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Coordinate & Geo Proofs & CPCTC

Total questions: 47

Worksheet time: 2hrs 34mins

Name
Class
Date
1.

In a geometric proof, reasons on the _____ side

a)

Left

b)

Right

c)

transative

d)

POE

2.

In a geometric proof, statements go on the ____ side

a)

left

b)

right

c)

transative

d)

POE

3.

If a is related to b and b is related to c then a is related to c

a)

transative property

b)

subtraction POE

c)

Given

d)

Definition of right angle

4.

AB + BC = AC

a)

Angle addition postulate

b)

Segment addition postulate

c)

Definition of supplementary angles

d)

Transative property

5.

If B is the midpoint of AC‾\overline{AC}  , then AB‾≅BC‾\overline{AB}\cong\overline{BC}  

a)

Midpoints create two congruent parts

b)

Angle bisectors create 2 congruent angles

c)

Definition of segment bisector

d)

Definition of perpendicular lines

6.

m<AMX + m<XMB = m<AMB

a)

Segment addition postulate

b)

Angle addition postulate

c)

Definition of supplementary angles

d)

Definition of angle bisector

7.

The symbol ≅\cong  means..........

a)

Congruent

b)

transitive

c)

equal sign

d)

supplementary

8.

When writing a proof start with ......

a)

The given

b)

Transative property

c)

Supplementary angles

d)

Subtraction POE

9.
What is the midpoint between (-4,4) and (-2,2)?
a)
(3,2)
b)
(-3,3)
c)
(4,5)
d)
(6,7)
10.
What is the midpoint between (3, -1) and (7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
11.
Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)
a)
(-1, 13)
b)
(13, 1)
c)
(13, -1)
d)
(5, 13)
12.
What's the distance between (-3,4) and (-3, -10)?
a)
14
b)
-14
c)
6
d)
-6
13.
What's the distance between (0,0) and (3,4)
a)
7
b)
49
c)
5
d)
25
14.

What is the y- intercept of the graph of y = -5x + 6

a)

5

b)

-5

c)

6

d)

-6

15.
Find the slope
a)
-2/3
b)
3/2
c)
-3/2
d)
2/3
16.
What is the y-intercept of the line graphed below?
a)
3
b)
4
c)
-3
d)
4/3
17.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
18.

Calculate the length of the segment.

Approximate to the nearest tenth if needed.

a)

23.7 units

b)

562 units

c)

11.4 units

d)

130 units

19.

What is the slope and y-intercept of the line?

6x + 2y = 5

a)

m = -6;

b = -5

b)

m = 3;

b = -5/2

c)

m = 6;

b = 5

d)

m = -3;

b = 5/2

20.

Select all the statements that are true.

a)

The slope is negative.

b)

The y-intercept is at (0,1)

c)

The x-intercept is 1.

d)

The line is crossing the origin.

e)

The slope is -0.5

21.

What are the coordinates of the park?

a)

(5 , 8)

b)

(1 , 5)

c)

(8 , 1)

d)

(3 , 3)

e)

(9 , 7)

22.

This point is ( 0 , 0 ) on the coordinate plane, it is also where the X and Y axis intersect. What is it called?

a)

Origin

b)

X axis

c)

Y axis

d)

X coordinate

e)

Y coordinate

23.

This axis goes left and right on the coordinate plane.

a)

Origin

b)

X axis

c)

Y axis

d)

X coordinate

e)

Y coordinate

24.

This axis goes up and down on the coordinate plane

a)

Origin

b)

X axis

c)

Y axis

d)

X coordinate

e)

Y coordinate

25.

This coordinate goes first in an ordered pair

a)

Origin

b)

X axis

c)

Y axis

d)

X coordinate

e)

Y coordinate

26.

This coordinate goes second in a coordinate pair

a)

Origin

b)

X coordinate

c)

Y coordinate

27.

M is midpoint of points A(2,-2) and B(4, 2). What are the coordinates of point M?

a)

(1, 2)

b)

(1, 0)

c)

(6, 0)

d)

(3, 0)

28.

A line l1l_1 joining 2 points A(4, 4) and B(2, -2). Which of the given line is parallel to it?

a)

y=4x+7

b)

y=5x-8

c)

y=3x+2

d)

y=2x

29.

In a geometric proof, reasons on the _____ side

a)

Left

b)

Right

c)

transative

d)

POE

30.

In a geometric proof, statements go on the ____ side

a)

left

b)

right

c)

transative

d)

POE

31.

AB + BC = AC

a)

Angle addition postulate

b)

Segment addition postulate

c)

Definition of supplementary angles

d)

Transative property

32.

When writing a proof start with ......

a)

The given

b)

Transative property

c)

Supplementary angles

d)

Subtraction POE

33.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
34.
Complete the congruence statement.
a)
OEG
b)
OGE
c)
EGO
d)
GOE
35.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
36.
 ∠A = ≅
a)
∠M
b)
∠N
c)
∠L
37.
If ∆PIG ≅ ∆COW, WO≅?
a)
GI
b)
PI
c)
PG
38.
Name the corresponding angle or side.
a)
A
b)
B
c)
C
d)
D
39.
Which is a correct congruence statement.
a)
A
b)
B
c)
C
d)
D
40.
These triangles are congruent. If ∠E is 45o and ∠B is 55o what is the measure of ∠C?
a)
45o
b)
55o
c)
80o
d)
100o
41.
If ΔDEF ≅ ΔRST, then we can conclude that DE = what?
a)
ST
b)
RS
c)
DF
d)
RT
42.
If ΔABC ≅ ΔXYZ, which statement is always true?
a)
AB = AZ
b)
∠B ≅ ∠Y
c)
∠X ≅ ∠C
d)
AC = XC
43.
If ΔABC ≅ ΔXYZ, which statement is always true?
a)
AB = YZ
b)
∠C ≅ ∠Z
c)
∠B ≅ ∠C
d)
AC = XY
44.
a)
A
b)
B
c)
C
d)
D
45.
If ∆LMK ≅ ∆LMT, then
∠K ≅ ____
a)
T
b)
∠T
c)
∠M
d)
∠L
46.

Given: ∆MAN ≅∆DEN ∠MAN = ___

a)

∠DEN

b)

∠NED

c)

∠END

d)

∠EDN

47.

Given: ∆MAN ≅∆DEN

∠END = ___

a)

∠AMN

b)

∠NMA

c)

∠MNA

d)

∠ANM

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