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Semester 1 Honors Geometry Review

Total questions: 60

Worksheet time: 2hrs 0mins

Name
Class
Date
1.

Lying on the same plane

a)
coplanar
b)

collinear

c)

parallel

d)

perpendicular

2.

Which points are collinear?

a)

D, A, B

b)

B, A, F

c)

D, C, B

d)

B, C, F

3.
What is the midpoint between (3, -1) and (8, -6)
a)
(11, -7)
b)
(-5.5, -3.5)
c)
(5.5, -3.5)
d)
(2, -2)
4.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
5.
What's the distance between (-11,4) and (4,4)?
a)
-15
b)
15
c)
7
d)
-7
6.
What slope is parallel to:  
m = 3/4
a)
4/3
b)
3/4
c)
-3/4
d)
-4/3
7.
Use the equations given to determine if the following lines are parallel, perpendicular, neither or both.
y=4x-2
y-3=-1/4(x-8)
a)
parallel
b)
perpendicular
c)
neither parallel nor perpendicular
d)
both parallel and perpendicular
8.
Find the missing endpoint given the midpoint (3,4) and the other endpoint (-1,6)
a)
(1,5)
b)
(2,10)
c)
(7,2)
d)
(1,2)
9.
Find the value of x.
a)
15
b)
16
c)
18
d)
19
10.
What is an example of a pair of complementary angles?
a)
13° and 45°
b)
10° and 170°
c)
81° and 9°
d)
90° and 3°
11.

Find the value of x.

a)

60

b)

120

c)

110

d)

130

12.

Find X 

a)
28
b)
5
c)
55
d)
40
13.

Identify the hypothesis (condition) of each conditional statement:


If a person is at least 16 years old, then the person can drive a car.

a)

a person is at least 16 years old

b)

the person can drive a car

14.

Identify the conclusion of each conditional statement:


If a person is at least 16 years old, then the person can drive a car.

a)

a person is at least 16 years old

b)

the person can drive a car

15.

Determine if the conditional statement is true. If false, give a counterexample.


If the season is spring, then the month is March.

a)

True

b)

False, the month could be August

c)

False, the month could be April

d)

False, the month could be February

16.

Write the converse of the following conditional statement:

If a student is a sophomore, then the student is in the tenth grade.

a)

If a student is in the tenth grade, the student is a sophomore.

b)

If a student is in the tenth grade, then the student isn't in the ninth grade.

c)

If a student is a sophomore, then the student is not in the ninth grade

17.
What is the contrapositive to this?
a)
If the food is not cooked, then it is not in the oven.
b)
If the food is not in the oven, then it is not cooked.
c)
If the food is cooked, then its in the oven.
d)
If food is not in the oven, then its cooked.
18.
What is the inverse to this statement?
a)
If you live in Canada, you live in Montreal
b)
If you don't live in Montreal, then you don't live in Canada.
c)
If you don't live in Canada, you don't live in Montreal.
d)
Montreal is in Brazil.
19.
What is the Distributive property of equality
a)
a.  If a=b, then  a can be substituted for b in any equation or expression
b)
b.  a(b+c)=ab+ac
c)
c  For any real number a, a=a .
d)
d.  If a=b, then b=a
20.

y = y

a)

Reflexive Property

b)

Symmetric Property

c)

Transitive Property

d)

Associative Property

21.

If ∠C = ∠Y and ∠Y = ∠F, then ∠C = ∠F

a)

Transitive Property

b)

Commutative Property

c)

Associative Property

d)

Distributive Property

22.

If 24x - 32 = 8, then 3x - 4 = 1

a)

Division Property

b)

Addition Property

c)

Subtraction Property

d)

Multiplication Property

23.

If 15x - 8 = 100, then 15x = 108

a)

Subtraction Property

b)

Addition Property

c)

Multiplication Property

d)

Division Property

24.

If 39x = 55, then 55 = 39x

a)

Symmetric Property

b)

Transitive Property

c)

Associative Property

d)

Distributive Property

25.

Name the property of equality that the statement illustrates.

If T is the midpoint of JG, then JT ≅ TG

a)

Substitution Property of Equality

b)

Transitive Property of Equality

c)

Definition of Midpoint

d)

Definition of Congruence

26.

Name the property of equality that the statement illustrates.

If ray BD bisects ∠ABC, then ∠ABD≅∠DBC

a)

Definition of Angle Bisector

b)

Definition of Congruent Angles

c)

Definition of Linear Pair

d)

Angle Addition Postulate

27.

What type of triangle is shown?

a)

Equilateral

b)

Isosceles

c)

Obtuse

d)

Right

28.

