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Semester Recap

Total questions: 75

Worksheet time: 3hrs 30mins

Name
Class
Date
1.
Which of the following describes the sequence of transformations shown?
a)
Reflect across the x-axis and then rotate -90 degrees around the origin
b)
Rotate -90 degrees around the origin and then translate down.
c)
Reflect across the x-axis and then reflect across the y-axis.
d)
Translate up and then rotate 90 degrees about the origin.
2.
What is the sequence of transformations for the image given? 
a)
Reflect over the x-axis, translate (x+8,y)
b)
Reflect over the x-axis then translate (x+6, y)
c)
Reflect over the y-axis then (x+1, y+1)
d)
Translate down 4 (y-4) and to the right 5 (x+5)
3.
A rigid motion ...
a)
preserves size and location
b)
preserves shape and location
c)
preserves size and shape
d)
makes the figure larger
4.
Bob places an 18 foot ladder 6 feet from the base of his house and leans it up against the side of his house. Find, to the nearest degree, the measure of the angle the bottom of the ladder makes with the ground.
a)
19
b)
18
c)
71
d)
70
5.
A 129.5m ladder is leaning against a wall. The angle the ladder makes with the ground is 32⁰. What is the height of the building?
a)
68.6
b)
109.8
c)
80.9
d)
244.4
6.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
7.
State if the triangles are congruent. If they are, state how you know.
a)
SAS
b)
ASA
c)
AAS
d)
Not Congruent
8.
Describe the angle relationship.
a)
Same Side Interior
b)
Corresponding
c)
Alternate Interior
d)
Alternate Exterior
9.
Describe the angle relationship.
a)
Same Side Interior
b)
Corresponding
c)
Alternate Interior
d)
Same Side Exterior
10.
What type of triangle is shown?  Complete the statement:  ∠A≅∠_.
a)
Equilateral; C
b)
Isosceles; C
c)
Isosceles; B
d)
Scalene; None
11.

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

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

12.

How do you know lines are parallel?

a)

Slopes are opposite reciprocals of each other

b)

Slopes are the same

13.

The slope of perpendicular lines are:

a)

equal

b)

negative

c)

negative reciprocals

14.

Use the Distance Formula to find the distance between:

(-6,-3) and (-4,-8)

a)

5.4

b)

7.1

c)

6.6

d)

4.8

15.
What is the midpoint between (-4,4) and (-2,2)?
a)
(3,2)
b)
(-3,3)
c)
(4,5)
d)
(6,7)
16.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
measurements
d)
nothing
17.
What does 'b" represent in y=mx+b
a)
y-intercept
b)
base
c)
nothing
d)
slope
18.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
the same.
d)
always 7.
19.

Convert x + 5y = 20 into slope intercept form.

a)

x + 20 = 5y

b)

y =−15x + 4y\ =-\frac{1}{5}x\ +\ 4_{ }  

c)

y = 5x + 100

d)

y =−15x+15y\ =-\frac{1}{5}x+15  

20.
Order the sides from least to greatest. 
a)
DE, VE, DV
b)
VE, DE, DV
c)
DV, VE, DE
d)
DE, DV, VE
21.

Can a triangle be formed with side lengths:

24, 9, 30

a)

yes

b)

no

c)

not enough information

22.
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
23.

List the angles of the triangle in order from smallest to largest.

a)

∠L, ∠N, ∠M\angle L,\ \angle N,\ \angle M

b)

∠L, ∠M, ∠N\angle L,\ \angle M,\ \angle N

c)

∠M , ∠L, ∠N\angle M\ ,\ \angle L,\ \angle N

d)

∠N, ∠L, ∠M\angle N,\ \angle L,\ \angle M

24.

flat surface that has no thickness and extends forever.

a)

point

b)

line

c)

plane

d)

ray

25.
What term is used to describe a pair, or group, of angles that equal 180 degrees?
a)
Supplementary Angles
b)
Complementary Angles
c)
Vertical Angles
d)
Congruent Angles
26.

What angle is vertical to angle 2?

a)

∠4

b)

∠1

c)

∠2

d)

∠5

27.

What angle is complementary to angle 4?

a)

∠5

b)

∠3

c)

∠2

d)

∠1

28.

Tell whether the angles are complementary or supplementary. Then find the value of x.

a)

Complementary; x=25

b)

Complementary; x=5

c)

Supplementary; x=25

d)

Supplementary; x=5

29.

What are Collinear Points?

a)

Points that lie in the same plane

b)

The region that contains all the points between the sides of an angle

c)

A flat surface made up of points that has two dimensions and extends without end, and is represented by a shape that looks like a floor or a wall

d)

Points that lie on the same line

30.
Consists of 2 endpoints and all the points in between.
a)
Ray
b)
Line
c)
Line Segment
d)
Angle
31.

What does this picture represent?

a)

Ray

b)

Line

c)

Segment

d)

Angle

32.
Points that lie in the same plane are called ____________________.
a)
coplanar points
b)
collinear points
c)
line segment
d)
defined terms
33.

What is a bisector?

a)

Two angles that share a common vertex and side.

b)

Adjacent angles that are supplementary.

c)

A line, ray, or segment that divides an angle or segment into two equal parts.

34.

lines that intersect at right angles to form a right angle

a)

parallel lines

b)

perpendicular lines

c)

points

d)

intersecting lines

35.
.
.
What kind of intersecting lines are these?
a)
Parallel Lines
b)
Perpendicular Lines
c)
Right Lines
d)
Scalene Lines
36.

This is a picture of what kind of lines?

a)

Parallel Lines

b)

Perpendicular Lines

c)

Intersecting Lines

37.
Two lines intersect at a ....
a)
angle
b)
point
c)
line
d)
intersection
38.

A line is named by...

a)

Any 2 points on the line, or a lowercase script letter.

b)

Any 3 points on the line.

c)

Any 1 point on the line.

d)

Any 3 points on the line, or a uppercase script letter.

