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Fall Interim Assessment Review

Total questions: 32

Worksheet time: 29mins

Name
Class
Date
1.

Given the diagram and that line k is parallel to line i, which of the following statements are always true?

a)

m<1 = m<2

b)

m<1 = m<3

c)

m<4 + m<5 = 180

d)

m<1 = m<8

e)

m<2 = m<8

2.

Given the diagram and knowing that line i is parallel to line k, which statements are true regarding pairs of angles?

a)

<1 and <4 are same-side interior angles

b)

<5 and <6 are a linear pair

c)

<2 and <7 are same-side exterior angles

d)

<5 and <7 are alternate-interior angles

e)

<3 and <7 are corresponding angles

3.

If you are provided lengths of 12 and 18, which inequality best represents the range of values that the third side of a triangle could be?

a)

12 < x < 18

b)

6 < x < 30

c)

12 < x < 18

d)

6 < x < 30

4.

"Every equilateral triangle has 60 degree angles"

Which of the following is an accurate conditional statement for the preceding idea?

a)

If it is 60 degrees, then it must be in an equilateral triangle

b)

If it is not an equilateral triangle, then it must not have 60 degree angles

c)

If it is an equilateral triangle, then it has 60 degree angles

d)

If it is isosceles, then the triangle can have 60 degree angles

5.

The inequality that represents the third side of a triangle is 10 < x < 30. Which of the following could be the other two lengths of the triangle?

a)

10 and 20

b)

10 and 30

c)

20 and 40

6.

AB + BC = AC

If the statement refers to segments, which property does it represent?

a)

Segment Addition Postulate

b)

Addition Property of Equality

c)

Transitive Property

7.

If AB + BC = BC + DE,

then AB = DE

Which property justifies the statement if step #2?

a)

Segment Addition Postulate

b)

Addition Property of Equality

c)

Subtraction Property of Equality

d)

Symmetric Property

8.

In the diagram, which best describes the darkened lines?

a)

Parallel, thus could be in the same plane and not intersecting

b)

Intersecting

c)

Skew, thus will not in the same plane and not intersecting

d)

Perpendicular

9.

In the diagram, what is the best description for the red and blue lines shown?

a)

Parallel, thus in the same plane and not intersecting

b)

Intersecting

c)

Perpendicular

d)

Skew, thus not in the same plane and not intersecting

10.

m<AOB = (2x + 4)o, m<BOC=(7x - 6)o. What is the measure of Angle AOC?

a)

2

b)

8

c)

16

d)

5

11.

Which of the following statements are true, given the diagram?

a)

m<AOB=m<AOC

b)

m<BOA = m<AOC

c)

12\frac{1}{2} m<AOC=m<BOA

d)

m<BOA = m<BOC

12.

The ramp is 10 feet in length and has a height of 4 feet at the highest point. How much length on the ground does the ramp cover?

a)

9.2 feet

b)

6 feet

c)

10.8 feet

d)

7.5 feet

13.

What is the value of x?

a)

15.8

b)

33.8

c)

2.2

d)

7.0

14.

If A(-4,7) is rotated 180 degrees about the origin, which of the following is its image?

a)

A'(-4, -7)

b)

A'(4,-7)

c)

A'(-7,4)

d)

A'(7,-4)

15.

If P(0,7) is reflected across the x-axis, which would be its image?

a)

P'(7,0)

b)

P'(0, -7)

c)

P'(-7,0)

d)

P'(0,7)

16.

In the dilation, what is the scale factor used?

a)

1/2

b)

2

c)

-2

d)

-1/2

17.

A dilation is shown (red to blue); which is the description of the dilation?

a)

A dilation from the x-axis with a scale factor of 1/3

b)

A dilation from the origin with a scale factor of 3

c)

A dilation from the origin with a scale factor of 1/3

18.

Which function notation correctly achieves a translation of 3 units down and 1 unit to the right?

a)

F (x,y) = (x - 3, y + 1)

b)

F (x,y) = (3x, y)

c)

F (x,y) = (x + 1, y - 3)

d)

F (x,y) = (-3x, y)

19.

The diagram shows a reflection across a horizontal line. What are the slopes of  AB‾ and A′B′‾?\overline{AB}\ and\ \overline{A'B'}?  

a)

1/3 and -1/3

b)

3 and -3

c)

undetermined

20.

The diagram is of a triangle rotated 180 degrees. Which of the following statements are true?

a)

Triangle ABC is similar to Triangle A'B'C'

b)

Triangle ABC is congruent to Triangle A'B'C'

c)

The slopes of the sides of Triangle ABC are equivalent to the slopes of the sides of Triangle A'B'C'

d)

The slopes of the sides of Triangle ABC are not equivalent to the slopes of the sides of Triangle A'B'C'

21.

Use your inductive reasoning to determine the next item in the sequence

a)

A triangular shape containing 19 points

b)

A triangular shape containing 20 points

c)

A triangular shape containing 21 points

d)

A triangular shape containing 18 points

22.

Which of the following statements are true with regard to the patterns of tiles demonstrated?

a)

Number of White > Number of Black

b)

Number of White = Number of Black

c)

Area Represented by White > Area Represented by Black

d)

Area Represented by White = Area Represented by Black

23.

After a construction, what has been formed?

a)

An equilateral triangle

b)

A right triangle

c)

An isosceles triangle

d)

A special triangle

24.

What has been constructed in the diagram?

a)

An isosceles triangle

b)

An equilateral triangle

c)

A special triangle

d)

A right triangle

25.

What is the altitude of Triangle ABC?

a)

3 cm

b)

1.5 2\sqrt{2} cm

c)

1.5 3\sqrt{3} cm

d)

3 3\sqrt{3} cm

26.

If the altitude of an equilateral triangle has a height of

 17 3\sqrt{3} inches, then what would its perimeter be?

a)

17 inches

b)

51 inches

c)

102 inches

d)

51 3\sqrt{3}  inches

27.

If I have sticks that measure 7 and 8 and 12 inches respectively, what type of triangle would I form if I put them together end-to-end?

a)

Acute

b)

Right

c)

Obtuse

28.

Which of the following sets of side lengths would form right triangles?

a)

12,10,16

b)

8, 6, 10

c)

1,4,5\sqrt{1},\sqrt{4},\sqrt{5}

d)

20, 30, 11

29.

Which reason, if any, can be used to prove the triangles shown are similar?

a)

AA Similarity

b)

SAS Similarity

c)

SSS Similarity

d)

The triangles are not similar

30.

Which statements are true regarding similar triangles?

a)

They have at least two sets of congruent angles

b)

Their corresponding sides are in proportion

c)

Their angle measures are in proportion

d)

They will have the same area measures

e)

They are mirror images of each other

31.

If it has four sides, then the polygon is a parallelogram. Which of the following are counter-examples to this statement?

a)

Rectangle

b)

Triangle

c)

Rhombus

d)

Trapezoid

e)

Hexagon

32.

If lines are parallel, then alternate-interior angles are the only congruent pairs. Which pair of angles provide a counter-example to this idea?

a)

Same-Side Interior

b)

Same-Side Exterior

c)

Corresponding