What type of triangle is shown?

a)

Equiangular

b)

Scalene

c)

Isosceles

d)

Equilateral

29.

What type of triangle is shown?

a)

Obtuse

b)

Acute

c)

Right

d)

Equiangular

30.
Classify the triangle by angles and sides.
a)
Right Scalene
b)
Acute Isosceles
c)
Obtuse Isosceles
d)
Equiangular Equilateral
31.

CHALLENGE QUESTION:

Find the measure of the missing angle...

Encuentra la medida del ángulo que falta...

32.
9. Which of these lengths CANNOT represent the sides of a triangle?
a)
32, 34, 60
b)
28, 30, 58
c)
13, 20, 27
d)
2, 4, 5
33.
List the side measures in order, shortest to longest.
a)
QM, QP, MP
b)
MQ, MP, QP
c)
MP, MQ, QP
34.
Identify the smallest angle.
a)
∠A
b)
∠B
c)
∠C
35.

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
10,710,7  

a)

5<x<165<x<16  

b)

4<x<144<x<14  

c)

4<x<174<x<17  

d)

3<x<173<x<17  

36.
Do the following side lengths form a triangle?
2 inches, 2 inches, 4 inches
a)
Yes
b)
No
37.
Can the following side measures form a triangle?
  4 cm, 7 cm, 10 cm 
a)
Yes
b)
No
38.
9. Which of these lengths CANNOT represent the sides of a triangle?
a)
32, 34, 60
b)
28, 30, 58
c)
13, 20, 27
d)
2, 4, 5
39.
In triangle ABC, the length of side AB is 10 inches and the length of side BC is 17 inches.  Which of the following could be the length of side AC?
a)
16 inches
b)
5 inches
c)
32 inches
d)
29 inches
40.
List the side measures in order, shortest to longest.
a)
QM, QP, MP
b)
MQ, MP, QP
c)
MP, MQ, QP
41.
Identify the longest side measure.
a)
AC
b)
BA
c)
BC
42.
Identify the smallest angle.
a)
∠A
b)
∠B
c)
∠C
43.
List the angles in order by measure, smallest to largest.
a)
∠B, ∠A, ∠C
b)
∠A∠,B, ∠C
c)
∠A, ∠C, ∠B
44.

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
10,710,7  

a)

5<x<165<x<16  

b)

4<x<144<x<14  

c)

4<x<174<x<17  

d)

3<x<173<x<17  

45.

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
8,128,12  

a)

4<x<164<x<16  

b)

5<x<205<x<20  

c)

4<x<174<x<17  

d)

4<x<204<x<20  

46.

Identify the triangle by its sides and angles.

a)

Obtuse Equilateral

b)

Obtuse Isosceles

c)

Isosceles

d)

Acute Scalene

47.

Identify the triangle by its sides and angles

a)

Right Isosceles

b)

Right Scalene

c)

Right Equilateral

48.

Identify the triangle by its sides and angles

a)

Equilateral

b)

Obtuse Equilateral

c)

Acute Equilateral

d)

Acute Isosceles

49.

Identify the triangle by its sides and angles

a)

Right Isosceles

b)

Right Scalene

c)

Obtuse Isosceles

d)

Obtuse Scalene

50.

Identify the triangle by its sides and angles

a)

Obtuse Isosceles

b)

Obtuse Equilateral

c)

Obtuse Scalene

51.

Identify the triangle by its sides and angles

a)

Acute Equilateral

b)

Right Equilateral

c)

Acute Isosceles

d)

Obtuse Isosceles

52.
Name the angles from LARGEST to SMALLEST
a)
R, S, T
b)
S, T, R
c)
S, R, T
d)
T, S, R
53.
Name the sides from SMALLEST to LARGEST
a)
RS, ST, TR
b)
ST, RT, RS
c)
RT, ST, RS
d)
RT, RS, ST
54.
Can a triangle be formed with side lengths:
4, 7, 10
a)
yes
b)
no
c)
not enough information
55.
Can a triangle be formed with side lengths:
17, 9, 30
a)
yes
b)
no
c)
not enough information
56.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
57.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
58.
State if the triangles are congruent and why.
a)
AAS
b)
SAS
c)
ASA
d)
Not congruent
59.
State if the triangles are congruent and why.
a)
AAS
b)
ASA
c)
Not congruent
d)
SSS
60.

Which congruence statement is correct?

a)

ΔBCA≅ΔDCE\Delta BCA\cong\Delta DCE

b)

ΔBCA≅ΔECD\Delta BCA\cong\Delta ECD

c)

ΔBCA≅ΔCDE\Delta BCA\cong\Delta CDE

d)

ΔBCA≅ΔDEC\Delta BCA\cong\Delta DEC

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