39.
What does the word BISECT mean?
a)
To cut something into more than five pieces.
b)
It is a plane with two sets of wings.
c)
A shape that has three sides. 
d)
To cut something into two congruent pieces or in half.
40.
Find AC
a)
7
b)
8
c)
22
d)
23
41.
Find the value of ∠A.
a)
25°
b)
30°
c)
35°
d)
90°
42.
What is this Symbol called?
a)
Congruent
b)
Equal
c)
Parallel Lines
d)
Angle
43.

What are vertical angles?

a)

Congruent angles formed opposite each other by the intersection of two lines.

b)

Angles formed by the intersection of two intersecting lines at a right angle.

c)

Angles formed by the intersection of two perpendicular lines.

d)

Angles formed by the intersection of two parallel lines.

44.

What is a midpoint?

a)

The point that divides a line segment into four equal parts.

b)

The point that divides a line segment into three equal parts.

c)

The point that divides a line segment into two equal parts.

d)

The point that divides a line segment into two unequal parts.

45.
Do the following side lengths form a triangle?
2 inches, 2 inches, 4 inches
a)
Yes
b)
No
46.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
47.

Two lines that do not intersect and are not parallel

a)

Perpendicular lines

b)

Transversals

c)

Skew lines

d)

Parallel lines

48.

Which sets of measurements could be the interior angles of a triangle? Select EACH correct answer.

a)

15°, 15°, 150°

b)

10°, 90°, 100°

c)

30°, 30°, 115°

d)

10°, 80°, 90°

e)

60°, 60°, 60°

49.
Set up the problem.
a)
sin(47) = x/28
b)
cos(47) = x/28
c)
tan(47) = x/28
d)
cos(47) = 28/x
50.

Which side is the hypotenuse?

a)

1

b)

2

c)

3

51.

What is the ratio for sine?

a)

hyp/opp

b)

opp/hyp

c)

opp/adj

d)

adj/opp

52.

What is the ratio for tangent?

a)

hyp/opp

b)

opp/hyp

c)

opp/adj

d)

adj/opp

53.

What is the ratio for cosine?

a)

hyp/adj

b)

opp/hyp

c)

opp/adj

d)

adj/hyp

54.

What type of triangles do you use the trig ratios with?

a)

any types

b)

right triangles

c)

obtuse triangles

d)

acute triangles

55.

Which Trig function would you use to solve for x?

a)

Sine

b)

Cosine

c)

Tangent

56.

What is the correct equation that needs to be formed to solve for x?

a)

sin 40 = w/28

b)

cos 40 = w/28

c)

tan 40 = w/28

d)

sin 40 = 28/w

57.
Choose the correct ratio.
a)
cos(33)=x/14
b)
sin(33)=x/14
c)
cos(33)=14/x
d)
sin(33)=14/x
58.

cos______ = 4050\frac{40}{50}  

a)

A

b)

B

c)

C

59.
Choose the correct ratio.
a)
sin-1(9/20)
b)
cos-1(9/20)
c)
tan-1(9/20)
d)
cos-1(20/9)
60.
Choose the correct ratio.
a)
sin-1(12/29)
b)
cos-1(12/29)
c)
tan-1(12/29)
d)
tan-1(29/12)
61.

Which of the following is the correct midpoint formula given two endpoints (x1, y1) and (x2, y2)?

a)
b)
c)
d)
62.

Given two points (x1, y1), (x2, y2) the distance between them is:

a)
b)
c)
d)
63.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

64.

What is the opposite of squaring a number?
How do you "undo"  x2x^2  ? 

a)

divide by 2

b)

multiply by 2

c)

fractions

d)

take the square root

65.

Which equation can be used to solve for x?

a)

x2 - 142 = 202

b)

142 + 202 = x2

c)

x2 + 202 = 142

d)

x2 + 142 = 202

66.
Which of the following formulas shows the Law of Cosines?
a)
c2 = a2 + b2 - 4ac + cosA
b)
c2 = a2 - b2 - 2abcosC
c)
c2 = a2 + b2 - 2abcosC
d)
(cos A)/a = (cos B)/b
67.

Identify the Law of Sines

a)

sin⁡2x+cos⁡2x=1\sin^2x+\cos^2x=1

b)

sin⁡(A)a=sin⁡(B)b=sin⁡(C)c\frac{\sin\left(A\right)}{a}=\frac{\sin\left(B\right)}{b}=\frac{\sin\left(C\right)}{c}

c)

sin⁡(A)sin⁡(B)sin⁡(C)=1\sin\left(A\right)\sin\left(B\right)\sin\left(C\right)=1

d)

Soh Cah Toa

68.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
69.
Translations, reflections and rotations are all known as ________________________.
a)
Geometry
b)
Transformations
c)
Congruent
70.

What is a translation in Geometry?

a)

A translation is a transformation that slides a shape or object by a certain distance in a specified direction.

b)
A translation is a scaling of a shape to a different size.
c)
A translation is a reflection of a shape across a line.
d)
A translation is a rotation of a shape around a point.
71.
Identify the transformation from ABC to A'B'C'.
a)
(x+8, y+4)
b)
(x-8, y-4)
c)
(x+4, y+8)
d)
(x-4, y-8)
72.
∠3 & ∠6 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
73.
What is always the 1st statement in reason column of a proof?
a)
Prove
b)
Given
c)
Reason
d)
Statement
74.
Identify the property of equality.
If 9=x, then x=9
a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Substitution
75.
What is reason 2?
a)
Addition Property of Equality
b)
Subtraction Property of Equality
c)
Multiplication Property of Equality
d)
Division Property of Equality

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