Free Printable Geo - Unit 6 Review, Part 2

1.

Which expression can be used to represent the length of DF to prove that the two triangles are similar?

a)

2x + 3

b)

6x + 3

c)

6x + 6

d)

6x + 9

2.

Select two relationships that would prove

\Delta ABC\sim\Delta HIJ

by the SIDE-ANGLE-SIDE Similarity Theorem.

a)

$\frac{AB}{HI}=\frac{BC}{HJ}$

b)

$\frac{BC}{IJ}=\frac{AC}{HJ}$

c)

$\frac{AB}{HI}=\frac{AC}{HJ}$

d)

$\angle A\cong\angle H$

e)

$\angle B\cong\angle H$

3.

Two triangles are shown below. Which statement is sufficient to prove that

\Delta ACB\sim\Delta RTS

?

a)

$\frac{AC}{RT}=\frac{AB}{RS}$

b)

$\angle A\cong\angle R,\ \angle B\cong\angle T$

c)

$\frac{BA}{SR}=\frac{BC}{ST}=\frac{CA}{TR}$

d)

$\frac{AC}{RT}=\frac{1}{6},\ \frac{AB}{RS}=\frac{1}{6}$

4.

Which condition proves that

\Delta ARC\sim\Delta ALT

?

a)

$\angle ARC\cong\angle ATL$

b)

$\angle RAC\cong\angle LAT$

c)

$\frac{AR}{AL}=\frac{AC}{AT}$

d)

$\frac{AR}{AL}=\frac{RC}{LT}$

5.

Given: points A (-4, 2), B(4, 2), C (0, 4), D (-3, -1) and E (-3, -5). What coordinates for F would prove that

\Delta ABC\sim\Delta DEF?

a)

(-2, -3)

b)

(-3, -2)

c)

(-1, -3)

d)

(-5, -3)

6.

Are these triangles similar? If so, by what theorem?

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

7.

Two squares are similar. Given: Square HIJK has a perimeter of 30 units and Square UVWT has a perimeter of 18 units. What is the ratio of the areas of Square HIJK to Square UVWT?

a)

5: 3

b)

3 : 5

c)

25 : 9

d)

9 : 25

8.

One rectangular prism has an edge length of 10 inches. Another rectangular prism has an edge length of 14 inches. What is the ratio of the volume of the larger prism to the volume of the smaller prism?

a)

343 : 125

b)

14 : 10

c)

49 : 25

d)

7 : 5

9.

$\angle KJH\cong\angle GFH$
True or False?

a)

True, They are vertical angles

b)

True, They are alternate interior angles

c)

False, They are not congruent

d)

True, they are consecutive angles

10.

The two rectangles below are similar. What is the ratio of the perimeters of rectangle ABCD to rectangle EFGH?

a)

8 : 1

b)

1 : 4

c)

2 : 1

d)

1 : 2

Geo - Unit 6 Review, Part 2

Total questions: 10

Worksheet time: 50mins

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