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Geometry Semester 1 Review

Total questions: 52

Worksheet time: 2hrs 44mins

Name
Class
Date
1.

Classify the triangle!

a)
acute isosceles
b)
right scalene
c)
acute scalene
d)
obtuse scalene
2.
What is the missing angle?
a)
61
b)
50
c)
60
d)
69
3.

How are the triangles congruent, if they even are?

a)

SAS

b)

They aren't

c)

AAS

d)

ASA

4.

How are the triangles congruent, if they even are?

a)

They aren't

b)

SAS

c)

SSA

d)

HL

5.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
6.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
7.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
8.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
AAS
d)
Not Possible
9.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
ASA
c)
AAS
d)
Not Possible
10.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
11.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
12.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
13.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
14.
What are supplementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect
15.
Find the value of x.
a)
36
b)
12
c)
16
d)
25
16.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
17.
What does CPCTC stand for?
a)
Congruent parts of congruent triangles are congruent
b)
Corresponding parts of congruent triangles are congruent
c)
Corresponding parts of corresponding triangles are corresponding
d)
Corresponding parts of congruent triangles are Canadian.
18.
Acute, right, or obtuse?
a)
Acute
b)
Right
c)
Obtuse
d)
I don't know
19.
Acute, right, or obtuse
a)
Acute
b)
Right
c)
Obtuse
d)
I don't know
20.
In a triangle, how many total degrees are there?
a)
100%
b)
180 degrees
c)
it varies
d)
360 degrees
21.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

22.
What is the ratio for Cosine?
a)
Opp/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Adj/Hyp
23.
Solve for the misssing distance
a)
18.9
b)
19.5
c)
47
d)
27.5
24.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
25.

A triangle with sides 6, 8, and 9 is

a)

obtuse

b)

isosceles

c)

acute

d)

right

26.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
27.
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
28.
Which of the following segments represents an altitude?
a)
Segment BX
b)
Segment AZ
c)
Segment AC
d)
Segment BZ
29.
Which of the following segments represents a median?
a)
Segment BX
b)
Segment AZ
c)
Segment AC
d)
Segment BZ
30.
The figure is an example of a(n) ...
a)
midsegment
b)
perpendicular bisector
c)
altitude
d)
midsegment
31.
Which of the following constructions is illustrated?
a)
An angle is congruent to a given angle
b)
The bisector of a given angle
c)
The bisector of a given segment
d)
The perpendicular bisector of a given segment.
32.
The figure is an example of a(n) ...
a)
altitude 
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
33.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
34.
Segment AD is ________.
a)
a perpendicular segment
b)
a median 
c)
an angle bisector
d)
an altitude
35.
What are the undefined terms essential to any study of geometry?
a)
points, lines, rays
b)
rays, segments, lines
c)
points, lines, planes
d)
lines, points, segments
36.
Find the value of y.
a)
11√2
b)
11
c)
22
d)
(11√2)/2
37.
Find the value of y.
a)
8
b)
4
c)
2√3
d)
8√3
38.
What is the correct equation to solve for x?
a)
tan (45) = x/13
b)
cos (45) = x/13
c)
sin (45) = 13/x
d)
sin (45) = x/13
39.
What is the correct equation to solve for x ?
a)
tan (58) = x/11
b)
tan (58) = 11/x
c)
cos (58) = x/11
d)
sin (58) = x/11
40.
What is the correct equation to solve for x ?
a)
tan( 46 ) = 17/x
b)
sin ( 46 ) = x/17
c)
tan (46 ) = x/17
d)
cos (46) = x/17
41.
What is the correct ratio?
a)
7/24
b)
24/7
c)
7/25
d)
24/25
42.

What type of triangle is this?

a)

Equilateral

b)

Isosceles

c)

Scalene

d)

Obtuse

43.
Classify by angle.
a)
Obtuse
b)
Right
c)
Acute
44.

If  RS∥TARS\parallel TA  , what kind of angles are  ∠TRS ≅ ∠ATR\angle TRS\ \cong\ \angle ATR  ?

a)

vertical angles

b)

corresponding angles

c)

alternate interior angles

d)

linear pair

45.

Which segment is part of both triangles?

a)

PR‾\overline{PR}

b)

QS‾\overline{QS}

c)

PS‾\overline{PS}

d)

QS‾\overline{QS}

46.

What is the reason for statement 3?

a)

Subtraction Property

b)

Definition of Bisector

c)

Reflexive property

d)

Alternate Interior angles

47.

What is the reason for statement 5? Hint: After you prove that triangles are congruent, then all corresponding parts are congruent.

a)

SSS

b)

CPCTC

c)

Reflexive Property

d)

Given

48.
All of the following prove triangles congruent except
a)
ASA
b)
SSS
c)
AAA
d)
SAS
49.
∠A ≅∠?
a)
∠B
b)
∠E
c)
∠D
d)
∠F
50.
  Statement: Through two give points there is...
Euclidean: One and only one line.
Spherical: ??
a)
Two lines
b)
A circle
c)
A great circle
d)
Perpendicular lines
51.
Statement: The sum of the measure of angles of a triangle is...
Euclidean: 180⁰
Spherical: ??
a)
180⁰
b)
Between 180⁰ and 540⁰
c)
Less than 180⁰
d)
Greater than 540⁰
52.
In spherical geometry, a line can intersect another line in 2 points.
a)
True
b)
False