Free Printable Extra Credit Quarter 1

1.

Simplify:

\sqrt{28}\cdot\sqrt{3}

a)

$\sqrt{84}$

b)

$2\sqrt{21}$

c)

$4\sqrt{21}$

d)

$2\sqrt{7}\cdot\sqrt{3}$

2.

Simplify:

\sqrt{45x^4y^7}

a)

$3x^2y^3\sqrt{5}$

b)

$9x^2y^3\sqrt{5}$

c)

$3x^2y^3\sqrt{5y}$

d)

$3x^2y^7$

3.

Rationalize the denominator:
$\frac{2\sqrt{8}}{\sqrt{12}}$

a)

$\frac{\sqrt{96}}{6}$

b)

$\frac{2\sqrt{6}}{3}$

c)

$\frac{2\sqrt{96}}{12}$

d)

$\frac{4\sqrt{2}}{2\sqrt{3}}$

4.

Multiply:
$\left(4+\sqrt{2}\right)\left(4-\sqrt{2}\right)$

a)

$16-\sqrt{2}$

b)

$4-\sqrt{2}$

c)

$14$

d)

$18$

5.

What is the midpoint between (3, -1) and (7, -5)

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

6.

A segment has an endpoint of (-4, 5) and midpoint of (7, -9). Find the other endpoint.

a)

(18, -23)

b)

(-23, 18)

c)

(11,4)

d)

(1.5, -2)

7.

If $\overrightarrow{KM}$ bisects $\angle LKJ$ and $m\angle JKM=22\degree$ find $m\angle LKM$ .

a)

22

b)

44

c)

11

d)

68

e)

not enough information given

8.

$\overrightarrow{AB}$ bisects $\angle CAD$ .

Solve for x.

a)

7

b)

13.4

c)

12.3

d)

5.9

9.

B is the midpoint of AC. Find AB.

a)

2

b)

16

c)

8

d)

4

10.

$\overrightarrow{EJ}\$ bisects $\angle DEF$ , $m\angle DEJ=5x+7$ , $m\angle JEF=8x-8$ .
Find x.

a)

5

b)

2

c)

6

d)

13

11.

If m∠1 = 30°, then m∠3 =

a)

30°

b)

60°

c)

150°

d)

Cannot be determined

12.

If the $m\angle7\ =\ 115\degree,$ find the measure of $\angle2.$

a)

$115\degree$

b)

$65\degree$

c)

$180\degree$

d)

Cannot be determined

13.

If the $m\angle5\ =\ 63\degree,$ find the measure of $\angle3.$

a)

$63\degree$

b)

$117\degree$

c)

$180\degree$

d)

Cannot be determined

14.

Find the value of x if the $m\angle1\ =\ 11x\ -\ 9\degree$ and the $m\angle5\ =\ 7x\ +9\degree$ .

a)

-4.5

b)

4.5

c)

1

d)

0

15.

$m\angle JHG=52$

a)

m∠GHK=26, m∠KHJ=26

b)

m∠GHK=26, m∠KHJ=52

c)

m∠GHK=52, m∠KHJ=52

d)

m∠GHK=52, m∠KHJ=26

16.

a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

17.

Use the figure to write and solve an equation for x.

a)

5

b)

6

c)

7

d)

8

18.

The figure is an example of a(n) ...

a)

angle bisector

b)

midsegment

c)

altitude

d)

median

19.

The figure is an example of a(n) ...

a)

altitude

b)

perpendicular bisector

c)

midsegment

d)

angle bisector

20.

Which line is perpendicular to the x-axis?

a)

$y=6$

b)

$x=-5$

c)

$y=x$

d)

$y=2x$

21.

What is the length of DC

a)

4

b)

1

c)

2

d)

3

22.

What is the length of AB?

a)

0

b)

8

c)

9

d)

7

23.

What is the length of the segment?

a)

6.3

b)

6.5

c)

6.7

d)

16

24.

Find the measure of angle A.

a)

75^o

b)

60^o

c)

30^o

d)

38^o

25.

a)

A

b)

B

c)

C

d)

D

26.

Find the value of x.

a)

A

b)

B

c)

C

d)

D

27.

Find the value of y.

a)

y=2

b)

y=18

c)

y=8.22

d)

y=9.33

28.

Find the value of the base angle.

a)

30

b)

120

c)

60

d)

180

29.

Find the value of x

a)

41

b)

45

c)

31

d)

98

30.

Which of the following are NOT sufficient to prove two triangles are congruent? Choose all that apply.

a)

SSS

b)

AAA

c)

ASA

d)

SSA

e)

AAS

31.

Are the following triangles congruent? If so, how do you know?

a)

Yes, HL

b)

Yes, SAS

c)

Yes, ASA

d)

Yes, AAS

e)

No, insufficient information given

32.

