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Spring Semester Review Ch. 6-8

Total questions: 70

Worksheet time: 3hrs 49mins

Name
Class
Date
1.
QR is a midsegment of triangle WUV. What is the length of segment QR?
a)
4
b)
8
c)
16
d)
32
2.
What is the measure of angle X?
a)
60
b)
40
c)
140
d)
100
3.
What is the measure of angle Y?
a)
60
b)
40
c)
140
d)
100
4.
QR is a midsegment of triangle WXY. What is the length of segment WY?
a)
3
b)
6
c)
9
d)
12
5.
QR is a midsegment of triangle FGH. Solve for the value of x?
a)
5.5
b)
11
c)
-5.5
d)
-11
6.
Is DE 1/2 the length of BC?
a)
Yes
b)
No
7.
How are the triangles congruent?
a)
AAS
b)
SAS
c)
ASA
d)
SSS
8.
How are the triangles congruent?
a)
HL
b)
SAS
c)
ASA
d)
AAS
9.
Which property states that ∠A ≅ ∠A?
a)
Distributive Property
b)
Addition Property
c)
Multiplication Property
d)
Reflexive Property
10.
Which is NOT a criteria for triangles to be congruent by the HL Theorem?
a)
Right triangles
b)
congruent hypotenuses
c)
Two pairs of congruent legs
d)
One pair of congruent legs
11.
How are the triangles congruent?
a)
HL
b)
SSS
c)
SAS
d)
AAS
12.
Are these triangles congruent?
a)
Yes, by SAS
b)
Yes, by SSS
c)
No they are not congruent
d)
Not enough information to know for sure
13.
Name the corresponding angle or side.
a)
A
b)
B
c)
C
d)
D
14.

Are the triangles congruent?

a)

Yes, by AA≅

b)

Yes, by AAS≅

c)

Yes, by ASA≅

d)

Yes, by AAA≅

e)

Not enough information

15.
a)

∠6 & ∠2

b)

∠5 & ∠6

c)

∠3 & ∠4

d)

∠5 & ∠8

e)

∠4 & ∠5

16.

If BCDE ≅ OPQR, then DE =

a)

PQ

b)

OR

c)

OP

d)

QR

17.

∠ABC≅ ?

a)

∠PMN

b)

∠NPM

c)

∠NMP

d)

∠MNP

18.
a)

Symmetric Property of ≅ ; SSS

b)

Reflexive Property of ≅ ; SAS

c)

Reflexive Property of ≅ ; SSS

d)

Symmetric Property of ≅; SAS

19.

In each pair of triangles, parts are congruent as marked. Which pair(s) of triangles is/are congruent, by ASA?

a)
b)
c)
d)
e)
20.

From the information in the diagram, can you prove ∆FDG ≅ ∆FDB ? If so, in what way(s)? Explain.

a)

yes, by ASA

b)

yes, by AAA

c)

yes, by AAS

d)

no

e)

Unsure

21.

For which situation could you prove

∆1≅ ∆2 using the H-L Theorem?

a)

I only

b)

II only

c)

I & II

d)

I & III

e)

III only

22.
What is the "statement" for step 3 of the proof?
a)
HT=TA
b)
HA=AH
c)
MA=AM
d)
MA=MH
23.
What is always the 1st statement in reason column of a proof?
a)
Prove
b)
Given
c)
Reason
d)
Statement
24.
Rigid Motions preserve ...
a)
size and shape
b)
size and location
c)
shape and location
d)
shape and direction
25.
What is the justification (reason)?
a)
Reflexive Property
b)
Symmetric Property
c)
Transitive Property
d)
Substitution
26.
What is the justification (reason)?
a)
reflexive property
b)
definition of segment bisect
c)
definition of a midpoint
d)
substitution property
27.
Which of the following is NOT a triangle congruence criteria?
a)
SAS
b)
AAS
c)
SSA
d)
ASA
28.
By definition, a parallelogram ...
a)
has opposite sides that are parallel.
b)
has four sides.
c)
is a slanted rectangle.
d)
has four right angles.
29.
What is the missing piece of information required to prove these triangles congruent?
a)
QY ≅ QY
b)
NY ≅ PY
c)
∠N ≅ ∠P
d)
QY is the perpendicular bisector
30.
Which quadrilateral has diagonals that are always perpendicular bisectors of each other?
a)
trapezoid
b)
parallelogram
c)
rectangle
d)
square
31.
If L is the midpoint of TJ, what must be true?
a)
TL=JT
b)
JL=TJ
c)
TL=LJ
d)
T is also the midpoint of JL
32.
If AD bisects <EDI, then
a)
<ADE=<IDA
b)
IA=AE
c)
ID=ED
d)
All of the above
33.
If DA is perpendicular to IE, then we can immediately conclude that
a)
IA=AE
b)
<IAD = <DAE
c)
<IDA=<EDA
d)
<IAD and <DAE are right angles
34.
If DA bisects EI, then
a)
<IDA = <EDA
b)
AI=EA
c)
Both 1 and 2 are correct
d)
DI=ED
35.
An angle bisector cuts an angle into two congruent _________
a)
Angles!
b)
Segments
c)
Mysteries
36.
A segment bisector cuts a segment into two congruent
a)
Segments!
b)
Angles
c)
Mysteries
37.
In this picture, we know for sure that
a)
<TEB=<ETS
b)
<BTE=<SET
c)
BE=ST
d)
Both 1 and 2 are correct
38.
In this picture,
a)
<BCA=<DCE because they are vertical angles and vertical angles are always congruent to each other
b)
<C=<C because they are vertical angles and vertical angles are always congruent to each other
c)
<EDC=<ACB because they are vertical angles and vertical angles are always congruent to each other
d)
None of the above; we don't actually have vertical angles
39.
If we know that <IAD and <DAE are both right angles, then we know for sure that 
a)
<ADI=<ADE
b)
IA=EA
c)
They are congruent to each other
d)
All of the above
40.
Rigid Motions preserve ...
a)
angle measure and side lengths
b)
angle measure
c)
side lengths
d)
they do not preserve anything
41.
What is statement #1?
a)
AB≅DC
b)
AC≅AC
c)
AB∥DC
d)
∠A≅∠C
42.

