Free Printable 6-9-21 Geometry EXTRA CREDIT mini-course review

1.

What is the hypothesis of the given Conditional Statement:

If Jimmy goes on vacation, then he will go to Orlando.

a)

Jimmy goes on vacation

b)

Jimmy will go to Orlando

c)

Jimmy doesn't go on vacation

d)

Who is Jimmy?

2.

For the inverse we _________ the hypothesis and conclusion of the original conditional statement.

a)

switch

b)

negate

c)

switch and negate

d)

rewrite with IFF

3.

What is the final conclusion for the series of statements?

If I have soup at lunch, then I'll order pizza for dinner.

If I go to the store, then I’ll buy milk.

If I eat cereal for breakfast, then I will have soup at lunch

If I buy milk, then I’ll eat cereal for breakfast.

a)

If I buy milk, then I will have soup for lunch.

b)

If I buy milk, then I will order pizza for dinner.

c)

If I go to the store, then I will order pizza for dinner.

d)

If I eat cereal for breakfast, then I will buy milk.

4.

Given, "If I have a Siberian Husky, then I have a dog." Identify the conclusion.

a)

If I have a Siberian Husky.

b)

Then I have a dog.

c)

I have a Siberian Husky.

d)

I have a dog.

5.

Which of the following represents supplementary angles?

a)

b)

c)

d)

6.

Which of the following represents an "obtuse" angle?

a)

b)

c)

d)

7.

Which of the following is not the correct way to represent the given figure?

a)

$\angle3$

b)

$\angle BAT$

c)

$\angle ABT$

d)

$\angle A$

8.

Which of the following is the correct way to name the figure?

a)

b)

c)

d)

9.

Rationalize the denominator:

\frac{3}{\sqrt{5}}

a)

$\frac{\sqrt{2}}{5}$

b)

$\frac{5\sqrt{3}}{3}$

c)

$\frac{3\sqrt{5}}{3}$

d)

$\frac{3\sqrt{5}}{5}$

10.

Find the lengths of the missing sides.

a)

$a=3\sqrt{3},\ b=3$

b)

$a=6\sqrt{3},\ b=12$

c)

$a=12\sqrt{3},\ b=12$

d)

$a=6\sqrt{3},\ b=3$

11.

Find the lengths of the missing sides.

a)

$e=9\sqrt{3},\ f=9\sqrt{3}$

b)

$e=9\sqrt{2},\ f=9\sqrt{2}$

c)

$e=9\sqrt{2},\ f=9$

d)

$e=9,\ f=9\sqrt{2}$

12.

If using Angle C.

Which triangle is labeled correctly?

a)

b)

c)

d)

13.

Which is the correct ratio for

\sin\ \beta

a)

A

b)

B

c)

C

d)

D

14.

What ratio is the "Cosine" of an angle?

a)

\frac{opposite}{adjacent}

b)

$\frac{adjacent}{hypotenuse}$

c)

$\frac{opposite}{hypotenuse}$

d)

$\frac{adjacent}{opposite}$

15.

What is the slope of the line parallel to:

y = ⁷/₉x + 5

a)

⁷/₉

b)

^-7/₉

c)

^-9/₇

d)

⁹/₇

16.

What is the slope of the line perpendicular to:

y = ⁷/₉x + 5

a)

⁷/₉

b)

^-7/₉

c)

^-9/₇

d)

⁹/₇

17.

What is the radius of the circle?

a)

3

b)

9

c)

$\sqrt{3}$

d)

1

18.

The center of the is circle (2, 5) and the radius is 9. What is the equation of the circle.

a)

(x-2)² + (y-5)² = 3

b)

(x+2)² + (y+5)² = 9

c)

(x-2)² + (y-5)² = 81

d)

(x+2)² - (y+5)² = 81

19.

Find the area of the figure. Round to tenths. Mark both correct "numeric answer" and "units".

a)

104.4

b)

261

c)

522

d)

units

e)

units²

20.

Find the circumference of the figure. Use π=3.14 and round to tenths. Mark both correct "numeric answer" and "units".

a)

75.4

b)

113

c)

37.7

d)

cm

e)

cm²

21.

Which set up is the correct set up to solve this proportions?

a)

b)

c)

d)

None of these are correct

22.

Which set up is the correct set up to determine if the polygons are similar? (using Ratios with Left triangle over Right Triangle)

a)

b)

c)

d)

None of these are correct

23.

Given that the tringles are similar, solve for x.

a)

21

b)

14

c)

12

d)

18

24.

<ABC measures 34^o. What is the measure of <CBD?

a)

17^o

b)

34^o

c)

68^o

25.

$\overline{XP}\$ bisects <YXZ. Find m<1 if m<YXZ= $42^o$

a)

21

b)

84

c)

42

26.

$Does\ \overrightarrow{BD}\$ bisect <ABC?

a)

Yes

b)

No

c)

Not enough information is given.

27.

Given EF is the midsegment, which equations shows a correct set up to solve for x.

a)

$2x-2=\frac{2x-13}{2}$

b)

$2x-13=\frac{2x-2}{2}$

c)

$2=\frac{2x-13}{2x-2}$

d)

$2x-13=\frac{2}{2x-2}$

28.

