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Unit 4 Remediation - Geometry

Total questions: 90

Worksheet time: 45mins

Name
Class
Date
1.

What is a point in geometry?

a)

A flat surface

b)

An exact location with no size

c)

A line segment

d)

A shape with area

2.

A line extends

a)

In one direction only

b)

Infinitely in both directions

c)

Between two points only

d)

In a circle

3.

How many points determine a line?

a)

One

b)

Two

c)

Three

d)

Four

4.

A plane is best described as

a)

A flat surface extending infinitely in two dimensions

b)

A curved surface

c)

A line segment

d)

A three-dimensional object

5.

Which of the following is an undefined term in geometry?

a)

Point

b)

Line

c)

Plane

d)

All of the above

6.

A line segment has

a)

No endpoints

b)

One endpoint

c)

Two endpoints

d)

Infinite endpoints

7.

A ray has

a)

Two endpoints

b)

One endpoint and extends infinitely in one direction

c)

No endpoints

d)

Infinite endpoints

8.

Which of the following best describes opposite rays?

a)

Rays that intersect

b)

Rays with the same endpoint extending in opposite directions

c)

Rays that form a triangle

d)

Rays that never meet

9.

What is the midpoint of segment AB if A is (2, 4) and B is (6, 8)?

a)

(4, 6)

b)

(8, 12)

c)

(3, 5)

d)

(2, 4)

10.

How many points are needed to determine a plane?

a)

One

b)

Two

c)

Three non-collinear points

d)

Four

11.

Which tool is used to draw arcs and circles?

a)

Ruler

b)

Protractor

c)

Compass

d)

Straightedge

12.

Two lines that never intersect and are in the same plane are called

a)

Intersecting lines

b)

Parallel lines

c)

Skew lines

d)

Perpendicular lines

13.

What is the symbol for parallel lines?

a)

//

b)

⟂

c)

≡

d)

∠

14.

Two lines that intersect at a right angle are called

a)

Parallel

b)

Perpendicular

c)

Skew

d)

Intersecting

15.

What is the distance between points (3, 0) and (0, 4)?

a)

5

b)

7

c)

1

d)

12

16.

What is the length of the segment between points (1, 2) and (1, 5)?

a)

2

b)

3

c)

4

d)

5

17.

Adjacent angles share

a)

No sides

b)

A vertex and one side

c)

Two sides

d)

The same measure

18.

Complementary angles add up to

a)

90°

b)

180°

c)

45°

d)

360°

19.

Supplementary angles add up to

a)

90°

b)

180°

c)

270°

d)

360°

20.

Vertical angles are

a)

Adjacent

b)

Congruent

c)

Supplementary

d)

Complementary

21.

The sum of the angles in a triangle is

a)

90°

b)

180°

c)

360°

d)

270°

22.

The diameter of a circle is

a)

Twice the radius

b)

Half the radius

c)

Equal to the radius

d)

The distance around the circle

23.

The angle formed by two rays with a common endpoint is called

a)

A segment

b)

An angle

c)

A circle

d)

A vertex

24.

The vertex of an angle is

a)

The endpoint of the rays forming the angle

b)

The length of the side

c)

The measure of the angle

d)

The point where two lines intersect

25.

A linear pair of angles are

a)

Adjacent and supplementary

b)

Complementary

c)

Vertical

d)

Congruent

26.

What is the sum of a linear pair of angles?

a)

90∘90^\circ

b)

180∘180^\circ

c)

270∘270^\circ

d)

360∘360^\circ

27.

Which of the following is NOT true about a plane?

a)

Extends infinitely

b)

Has length and width

c)

Has thickness

d)

Can contain points and lines

28.

The intersection of two planes is

a)

A point

b)

A line

c)

A plane

d)

A ray

29.

How many degrees are in a full circle?

a)

90∘90^\circ

b)

180∘180^\circ

c)

270∘270^\circ

d)

360∘360^\circ

30.

An angle measuring 45∘45^\circ is called

a)

Acute

b)

Right

c)

Obtuse

d)

Straight

31.

