4/3 at center of circle
(x, y)→(x − 4, y + 8); dilation by scale factor of 4/3 at center of circle
(x, y)→(x − 4, y + 8); dilation by scale factor of 1/2 at center of circle
Tags
CCSS.8.G.A.4
CCSS.HSG.SRT.A.2
4.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Circle A has center (2, 7) and radius 2. Circle B has center (9, 1) and radius 5. Which transformations can be used to show that the two circles are similar?
Translate circle A right 7 and down 6 and then dilate with scale factor 5/2
Translate circle A left 7, up 6 and then dilate with scale factor 2/5 .
Dilate circle A at scale factor 2/5 then translate right 7 and down 6
Reflect circle A over x = 5.5 and translate up 6 units.
Tags
CCSS.8.G.A.4
CCSS.HSG.SRT.A.2
5.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Circle B is mapped to Circle D using a dilation with center (1, -7) and scale factor 3/5 followed by a translation right 2 and up 6. If the radius of Circle B is 15 units, describe Circle D.
Circle D has a radius of 9 and center (3, -1).
Circle D has a radius of 3 and center (-1, -13).
Circle D has a radius of 25 and center (3, -1).
Circle D has a radius of 12 and center (-1, -13).
Tags
CCSS.HSG.CO.A.2
6.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Circle X is transformed to Circle Y
using a dilation with center (2, 3) and scale factor 4/7 followed by a translation left 3 and down 5.
If the radius of Circle X is 21 units, describe Circle Y.
Circle Y has a radius of 12 and center (-1, -2).
Circle Y has a radius of 6 and center (5, 8).
Circle Y has a radius of 28 and center (-1, -2).
Circle Y has a radius of 16 and center (5, 8).
Tags
CCSS.HSG.CO.A.2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Show that circle C with center (0, 2) and radius 6 is similar to circle D with center (0, –6) radius 2.
Tags
CCSS.7.G.A.1
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