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Geometry Honors Midyear Exam Review

Total questions: 53

Worksheet time: 1hrs 7mins

Name
Class
Date
1.

Give another name for line k.

a)

Line BC

b)

Line BCF

c)

Line ED

d)

Line k is the only name, there isn't another name.

2.
How many points do you need to make a line?
a)
1
b)
at least 2
c)
3
d)
4
3.
True or False: Line DE lies in plane ABC
a)
True
b)
False
4.
True or False: Point C lies on line AB
a)
True
b)
False
5.
Q is the midpoint of PR.
PQ = 6x – 7 and QR = 5x + 1.
Find the length of PR.
a)
8
b)
16
c)
41
d)
82
6.

BD→\overrightarrow{BD}  bisects ∠ABC\angle ABC ,  m∠ABD=3x+5m\angle ABD=3x+5  and  m∠ABC=2x+30m\angle ABC=2x+30 . Find  m∠DBCm\angle DBC  . 

a)

15°15\degree  

b)

35°35\degree  

c)

5°5\degree  

d)

20°20\degree  

7.

Choose the points that are collinear.

a)

A, B, and C

b)

A, C, and D

c)

A, E, and F

d)

B, C, and D

8.

The ? angle and angle ACB are what kind of angle?

a)

Alternate interior

b)

Vertical

c)

Supplementary

d)

Parallel

9.

Match the triangles to the congruence theorem.

a)
1.

SSS

b)
2.

AAS

c)
3.

SAS

d)
4.

ASA

10.

Which of the following is NOT enough to prove two triangles are congruent?

a)

SSS

b)

SAS

c)

SSA

d)

ASA

e)

AAS

11.

Choose the next two terms of the sequence 1, 4, 9, 16, 25, …

a)

30

b)

36

c)

40

d)

49

12.

What is the next term of the sequence 23, 13, 16, 112, ...?\frac{2}{3},\ \frac{1}{3},\ \frac{1}{6},\ \frac{1}{12},\ ...?  


a)

116\frac{1}{16}  

b)

124\frac{1}{24}  

c)

136\frac{1}{36}  

d)

148\frac{1}{48}  

13.
Line l and m are cut by transversal n.  Which statement proves that line l is parallel to line m?
a)
∠2 ≅ ∠3
b)
∠2 ≅ ∠6 
c)
m∠7 + m∠8 = 180°
d)
m∠3 + m∠5 = 90°
14.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
15.
1. Find ∠ AOC 
a)
130
b)
50 
c)
40
16.

Line 1: (15, 20), (17, 18)

Line 2: (-22, -18), (-20, -16)


The two lines are _____________________.

a)

Parallel

b)

Perpendicular

c)

Neither

17.

Find the distance between the points (4, 3) and (0, 6).

a)

3

b)

4

c)

5

d)

7

18.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
19.

Solve for x.

a)

17

b)

5

c)

8.5

d)

15

20.

A triangle's sides measure 3 cm, 5 cm, and 7 cm. Its angles measure 110, 30 and 40 degrees. Classify the triangle.

a)

Scalene Obtuse

b)

Isosceles Right

c)

Scalene Acute

d)

Isosceles Obtuse

21.

16. TRUE or FALSE: Obtuse triangles have two obtuse angles and one acute angle.

a)

TRUE

b)

FALSE

22.

17. TRUE or FALSE: Isosclese triangles have two sides with the same length and one side with a different length.

a)

TRUE

b)

FALSE

23.

Which of ∠2, ∠4, and ∠6 has the largest measure?

a)

∠2

b)

∠4

c)

∠6

24.

Which of ∠1, ∠7, and ∠2 has the largest measure?

a)

∠1

b)

∠7

c)

∠2

25.

Using the figure, choose the correct symbol to be used.

∠7 _____ ∠2

a)

<

b)

>

c)

=

26.

Using the figure, choose the correct symbol to be used.

∠6 _____ ∠8

a)

<

b)

>

c)

=

27.

Are these two triangles congruent? If so, how?

a)

Yes, by SAS

b)

Yes, by AAS

c)

Yes, by ASA

d)

Yes, they look congruent.

e)

No they are not congruent

28.

Are these two triangles congruent? If so, how?

a)

Yes, by SSA

b)

Yes, by SAS

c)

Yes, by HL

d)

Yes, they look congruent

e)

No they are not congruent

29.

Are these two triangles congruent? If so, how?

a)

Yes, by SAS

b)

Yes, by SSS

c)

Yes, by ASA

d)

Yes, they look congruent

e)

No they are not congruent

30.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
31.
The figure is an example of a(n) ...
a)
altitude 
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
32.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
33.
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ
34.

Given the statement, "If it is December, then it snows," match the following:

a)

It is December

1.

hypothesis

b)

It Snows

2.

conclusion

c)

If it snows, then it is December.

3.

converse

35.
If ∆ABC ≅∆DEF, what side is congruent to CA?
a)

FE

b)

DE

c)

FD

d)

DF

36.
Given that C is between A & B, which Segment Addition statement is correct?
a)
AC + AB = CB
b)
AC + CB = AB
c)
AB + BC = AC
d)
CA + CB = CA
37.
Does a triangle with these side lengths exist?
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
38.
Can the sides of a triangle have lengths 3, 4, and 9?
a)
Yes
b)
No
39.
What is a possible third side to a triangle with side lengths of 5 and 5?
a)
9
b)
10
c)
11
d)
12
40.
Name the smallest angle in this triangle.
a)
∠A
b)
∠B
c)
∠C
41.
List the angles in order by measure, smallest to largest.
a)
∠B, ∠A, ∠C
b)
∠A∠,B, ∠C
c)
∠A, ∠C, ∠B
42.

Name the special segment.


a)

median

b)

altitude

c)

perpendicular(⊥)perpendicular\left(\perp\right) bisector

d)

angle bisector

43.
Find x.
a)
180
b)
57
c)
61.5
d)
32.7
44.

Compare QT and ST

a)

QT < STQT\ <\ ST

b)

QT > STQT\ >\ ST

c)

QT = STQT\ =\ ST

d)

QT‾ ≅ ST‾\overline{QT}\ \cong\ \overline{ST}

45.

Find the range of possible values for x.

a)

72<x<24\frac{7}{2}<x<24

b)

x<6x<6

c)

24<x24<x

d)

112<x<6\frac{11}{2}<x<6

46.

Find the range of possible values of x.

a)

53<x<8\frac{5}{3}<x<8

b)

−32<x>8-\frac{3}{2}<x>8

c)

323<x<27\frac{32}{3}<x<27

d)

27<x<3727<x<37

47.

Find the midpoint: (9,1),(8,−4)(9,1),(8,-4)  

a)

(92,52)\left(\frac{9}{2},\frac{5}{2}\right)  

b)

(52,92)\left(\frac{5}{2},\frac{9}{2}\right)  

c)

(172,−32)\left(\frac{17}{2},-\frac{3}{2}\right)  

d)

(−52,172)\left(-\frac{5}{2},\frac{17}{2}\right)  

48.

The midpoint M and one endpoint of segment GH is given. Find the coordinates of the other endpoint. G(5, -6) and M(4,3).

a)

(3, 12)

b)

(6, 4)

c)

(1, 2)

49.

The midpoint M and one endpoint of segment GH is given. Find the coordinates of the other endpoint. G(-3, 7) and M(-2,5).

a)

(6, 8)

b)

(-1, 3)

c)

(2, -4)

50.
Solve for x and y
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
51.

Find a.

a)

21

b)

17

52.

Find x.

a)

2

b)

16

c)

8

53.

If WXYZ is a rectangle, find WZ.

(a)