How is AB written in the distance formula?

a)

$d\ =\ \sqrt{\left(5-3\right)^2\ +\ \left(0--2\right)^2}$

b)

$d\ =\ \sqrt{\left(2-5\right)^2\ +\ \left(3\ -0\right)^2}$

c)

$d\ =\ \sqrt{\left(5-3\right)^2\ -\ \left(0--2\right)^2}$

d)

$d\ =\ \sqrt{\left(4-3\right)^2\ -\ \left(2-4\right)^2}$

29.

What is the correct set up for the midpoint formula?

a)

\left(\frac{1+5}{2},\ \frac{3+\left(-5\right)}{2}\right)

b)

$\left(\frac{1+3}{2},\ \frac{5+\left(-5\right)}{2}\right)$

c)

$\left(\frac{3+1}{2},\ \frac{-5+1}{2}\right)$

d)

$\left(\frac{1-5}{2},\ \frac{3-\left(-5\right)}{2}\right)$

30.

What has to happen in order to have a "good definition"?

a)

only the conditional has to be true

b)

both the conditional and its converse must to be true

c)

only one, the conditional or its converse must to be true

d)

only the converse has to be true

31.

If AB = 2x+3, BC = 3x-5, and AC = 38, what is the value of x ?

a)

11

b)

12

c)

8

32.

Use the picture to write the correct Segment Addition statement.

a)

AB + BC = AC

b)

BC + BA = BC

c)

BA + AC = BC

d)

AB + BC = AC

33.

What is the slope of the line that passes through the points (14, -8) and (7, -6)?

a)

2/7

b)

-2/7

c)

-7/2

d)

7/2

34.

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

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

35.

To solve the or the missing side, which proportions is not correct?

a)

$\frac{39}{x}=\ \frac{30}{18}$

b)

$\frac{39}{x}=\ \frac{18}{30}$

c)

$\frac{39}{18}=\ \frac{x}{30}$

d)

all are correct

36.

Which graph is for the equation:

(x-1)² + (y-1)² = 4

a)

b)

c)

d)

37.

What is the correct equations for the given circle?

a)

(x + 2)² + y² = 3

b)

x² + (y+2)² = 9

c)

(x + 2)² + y² = 9

d)

x² + (y+2)² = 3

38.

Given the three side lengths, would they form a triangle?

7, 4, 11

a)

yes

b)

no

c)

more information is needed

39.

Given the three side lengths, would they form a triangle?

75, 22, 55

a)

yes

b)

no

c)

more information is needed

40.

Is this a regular polygon?

a)

yes

b)

no

c)

need more information

41.

Based on the markings, which of the figures is not a trapezoid?

a)

b)

c)

d)

42.

Which figure correctly shows the structure of quadrilaterals discussed in this unit?

a)

b)

c)

d)

43.

A kite is ? a quadrilateral.

a)

sometimes

b)

always

c)

never

44.

A trapezoid is ? a parallelogram.

a)

sometimes

b)

always

c)

never

45.

A quadrilateral is ? a rectangle.

a)

sometimes

b)

always

c)

never

46.

In a quadrilateral, the sum of interior angles is 180⁰.

a)

TRUE

b)

FALSE

c)

Need More Information

47.

Which Trig Ratio would you use to find m<H?

a)

sin

b)

cos

c)

tan

48.

Which Trig Ratio would you use to find the value of "p"?

a)

sin

b)

cos

c)

tan

49.

Find the value for "w".

a)

$7\sqrt{3}$

b)

$7$

c)

$14$

d)

$7\sqrt{2}$

50.

Find the value for "t".

a)

$5\sqrt{2}$

b)

$10$

c)

$5\sqrt{3}$

d)

$10\sqrt{3}$

51.

If a square was randomly assigned to you, what it the probability that it would be red?

answer as a simplified fraction.

a)

9/23

b)

1/5

c)

1/4

d)

5/18

52.

What is the probability of throwing a dart at the dart board and having it land on blue?

a)

1/7

b)

1/6

c)

2/7

d)

5/7

53.

Surface Area of Geometric Solids are always what type of units?

a)

units

b)

square units

c)

cubic units

d)

none of these

54.

Volumes of Geometric Solids are always what type of units?

a)

units

b)

square units

c)

cubic units

d)

none of these

55.

Which nets forms a pentagonal prism?

a)

b)

c)

d)

e)

none of these

56.

Which nets forms a pentagonal pyramid?

a)

b)

c)

d)

e)

none of these

57.

What is the name of this Geometric Solid?

a)

circular prism

b)

cylinder

c)

cone

d)

circular pyramid

e)

none of these

58.

What is the name of this Geometric Solid?

a)

triangular Pyramid

b)

rectangular pyramid

c)

Triangular Prism

d)

trapezoidal pyramid

e)

none of these

59.

Which is the correct net for this Geometric Solid?

a)

b)

c)

d)

e)

none of these

60.

Which is the correct net for this Geometric Solid?

a)

b)

c)

d)

e)

none of these

61.

