
Exploring Similarity Theorems in Geometry

Interactive Video
•
Mathematics
•
6th - 10th Grade
•
Hard
Standards-aligned

Olivia Brooks
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the AA similarity theorem state?
Two triangles are similar if they have two pairs of proportional sides.
Two triangles are similar if they have one pair of congruent angles.
Two triangles are similar if they have two pairs of congruent angles.
Two triangles are similar if they have three pairs of congruent sides.
Tags
CCSS.HSG.SRT.A.2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is an example of similar triangles according to the AA similarity theorem?
Two triangles with angles 45°, 45°, 90° and 30°, 60°, 90°.
Two equilateral triangles with angles 60°, 60°, 60°.
Two triangles with sides 3, 4, 5 and 6, 8, 10.
Two triangles with sides 5, 12, 13 and 10, 24, 26.
Tags
CCSS.HSG.SRT.A.2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is required to prove two triangles are similar using the SSS similarity theorem?
Two pairs of proportional sides and one pair of congruent angles.
Three pairs of proportional sides.
One pair of congruent sides and one pair of congruent angles.
Two pairs of congruent angles.
Tags
CCSS.HSG.SRT.B.5
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the SAS similarity theorem, what must be true about the included angle?
It must be complementary.
It must be supplementary.
It must be proportional.
It must be congruent.
Tags
CCSS.HSG.SRT.B.5
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If two triangles have sides in the ratio 3:4:5 and 6:8:10, are they similar?
Yes, by the SSS similarity theorem.
No, they are not similar.
Yes, by the AA similarity theorem.
Yes, by the SAS similarity theorem.
Tags
CCSS.HSG.SRT.B.5
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you solve for an unknown side in similar triangles?
By setting up a proportion between corresponding sides.
By using the Pythagorean theorem.
By using the area formula.
By using the perimeter formula.
Tags
CCSS.HSG.SRT.A.2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of x if the sides of two similar triangles are in the ratio 3:5 and the corresponding sides are 3 and x?
7.5
6
10
5
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