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Similar Triangles

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Last updated over 2 years ago
7 questions
3
3
3
1
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1
Question 1
1.

Elena gives the following sequence of transformations to show that the two figures are similar by transforming ABCD into EFGH.


1. Dilate using center and scale factor 2.
2. Reflect using the line.

Is Elena’s method correct? If not, explain how you could fix it.

Question 2
2.

Explain how you know the two figures are similar.

Question 3
3.

Question 4
4.

Question 5
5.

What is the scale factor from triangle FHG to triangle JLK in #4. Refer to the same image above.

Question 6
6.

Question 7
7.

Looking at the similar triangles above, which pair of sides represents corresponding sides?
A FG and JK
B FG and KL
C FH and GH
D FH and KL
A triangle has side lengths of 4 ft, 6 ft, and 8 ft.  A second triangle has side lengths of 8 ft, 10 ft, and 12 ft. Are the two triangles similar, and why or why not?
Yes, since the two triangles each have a side that is 8 ft.
No, since the corresponding sides are not all the same length.
No, since the ratio of corresponding sides is not the same for all pairs of sides.
Yes, since the second triangle has sides that are each 4 ft longer than the first triangle.
A wire that runs to the top of a tower is attached to the ground 120 ft. from the tower show above. How tall is the tower?
A 72 ft
B 77 ft
C 200 ft
D 205 ft