Given this information, which quadrilateral is proven?

"A quadrilateral with all 4 sides congruent"

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

43.

Given this information, which quadrilateral is proven?

"A quadrilateral with 4 right angles"

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

44.

What is the supplement of 130 degrees?

a)

70 degrees

b)

30 degrees

c)

50 degrees

d)

80 degrees

45.
Identify the  missing statement or reason
a)
Given
b)
Vertical Angles Theorem
c)
Definition of Angle Bisector
d)
Alternate Interior Angles Theorem
46.
Identify the  missing statement or reason
a)
LN≅MJ
b)
JK≅NK
c)
MK≅LK
d)
∠JKM≅∠NKL
47.
Which of the following is not a valid reason to prove congruent triangles?
a)
ASA
b)
SAS
c)
SSS
d)
AAA
48.
Which of the following is not a valid reason to prove congruent triangles?
a)
SSA
b)
AAS
c)
SAS
d)
SSS
49.
Complete each proportion.
CB / DM  =  AC / ?
a)
BM
b)
MA
c)
BC
d)
AD
50.
Determine whether the triangles are similar(name the postulate or theorem you used).
a)
SSS similar
b)
AA similar
c)
SAS similar
51.
What is the converse of the following conditional:
If an angle measures 56 degrees, then it is an acute angle.
a)
If an angle does not measure 56 degrees, then it is not an acute angle.
b)
If an angle is an acute angle, then it measures 56 degrees.
c)
If an angle is not an acute angle,then the angle does not measure 56 degrees.
d)
The angle measures 56 degrees.
52.
Which is a counterexample of: If a four sided shape has four sides the same length, then it must be a square.
a)
quadrilateral
b)
rectangle
c)
rhombus
d)
square
53.

Are these shapes regular or irregular polygons?

a)

regular

b)

irregular

54.

Are these shapes regular or irregular polygons?

a)

regular

b)

irregular

55.

Is this shape a quadrilateral?

a)

yes

b)

no

c)

maybe

56.

In what way(s) can this shape be classified?

a)

polygon

b)

quadrilateral

c)

rectangle

d)

All of the above

e)

None of the above

57.

In what way(s) can this shape be classified?

a)

triangle and open shape

b)

pentagon and polygon

c)

triangle and polygon

d)

rectangle and closed shape

58.

Which shape is not a quadrilateral?

a)

rhombus

b)

rectangle

c)

trapazoid

d)

parallelogram

e)

pentagon

59.

Fill in the missing reason for the proof.

a)

Opposite angles are congruent.

b)

Alternate interior angles formed by parallel lines are congruent.

c)

Vertical angles are congruent.

d)

Congruent Triangles have congruent parts

60.

Use the diagram to answer the question.

a)

1

b)

2

c)

3

d)

4

61.

Choose the correct missing reasons for the proof.

a)

4) Congruent Triangles have congruent parts; 6)All quads are parallelograms

b)

4) Alternate Interior Angles are congruent; 6) Definition of paralelogram

c)

4)Congruent Triangles have congruent parts; 6)Definition of parallelogram

d)

4) Alternate Interior Angles are congruent; 6) All quads are parallelograms

62.

Fill in the missing reasons for the proof.

a)

5) Alternate Interior angles are congruent; 6) ASA

b)

5) Alternate Interior angles are congruent; 6) AAS

c)

5) Vertical Angles are congruent; 6) ASA

d)

5) Vertical Angles are congruent; 6) AAS

63.

The missing reason is the same for steps 2 and 4. What is the missing reason?

a)

If alternate interior angles are congruent, then the lines are parallel.

b)

If vertical angles are congruent, then the lines are parallel.

c)

Definition of parallelogram

d)

Alternate interior angles formed by parallel lines are congruent.

64.
Name that shape. 
a)
square
b)
square
rhombus
c)
quadrilateral
parallelogram
rhombus
d)
quadrilateral
parallelogram
square
65.
A trapezoid is a quadrilateral with exactly ONE set of parallel sides. 
a)
TRUE
b)
FALSE
66.
If a quadrilateral has 4 equal sides, then it is a square. 
a)
TRUE
b)
FALSE
67.
Kate built a garden box with 4 sides.  It has two sets of parallel sides.  Which of the following shapes could her garden NOT be?
a)
rectangle
b)
trapezoid
c)
square
d)
parallelogram
68.
Sometimes, Always, Never:  A rectangle is ____ a rhombus.
a)
Sometimes
b)
Always
c)
Never
69.
Sometimes, Always, Never: 
A parallelogram is a rectangle. 
a)
Sometimes
b)
Always
c)
Never
70.

How are you feeling about everything? (also, there will be NO probability stuff on any part of the choice board) :)

4 lines

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