Similarity Problems
Authored by Barbara White
Mathematics
10th Grade
CCSS covered
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9 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which statement provides a valid justification for why all circles are similar?
All circles have the same shape - a circle - so they must be similar
All circles have no angles and no sides, so they must be similar
I can translate any circle exactly onto another, so they must be similar
I can translate the center of any circle to the center of another, and then dilate from that center by an appropriate scale factor, so they must be similar
Tags
CCSS.HSG.SRT.A.2
CCSS.8.G.A.4
2.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Similar or not?
Similar
Not similar
Answer explanation
These triangles are not similar because the sides are not equally scaled
Tags
CCSS.HSG.SRT.A.2
3.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Similar or not?
Similar
Not similar
Answer explanation
While these shapes have the same sides, the angles are not same
Tags
CCSS.8.G.A.2
CCSS.HSG.CO.B.6
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Similar or not?
Similar
Not similar
Answer explanation
These figures are similar because the sides have all been scaled equally and the angles didn't change from one figure to the other
Tags
CCSS.8.G.A.2
CCSS.HSG.CO.B.6
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Similar or not?
Similar
Not similar
Answer explanation
The sides were not scaled equally
Tags
CCSS.8.G.A.2
CCSS.HSG.CO.B.6
6.
MULTIPLE SELECT QUESTION
2 mins • 1 pt
Dilate triangle ABC using center A by a scale factor of 1/2, then reflect over line AC
Dilate triangle AED using center A by scale factor if 2, then reflect over line AC
Reflect triangle ABC over line AC, then dilate using center A by a scale factor of 1/2
Reflect triangle AED over line AC, then dilate using center A by a scale factor of 2
Translate triangle AED by directed line segment DC, then dilate using center C by scale factor 2
Tags
CCSS.HSG.SRT.A.2
CCSS.8.G.A.4
7.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
True or false?
Two equilateral triangles are similar
True
False
Answer explanation
Must be true. Dilate the first triangle using any center by a scale factor that is the ratio of the length of sides of the second triangle to the length of the sides of the first. Then apply the Angle-Side-Angle Triangle Congruence Theorem
Tags
CCSS.8.G.A.2
CCSS.HSG.CO.B.6
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