To prove the given quadrilateral is a parallelogram, what pairs of sides need to be parallel?

a)

PS || RS & PQ || QR

b)

PQ || PS & RS || RQ

c)

PQ || RS & PS || QR

d)

none of these

62.

Determine if given equations are lines that are parallel, perpendicular or neither.

a)

Neither

b)

Parallel

c)

Perpendicular

63.

An angle whose vertex is at the center of a circle is called...

a)

major arc

b)

inscribed angle

c)

minor arc

d)

a central angle

e)

semicircle

64.

A part of the circle where the endpoints of the angle touches the circle is called...

a)

major arc

b)

intercepted arc

c)

minor arc

d)

a central angle

e)

semicircle

65.

An arc with a measure less than 180^o is called...

a)

major arc

b)

intercepted arc

c)

minor arc

d)

a central angle

e)

semicircle

66.

If the measure of arc WZ=115^o, what is the measure of arc WX?

a)

115^o

b)

65^o

c)

85^o

d)

245^o

67.

If the measure of arc WZ=115^o, what is the measure of arc WYZ?

a)

115^o

b)

65^o

c)

85^o

d)

245^o

68.

When given the appropriate arc measures, to find the measure of red angle, which operation would you use?

a)

add

b)

subtract

c)

multiply

d)

none, they have equal measures.

69.

When given the appropriate arc measures, to find the measure of red angle, which operation would you use?

a)

add

b)

subtract

c)

multiply

d)

none, they have equal measures.

70.

When given the appropriate arc measures, to find the measure of red angle, which operation would you use?

a)

add

b)

subtract

c)

multiply

d)

none, they have equal measures.

71.

Given the m<MAN=72^o, measure of arc NM?

a)

72^o

b)

36^o

c)

144^o

d)

136^o

72.

Which is the midpoint formula?

a)

$\left(\frac{x_2+x_1}{2},\ \frac{y_2+y_1}{2}\right)$

b)

$y=mx+b$

c)

$m=\frac{y_2-y_1}{x_2-x_1}$

d)

$d=\sqrt{\left(x_2-\ x_1\right)^2+\left(y_2-y_1\right)^2}$

73.

Which is the distance formula?

a)

$\left(\frac{x_2+x_1}{2},\ \frac{y_2+y_1}{2}\right)$

b)

$y=mx+b$

c)

$m=\frac{y_2-y_1}{x_2-x_1}$

d)

$d=\sqrt{\left(x_2-\ x_1\right)^2+\left(y_2-y_1\right)^2}$

74.

Which is the slope formula?

a)

$\left(\frac{x_2+x_1}{2},\ \frac{y_2+y_1}{2}\right)$

b)

$y=mx+b$

c)

$m=\frac{y_2-y_1}{x_2-x_1}$

d)

$d=\sqrt{\left(x_2-\ x_1\right)^2+\left(y_2-y_1\right)^2}$

75.

Determine if triangles are congruent, of so why?

a)

SAS

b)

ASA

c)

AAS

d)

not necessarily congruent

76.

Determine if triangles are congruent, of so why?

a)

SAS

b)

HL

c)

SSA

d)

not necessarily congruent

77.

Determine if triangles are congruent, of so why?

a)

SAS

b)

ASA

c)

SSA

d)

not necessarily congruent

78.

Determine if triangles are congruent, of so why?

a)

SAS

b)

AAS

c)

SSA

d)

not necessarily congruent

79.

Determine if triangles are congruent, of so why?

a)

SAS

b)

ASA

c)

SSA

d)

not necessarily congruent

80.

Determine if triangles are congruent, of so why?

a)

SAS

b)

SSA

c)

SSS

d)

not necessarily congruent

81.

Determine if triangles are congruent, of so why?

a)

SAS

b)

ASA

c)

SSS

d)

not necessarily congruent

82.

From Assign #67, Question 6 (area)

Select correct number value and

correct unit.

a)

yd

b)

yd²

c)

61.2

d)

122.4

e)

63.45

83.

The given proportion is used to help find what?

a)

Arc Measure

b)

Angle Measure

c)

Arc Length

d)

Sector Area

84.

True or False. Given two parallel lines cut by a transversal, their corresponding angles are supplementary.

a)

false

b)

true

85.

True or False. Given two parallel lines are cut by a transversal, their same side exterior angles are congruent.

a)

false

b)

true

86.

Angle 1 = 27^oFind the measure of angle 4

a)

27^o

b)

153^o

c)

63^o

d)

90^o

87.

What is the name of the angle relationship between angle 1 and angle 3?

a)

Consecutive interior angles

b)

Vertical Angles

c)

Alternate exterior Angles

d)

Corresponding Angles

88.

Name the alternate interior angle to angle 3.

a)

4

b)

5

c)

6

d)

8

89.

What is the relationship of the angles?

a)

Corresponding angles

b)

Consecutive Interior

c)

Alternate Interior

d)

Alternate Exterior

90.

Solve for y.

a)

y = 20

b)

y = 120

c)

y = 60

d)

y = 10

6-9-21 Geometry EXTRA CREDIT mini-course review

Total questions: 90

Worksheet time: 2hrs 40mins

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