An angle measuring 90∘90^\circ is called

a)

Acute

b)

Right

c)

Obtuse

d)

Straight

32.

An angle measuring 135∘135^\circ is called

a)

Acute

b)

Right

c)

Obtuse

d)

Straight

33.

What is the term for the point where two or more lines meet?

a)

Vertex

b)

Intersection

c)

Endpoint

d)

Midpoint

34.

Which of the following is a property of congruent segments?

a)

They have equal length

b)

They have equal angles

c)

They are parallel

d)

They intersect

35.

What is the length of segment AB if A is (0, 0) and B is (4, 3)?

a)

5

b)

7

c)

1

d)

12

36.

Which of the following best describes coplanar points?

a)

Points on the same line

b)

Points on the same plane

c)

Points on different planes

d)

Points that intersect

37.

Which of the following is true about a segment bisector?

a)

It divides a segment into two equal parts

b)

It measures an angle

c)

It is the midpoint

d)

It extends infinitely

38.

A ray is named by

a)

Its endpoint and another point on the ray

b)

Two endpoints

c)

Only one point

d)

The midpoint

39.

What is the correct notation for a line segment between points A and B?

a)

AB with a line over it

b)

AB without any line

c)

AB with arrows on both ends

d)

AB with an arrow on one end

40.

What is the measure of a straight angle?

a)

90°

b)

180°

c)

270°

d)

360°

41.

Two angles that add up to 90° are called

a)

Supplementary

b)

Vertical

c)

Complementary

d)

Adjacent

42.

Two angles that add up to 180° are called

a)

Supplementary

b)

Vertical

c)

Complementary

d)

Adjacent

43.

Which of the following is NOT a type of triangle based on side lengths?

a)

Equilateral

b)

Isosceles

c)

Scalene

d)

Quadrilateral

44.

Which of the following is NOT a type of triangle based on angle measures?

a)

Acute

b)

Obtuse

c)

Right

d)

Square

45.

The sum of the interior angles of a triangle is

a)

90°

b)

180°

c)

270°

d)

360°

46.

The point that divides a segment into two congruent segments is called the

a)

Endpoint

b)

Midpoint

c)

Vertex

d)

Bisector

47.

How many degrees are in a right angle?

a)

45°

b)

90°

c)

180°

d)

360°

48.

Which figure has exactly one pair of parallel sides?

a)

Square

b)

Rectangle

c)

Trapezoid

d)

Parallelogram

49.

Which of these shapes has all sides equal?

a)

Rectangle

b)

Square

c)

Parallelogram

d)

Trapezoid

50.

What do you call a line that divides an angle into two equal parts?

a)

Segment bisector

b)

Angle bisector

c)

Midpoint

d)

Parallel line

51.

Two angles that share a vertex and a side but do not overlap are called

a)

Vertical angles

b)

Adjacent angles

c)

Complementary angles

d)

Supplementary angles

52.

The distance from the center to any point on the circle is called the

a)

Diameter

b)

Radius

c)

Chord

d)

Arc

53.

What is the name of the point where two rays meet?

a)

Midpoint

b)

Vertex

c)

Center

d)

Intersection

54.

Which of these is NOT a property of parallel lines?

a)

They never intersect

b)

They are always the same distance apart

c)

They form right angles with a transversal

d)

They intersect at one point

55.

Which of the following is true about perpendicular lines?

a)

They never intersect

b)

They intersect at 90°

c)

They are parallel

d)

They intersect at any angle

56.

What is the measure of an acute angle?

a)

Less than 90°

b)

Exactly 90°

c)

More than 90° but less than 180°

d)

Exactly 180°

57.

What is the measure of an obtuse angle?

a)

Less than 90°

b)

Exactly 90°

c)

More than 90° but less than 180°

d)

Exactly 180°

58.

What is the shape of the plane?

a)

Flat surface

b)

Curved surface

c)

Line

d)

Point

59.

Two angles opposite each other when two lines intersect are called

a)

Adjacent angles

b)

Vertical angles

c)

Complementary angles

d)

Supplementary angles

60.

Vertical angles are

a)

Congruent

b)

Supplementary

c)

Complementary

d)

Adjacent

61.

