Free Printable Geometry Similarity Review

1.

Triangle ABC can be taken to Triangle A'B'C' using rigid motions and a dilation. Select the true equation:

a)

$\frac{AB}{A'B'}=\frac{C'A'}{CA}$

b)

$\frac{B'C'}{A'C'}=\frac{AC}{BC}$

c)

$\frac{AB}{CB}=\frac{A'B'}{C'B'}$

d)

$\frac{BC}{A'C'}=\frac{AC}{B'C'}$

2.

Triangle ABC is similar to Triangle EFD. What scale factor is required to dilate triangle ABC so that its image, A'B'C' is congruent to triangle EFD?

a)

2/5

b)

1/2

c)

2

d)

3

3.

Is Line BC parallel to Line DE?

a)

Yes, because the sides are proportional

b)

No, because the sides are not proportional

4.

Is Line BC parallel to Line DE?

a)

Yes, because the sides are proportional creating similar triangles

b)

No, because the sides are not proportional therefore the triangles are not similar

5.

Triangle DEF is formed by connecting the midpoints of the sides of Triangle ABC. The lengths of DEF are shown. What are 2 things you know for sure about side BC?

a)

BD is perpendicular to DE

b)

BC is parallel to DF

c)

BA is 8 units

d)

BC is 8 units

6.

Given AC = 6, what sequence of transformations takes triangle AED to Triangle ABC?

a)

Dilate Triangle ADE using Center A and scale factor 1/2, then reflect over Line AD

b)

Dilate Triangle ADE using Center A and scale factor 2, then reflect over Line AC

c)

Rotate Triangle ADE clockwise around center A, then dilate by scale factor 3/2

d)

Reflect Triangle ADE over Line AD, then dilate using center E by scale factor 3/2

7.

Dilate Triangle ABC using Center P and scale factor $\frac{5}{2}$ . What do the properties of dilations tell you about Angle B'?

a)

$\angle B\ \cong\ \angle B'$

b)

$\angle B\ =\ 45\degree$

c)

$\angle B\ \cong\ \angle C$

d)

$m\angle B\ =m\angle A$

8.

Find the length of DF, or state what additional information is needed to determine this length.

a)

To determine DF, we need the perimeter of both triangles

b)

To determine DF, we need the length of DE

c)

DF = 7

d)

DF = 5

9.

Given a rectangle with right triangles inside, which triangle are similar to triangle AED? Select ALL that apply.

a)

$\Delta AED\ \sim\ \Delta EBA$

b)

$\Delta\ AED\ \sim\Delta\ DEF$

c)

$\Delta\ AED\ \sim\Delta\ DCE$

d)

$\Delta\ AED\ \sim\Delta\ AFE$

10.

The length of Segment EF is 4 units and the length of Segment ED is 5 units. find the length of segments FA.

a)

4

b)

3

c)

16/3

d)

25/4

11.

The length of Segment EF is 4 units and the length of Segment ED is 5 units. Find the length of Segment AE.

a)

20/3

b)

16/3

c)

5/3

d)

3

Geometry Similarity Review

Total questions: 11

Worksheet time: 23mins

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