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Worksheets

Post Test Review

Total questions: 40

Worksheet time: 2hrs 32mins

Name
Class
Date
1.

Click and drag the statement to the correct box.

 Complete the converse and contrapositive of the conditional statement.

Conditional Statement: If I pass the class, then I did my work.

Converse: IF ​ (a)   , THEN ​ (b)   .

Contrapositive: IF ​ (c)   , THEN ​ (d)   .

Choose from the below words
I  did my work
I passed the class
I did not do my work
I did not pass the class
2.

Click and drag the statement to the correct box.

 Complete the converse and contrapositive of the conditional statement.

Conditional Statement: If I pass the class, then I did my work.

Converse: ​ (a)  

Inverse: ​ (b)  

Contrapositive:​ (c)  

Choose from the below words
If I did my work, then I passed the class.
If I didn't pass the class, then I didn't do work.
If I didn't do work, then I didn't pass the class.
I passed the class if and only if I did my work.
3.

Use the following to translate the sentence into symbols.

Let p represent: I go to EVHS.

Let q represent: I am a Cyclone.

If I am a Cyclone, then I go to EVHS.

a)

q V p

b)

q-->p

c)

p \wedge q

d)

~q-->~p

4.
Angle 1 = 27o
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
5.
State the line of reflection.
a)
Reflection across y-axis
b)
Reflection across x-axis
c)
Reflection across x = 1
d)
Reflection across y = 1
6.

What is the perimeter of rectangle TUWV, with T(1, 8), U(10, -4), V(2, -10), and W(-7, 2)?

a)

30 units

b)

10 units

c)

50 units

d)

15 units

7.

Line p contains the points (3, 4) and (-3, 0). Which point lies on a line that is perpendicular to line p and passes through point C?

a)

(1, -1)

b)

(1, -6)

c)

(-2, 5)

d)

(-3, -6)

8.

Three friends Matthew, Sarah, and Andrew all live in Salem. Matthew & Sarah live the closest, while Sarah & Andrew live the farthest apart. Where must each person live? Label the boxes.

9.

For what value of x is pqp \parallel q ?

(a)  

10.

For what value of y is pqp \parallel q ?

(a)  

11.

In Δ XYZ, ∠X = 67°, ∠Y = 28°. Which statements are correct?

a)

XY is the longest

b)

XZ is the shortest

c)

YX is the shortest

d)

XZ is the longest

e)

YZ is the longest

12.
Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 mm, 4 mm
a)
more than 3 but less than 11
b)
more than 11 but less than 3
c)
less than 3 but more than 11
13.
What is a possible third side to a triangle with side lengths of 13 and 4?
a)
9
b)
12
c)
8
d)
5
14.

What is the range of values for the third side of the triangle?

​ (a)   < x < ​ (b)  

Choose from the below words
4
10
-4
5
12
7
15.

Organize these options into the right categories.

Categorize the following

3,4,5

8,12,15

7,7,7

1,12,13

2,5,7

Makes a Triangle
Does NOT Make a Triangle
16.

Match the following:

a)

No Triangle

1.

1,2,3

b)

Right Triangle

2.

9,12,15

c)

Acute Triangle

3.

7,7,9

d)

Obtuse Triangle

4.

8,12,17

17.

What value of x makes △GTB ≅ △HAR?

a)

0

b)

8

c)

19

d)

9.5

18.

Drag the correct picture to the correct category by how the triangles are congruent.

Categorize the following
SSS
SAS
ASA
AAS
19.
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
20.

Determine if each of the trianges below are Similar, or Not Similar to triangle ABC on the left. Drag and Drop each triange to the correct column.

Categorize the following
Similar
Not Similar
21.
Find x - the length of the hypotenuse of the triangle.
a)
5
b)
5√2
c)
10
d)
5√3
22.
Solve for the missing distance.
a)
18.9
b)
19.5
c)
47
d)
27.5
23.
Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree.
HINT: Assume this is a right triangle.
a)
63 ft
b)
65 ft
c)
74 ft
d)
87 ft
24.
Use inverse trig ratios (SOH CAH TOA) to solve for the missing angle
a)
32°
b)
44°
c)
61°
d)
50°
25.

The volume of a cube is 125 cm3. What is the surface area of the cube?

a)

50 cm3

b)

150 cm3

c)

5 cm3

d)

25 cm3

26.
The sum of the interior angles in a polygon is 3,240o.  How many sides are in the polygon?
a)
10
b)
582,840
c)
18
d)
20
27.

Given: Rhombus QRST where QR is 3x + 12 and RS is 5x - 4. What is the perimeter of QRST?

a)

144

b)

36

c)

8

28.

Choose the quadrilaterals with diagonals that are perpendicular.

a)

Square

b)

Parallelogram

c)

Rectangle

d)

Rhombus

29.

How many sides does a polygon have if one of its interior angles is 120 degrees in a regular polygon?

a)

6

b)

8

c)

4

d)

5

30.
Find the arc length.  Leave your answer in terms of π.
a)
7/4π
b)
7/2π
c)
1/8π
d)
45π
31.

Find the EXACT area of the sector.

a)

3π2cm2\frac{3\pi}{2}cm^2

b)

4π3cm2\frac{4\pi}{3}cm^2

c)

26π3cm2\frac{26\pi}{3}cm^2

d)

8π3cm2\frac{8\pi}{3}cm^2

32.
What is the equation of the circle?
a)
(x+1)2 + (y +1)2 = 3
b)
(x+1)2 + (y -1)2 = 3
c)
(x+1)2 + (y +1)2 = 9
d)
(x-1)2 + (y -1)2 = 9
33.

Solid A is similar to Solid B. The ratio of the surface area of A to B is 9:16. Complete the table with the ratio of the sides and volumes.

Side Length Ratio: ​ (a)   : ​ (b)  

Surface Area: 9 : 16

Volumes: ​ (c)   : ​ (d)  

Choose from the below words
3
4
27
64
2
9
8
34.

What is the ratio of the original volume to the new volume of a cylinder if its radius and height are doubled?

a)

a. 1:8

b)

b. 1:2

c)

c. 1:4

d)

d. 1:6

35.

Tara created a 1 inch cube out of paper. If she doubles the volume of her cube, which statement could be true?

a)

a. Tara added two inches to the height of the cube

b)

b. Tara doubled the measurements of the cube’s height, length and width

c)

c. Tara doubled the measurement of the cube’s height

d)

d. Tara added two inches to the height, length and width of the cube

36.
Let V represent Vehicles. Let M represent motorized vehicles, and let A represent automobiles.
Which is not a valid conclusion?
a)
Not all motorized vehicles are automobiles.
b)
Not all automobiles are motorized vehicles
c)
Some motorized vehicles are not automobiles.
d)
Automobiles are motorized vehicles.
37.
What shape will the vertical cross -section of a cylinder be?
a)
Circle
b)
Triangle
c)
Rectangle
d)
Ellipse
38.
What shape does this cross section make?
a)
Rectangle
b)
Circle
c)
Triangle
d)
Square
39.

ΔXYZ needs to be similar to ΔABC. What do the coordinates of Z need to be to make the triangles similar?

a)

(0,-4)

b)

(-2,-4)

c)

(-4,0)

d)

(-2,-2)

e)

(8,-4)

40.

Which of the following statements can be represented by the Venn Diagram?

a)

If the figure is a square, then it is a rhombus.

b)

If the figure is a rhombus, then it is a square.

c)

If it has 4 sides, then it is a square.

d)

All rhombi are squares.