How many degrees are in a straight angle?

a)

90°

b)

180°

c)

270°

d)

360°

62.

The distance formula is used to find the distance between

a)

Two points

b)

Two lines

c)

Two planes

d)

Two angles

63.

Which of the following tools is used to measure angles?

a)

Ruler

b)

Protractor

c)

Compass

d)

Straightedge

64.

Which of the following tools is used to draw straight lines?

a)

Compass

b)

Protractor

c)

Ruler or straightedge

d)

None of the above

65.

Which of the following best describes a segment bisector?

a)

A point that divides a segment into two equal parts

b)

A line or ray that divides a segment into two equal parts

c)

A tool used to measure segments

d)

A tool used to draw segments

66.

Which of the following correctly names the segment shown between points A and B?

a)

AB with a line over it

b)

AB with arrows on both ends

c)

AB without any line

d)

AB with one arrow

67.

Which type of angle measures exactly 90 degrees?

a)

Acute

b)

Obtuse

c)

Right

d)

Straight

68.

A triangle has how many sides?

a)

2

b)

3

c)

4

d)

5

69.

A quadrilateral has how many sides?

a)

3

b)

4

c)

5

d)

6

70.

What is the shape of the base of a cylinder?

a)

Circle

b)

Square

c)

Triangle

d)

Rectangle

71.

What is the shape of the base of a cone?

a)

Circle

b)

Square

c)

Triangle

d)

Rectangle

72.

The sum of the interior angles of a triangle is

a)

90∘90^\circ

b)

180∘180^\circ

c)

270∘270^\circ

d)

360∘360^\circ

73.

A circle has a radius of 5 cm. What is the diameter?

a)

5 cm

b)

10 cm

c)

15 cm

d)

20 cm

74.

Which of the following is true about a chord?

a)

It passes through the center of the circle

b)

It connects two points on the circle

c)

It is the same as a radius

d)

It touches the circle at exactly one point

75.

What is the name of the point where two lines intersect?

a)

Vertex

b)

Intersection point

c)

Endpoint

d)

Midpoint

76.

Two lines that form a 90-degree angle are called

a)

Parallel

b)

Perpendicular

c)

Intersecting

d)

Skew

77.

What is the name of the point that divides a segment into two equal parts?

a)

Vertex

b)

Midpoint

c)

Intersection

d)

Endpoint

78.

A polygon with five sides is called a

a)

Triangle

b)

Quadrilateral

c)

Pentagon

d)

Hexagon

79.

A polygon with six sides is called a

a)

Pentagon

b)

Hexagon

c)

Heptagon

d)

Octagon

80.

How many points are needed to determine a line?

a)

1

b)

2

c)

3

d)

4

81.

What is the midpoint of the points A(2,3) and B(6,7)?

a)

(3,5)

b)

(4,5)

c)

(5,6)

d)

(8,10)

82.

Find the distance between the points P(1,4) and Q(5,1).

a)

5

b)

4

c)

√25

d)

√29

83.

The midpoint of points C(−3,2) and D(3,−4) is:

a)

(0,-1)

b)

(1,-1)

c)

(0,-3)

d)

(6,-2)

84.

Calculate the distance between E(0,0) and F(3,4).

a)

5

b)

7

c)

6

d)

4

85.

What is the midpoint of G(7,5) and H(13,9)?

a)

(10,7)

b)

(8,6)

c)

(9,8)

d)

(11,7)

86.

Find the distance between points J(−2,−1) and K(4,3).

a)

√52

b)

√36

c)

√40

d)

√45

87.

The midpoint between L(5,2) and M(9,6) is:

a)

(7,4)

b)

(6,5)

c)

(8,3)

d)

(7,5)

88.

Calculate the distance between N(1,−3) and O(4,1).

a)

4

b)

5

c)

6

d)

7

89.

What is the midpoint of points P(−4,7) and Q(2,−1)?

a)

(1,3)

b)

(-1,3)

c)

(-3,6)

d)

(0,4)

90.

Find the distance between R(6,8) and S(10,12).

a)

6

b)

5

c)

4

d)

√32

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