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IM2 Module 16 Test Similar Figures

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Last updated over 5 years ago
20 questions
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Similar figures, similarity postulates (AA, SSS, ASA, SAS), Scale factor
Question 1
1.

Draggable itemarrow_right_altCorresponding Item
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Question 2
2.

All circles are similar.

Question 3
3.

All circles are congruent.

Question 4
4.

All triangles are similar.

Question 5
5.

All triangles are congruent.

Question 6
6.

Similar figures have corresponding angles that are congruent.

Question 7
7.

Similar figures have corresponding sides that are congruent.

Question 8
8.

In similar figures, the ratios of corresponding sides are equal.

Question 9
9.

In similar figures, the corresponding sides are equal.

Question 10
10.

In the figure above, which series of transformations can be performed to map triangle MNO to triangle M'N'O'? Select ALL that apply.

Question 11
11.

Use the image above and the rules of geometry to find how tall is the tree. Type your answer as "x= " with the correct value.

Question 12
12.

Use the figure above to answer the question.
Is triangle EFG similar to triangle LMN?

Question 13
13.

Use the figure above to answer the question.
Is triangle ABC similar to triangle DFE ?

Question 14
14.

Use the image above to answer the question. Are the two triangles similar? Yes or No. If they are, state which postulate justifies their similarity.

Question 15
15.

In the figure above, the two rectangles are similar. Which below is the correct way to set up the proportion? Select all that apply.

Question 16
16.

Given the two triangles above are similar, find the value of x. Type your answer as "x=" with the correct value rounded to one decimal place.

Question 17
17.

Given that the two triangles above are similar, find the value of x. Type your answer as "x=" and round to one decimal point.

Question 18
18.

Given that the two triangles above are similar, find the value of y. Type your answer as "y=" and round to one decimal point.

Question 19
19.

Given that the two triangles above are similar, find the value of x. Type your answer as "x=" and round to one decimal point.

Question 20
20.

Use the white board tools to perform and draw the dilation of triangle JKL with a scale factor of 2.

Match the term with the correct description by clicking and dragging.
AA Similarity Postulate
the value we mulitply to dilate a figure
~
when the scale factor is between 0 and 1
corresponding parts
when the scale factor is greater than 1
enlargement
same shape, but different size
same shape and same size
congruent
when the scale factor is equal to 1
SAS Similarity Postulate
having the same position
scale factor
If two corresponding angles of one triangle are equal to two corresponding angles of another triangle, then the two triangles are similar.
SSS Similarity Postulate
If three corresponding sides of one triangle are proportional to three sides of another triangle, then the two triangles are similar.
reduction
If two corresponding sides are proportional and one included angle is congruent, then the triangles are similar.
isometric
congruent
similar
similar
Dilation with scale factor of 1/2
Reflection over the y axis
Reflection over the x axis
Dilation with scale factor of 2