Are the following triangles congruent? If so, how do you know?

a)

Yes, SSS

b)

Yes, SAS

c)

Yes, ASA

d)

Yes, AAS

e)

No, not enough information given

33.

Are the following triangles congruent? If so, how do you know?

a)

Yes, SSS

b)

Yes, SAS

c)

Yes, ASA

d)

Yes, AAS

e)

No, not enough information provided

34.

Are the following triangles congruent? If so, how do you know?

a)

Yes, SSS

b)

Yes, SAS

c)

Yes, SSA

d)

Yes, HL

e)

No, SSA does not prove that triangles are congruent

35.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

AAS

b)

ASA

c)

SSA

d)

AAA

36.

What is a possible third side to a triangle with side lengths of 5 and 5?

a)

9

b)

10

c)

11

d)

12

37.

A triangle has two sides measuring 2 and 6. Which of the following could NOT be the length of the third side?

a)

6

b)

7

c)

5

d)

4

38.

1st, solve for x. Then plug x in to find what the 3 angle measures are. Which of the following is NOT one of those angle measures?

a)

95

b)

40

c)

85

d)

45

39.

Name the smallest angle in this triangle.

a)

∠A

b)

∠B

c)

∠C

40.

Two sides of a triangle have side lengths of 17 meters and 12 meters. What is the range of possible lengths for the third side?

a)

12 < x < 17

b)

12 < x < 29

c)

5 < x < 17

d)

5 < x < 29

41.

A charter plane travels from Barrow, Alaska, to Fairbanks. From Fairbanks, it flies to Nome,

and then back to its starting point in Barrow.

Which of the three legs of the trip is

the longest?

a)

Fairbanks to Nome

b)

Nome to Barrow

c)

Barrow to Fairbanks

d)

Anchorage to Fairbanks

42.

Which of the following does not represent the lengths of the sides of a triangle?

a)

2 cm, 6 cm, 7 cm

b)

5 cm, 2 cm, 5 cm

c)

5 cm, 5 cm, 8 cm

d)

3 cm, 10 cm, 15 cm

43.

Find the measure of angle A.

a)

30 degrees

b)

160 degrees

c)

140 degrees

d)

32 degrees

44.

Find the measure of the indicated angle.

a)

35 degrees

b)

40 degrees

c)

25 degrees

d)

30 degrees

45.

Which of the following angles can you add together to equal angle d?

a)

Angle a and Angle b

b)

Angle b and Angle c

c)

Angle a and Angle c

d)

Angle a and Angle b and Angle c

46.

What is the length of x in this triangle?

a)

$4\sqrt{2}$

b)

$4$

c)

$8$

d)

$4\sqrt{3}$

47.

What is the length of y in this triangle?

a)

$8\sqrt{2}$

b)

$4\sqrt{2}$

c)

$4$

d)

$8$

48.

A square has side length 95. What is the length of the diagonal of the square? Express your answer in simplest radical form.

a)

$134.4$

b)

$95\sqrt{3}$

c)

$95\sqrt{2}$

d)

$95$

49.

A square has diagonal length 13 m. What is the side length of the square, to the nearest centimeter?

a)

9.19

b)

18.38

c)

5.10

d)

13

50.

Find the value of y.

a)

$8$

b)

$4$

c)

$2\sqrt{3}$

d)

$8\sqrt{3}$

51.

Find the value of y.

a)

$7$

b)

$7\sqrt{3}$

c)

$14\sqrt{3}$

d)

$7\sqrt{2}$

52.

$3\sqrt{20}+4\sqrt{5}$

a)

$10\sqrt{5}$

b)

$16\sqrt{5}$

c)

$7\sqrt{25}$

d)

$12\sqrt{125}$

53.

$10\sqrt{45}-\sqrt{20}$

a)

$32\sqrt{5}$

b)

$88\sqrt{5}$

c)

$28\sqrt{5}$

d)

$9\sqrt{25}$

54.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

55.

Write the equation of the line through the points (-6, -19) and (2, 5).

a)

y = -7/2x + 12

b)

y = 3x + 11

c)

y = -7/2x - 40

d)

y = 3x - 1

56.

What is the equation of this line?

a)

x=5

b)

y=5

c)

y=5x

d)

x=-5

57.

What is the equation of this line?

a)

x=-2

b)

y=-2x

c)

x=2

d)

y=-2

58.

Write the equation of the line

in Point-Slope form that goes through

the point (10,5) and has a slope of -3

a)

y - 5 = -3(x - 10)

b)

y= -3x + 35

c)

y + 5= -3(x + 10)

d)

y= -3x - 35

59.

Find the slope of a line parallel to the line below.
y = 2x + 4

a)

2

b)

-1/2

c)

1/2

d)

-2

60.

Find the slope of a line perpendicular to the line below.
y = 2x + 4

a)

2

b)

-1/2

c)

1/2

d)

-2

Extra Credit Quarter 1

Total questions: 60

Worksheet time: 2hrs 0mins

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