Free Printable 5-8: Mixed Practice

1.

In the figure below, △XYW ⩭ △ZWY. What is the length of WX?

a)

9

b)

7

c)

8

d)

10

2.

In the figure below, D is the midpoint of BC. Using only the given information, what reason can be used to prove that

\Delta ADB\cong\Delta ADC

a)

Angle-Side-Side Postulate

b)

Side-Angle-Side Postulate

c)

Hypotenuse-Leg Theorem

d)

Side-Side-Side Postulate

3.

Two triangles are pictured below. If $\Delta PAB\cong\Delta LOX$ , which statement about the triangles must be true?

a)

$PA\cong LX,\ AB\cong LX,\ PB\cong XL$

b)

$PA\cong LO,\ AB\cong OX,\ PB\cong LX$

c)

$PA\cong OL,\ AB\cong XL,\ PB\cong OL$

d)

$PA\cong XO,\ AB\cong XO,\ PB\cong XO$

4.

△JKL is congruent to △MNP only if m<PNM is equal to what value?

a)

30

b)

90

c)

180

d)

60

5.

Triangles RED and BLU are similar. The length of the sides of triangle RED are 130, 118, and 104. The length of the longest side of triangle BLUE is 195. What is the length of the smallest side of triangle BLU?

a)

156

b)

169

c)

177

d)

244

6.

In △LTU, the length of IP is half the length of LU. Given the information above, which statement can be proved to be true?

a)

$△LTU\ \ is\ \ congruent\ \ to\ \ △TIP$

b)

$TI=LI\ \ and\ \ TP=PU$

c)

$△LTU\ \ is\ \ isosceles$

d)

$IP\ \ is\ \ perpendicular\ \ to\ \ UP$

7.

In the figure below, determine the perimeter of △ABC.

a)

4

b)

17

c)

45

d)

30

8.

Right triangle ABC is shown below. Based on the triangle, which proportion is true?

a)

$\frac{PR}{PT}=\frac{TR}{OR}$

b)

$\frac{PT}{PR}=\frac{TO}{TR}$

c)

$\frac{RT}{PR}=\frac{RO}{TR}$

d)

$\frac{PT}{TR}=\frac{OT}{RT}$

9.

Damian’s rectangular picture frame is 7 inches wide and 10 inches long. Which picture frame is similar but NOT congruent to Damian’s picture frame?

a)

b)

c)

d)

10.

In the diagram below, CE II BD, and the dimensions are in meters. What is the length of AE?

a)

29.3

b)

51.3

c)

28

d)

41.6

11.

The figure below shows △PRT and its dilation image △OKC. What is the value of X and Y?

a)

X = 7, Y = 213

b)

X = 10, Y = 142

c)

X = 7, Y = 71

d)

X = 27, Y = 71

12.

In the diagram below, F II G and <1= <2

a)

$m<1\ +m<3\ =\ 180$

b)

$m<1=m<3$

c)

$m<1+m<2=180$

d)

$m<2=m<3$

13.

Stan drew two triangles △CQT and △DPG so that the following statements are true:

QT\cong PG

DP\cong CQ

<Q\cong<P

a)

SSS

b)

ASA

c)

SSA

d)

SAS

14.

In this diagram, △MQP~△RTV. What is the value of y?

a)

Y = 3

b)

Y = 3.75

c)

Y = 12

d)

Y = 7

15.

What kind of Angles are these and what is the measure of <1?

a)

<1 = 112, Vertical Angles

b)

<1 = 78, Same Side Interior Angles

c)

<1 = 112, Alternate Interior Angles

d)

<1 = 78, Alternate Interior Angles

16.

The following triangles are similar to each other. Determine the scale factor and solve for x.

a)

X = 3, SF = 1/3

b)

X = 5, SF = 6

c)

X = 4, SF = 3

d)

X = 5, SF = 1/2

17.

IS ABC ~ DEF? If YES, write the Scale Factor. If NO, show why.

a)

Yes, SF = 3

b)

Yes, SF = 2

c)

No, 36/12 is not the same as 45/15

d)

No, 36-12 is not the same as 42-14

18.

$\Delta ABE\cong\Delta BDC$ , what is the length of AB?

a)

3

b)

13

c)

12.2

d)

18

19.

$\Delta ABD\cong\Delta ABC$ , what is the perimeter of ADC?

a)

10

b)

21

c)

46

d)

70

20.

Which of the following statements are true about SIMILAR shapes?

a)

Sides are Congruent, Angles are Congruent

b)

Sides are Proportional, Angles are Proportional

c)

Sides are Proportional, Angles are Congruent

d)

Sides are Congruent, Angles are Proportional

5-8: Mixed Practice

Total questions: 20

Worksheet time: 5hrs 0mins

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