Free Printable GEO UNIT2

1.

$\angle2\ and\ \angle8$ can best be described as

a)

corresponding angles

b)

a linear pair

c)

vertical angles

d)

alternate interior angles

2.

Name a pair of corresponding angles.

a)

$\angle1\ and\ \angle16$

b)

$\angle6\ and\ \angle11$

c)

$\angle2\ and\ \angle10$

d)

$\angle2\ and\ \angle9$

3.

Name a pair of same-side interior angles.

a)

$\angle2\ and\ \angle15$

b)

$\angle6\ and\ \angle11$

c)

$\angle8\ and\ \angle16$

d)

$\angle8\ and\ \angle7$

4.

Name a pair of alternate interior angles.

a)

$\angle2\ and\ \angle6$

b)

$\angle10\ and\ \angle11$

c)

$\angle10\ and\ \angle12$

d)

$\angle4\ and\ \angle6$

5.

Name a pair of alternate exterior angles.

a)

$\angle3\ and\ \angle16$

b)

$\angle3\ and\ \angle5$

c)

$\angle1\ and\ \angle16$

d)

$\angle3\ and\ \angle13$

6.

$\angle12\ and\ \angle13$ can best be described as

a)

corresponding angles

b)

a linear pair

c)

vertical angles

d)

alternate exterior angles

7.

$\angle12\ and\ \angle16$ can best be described as

a)

alternate exterior angles

b)

alternate interior angles

c)

vertical angles

d)

corresponding angles

8.

$\angle6\ and\ \angle7$ can best be described as

a)

adjacent angles

b)

a linear pair

c)

same-side interior angles

d)

corresponding angles

9.

Name a pair of same-side exterior angles.

a)

$\angle2\ and\ \angle3$

b)

$\angle8\ and\ \angle9$

c)

$\angle1\ and\ \angle4$

d)

$\angle14\ and\ \angle15$

10.

Name a pair of angles that form a linear pair.

a)

$\angle5\ and\ \angle6$

b)

$\angle5\ and\ \angle3$

c)

$\angle5\ and\ \angle12$

d)

$\angle5\ and\ \angle13$

11.

1) Given the two parallel lines cut by a transversal.

What is the vertical angle to angle 4?

a)

Angle 2

b)

Angle 6

c)

Angle 8

d)

Angle 7

12.

2) Given the following two parallel lines cut by a transversal.

Which pair of angles represents corresponding angles?

a)

$\angle1$ and $\angle6$

b)

$\angle6$ and $\angle5$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

13.

3) Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate interior angles?

a)

$\angle3$ and $\angle8$

b)

$\angle7$ and $\angle2$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

14.

4) Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate exterior angles?

a)

$\angle4$ and $\angle8$

b)

$\angle7$ and $\angle5$

c)

$\angle1$ and $\angle2$

d)

$\angle6$ and $\angle5$

15.

5) True or False.

If the following parallel lines are cut by a transversal, would

\angle2

and

\angle6

be corresponding?

a)

True

b)

False

16.

10)Given the two parallel lines cute by a transversal,

What is the measure of $\angle5$ ?

(a)

17.

11) Given the two parallel lines cut by a transversal,

What is the measure of $\angle4$ if $m\angle8=76\degree$ ?

(a)

18.

$\angle3$ and $\angle7$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

19.

$\angle5$ and $\angle6$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

20.

$\angle2\$ and $\angle3$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

21.

Find the missing angle. Find x.

a)

20^o

b)

70^o

c)

160^o

d)

180^o

22.

If m∠1 = 30°, then m∠3 =

a)

30°

b)

60°

c)

150°

d)

undetermined

23.

a)

15

b)

16

c)

18

d)

19

24.

What is the measure of the missing angle?

a)

39°

b)

129°

c)

119°

d)

129°

25.

Find the m∠1

a)

67

b)

113

c)

180

d)

23

26.

Is the figure a polygon? What type?

a)

No, Quadrilateral

b)

Yes, Hexagon

c)

Yes, Octagon

d)

No, Octagon

27.

A polygon with five sides.

a)

Triangle

b)

Quadrilateral

c)

Pentagon

d)

Heptagon

28.

A four-sided polygon

a)

Triangle

b)

Pentagon

c)

Quadrilateral

d)

Hexagon

29.

How many sides does a Triangle have?

a)

4

b)

3

c)

2

d)

6

30.

How many sides does a Quadrilateral have?

a)

4

b)

3

c)

6

d)

9

31.

How many sides does a Pentagon have?

a)

4

b)

3

c)

5

d)

9

32.

How many sides does a Hexagon have?

a)

6

b)

4

c)

3

d)

9

33.

How many sides does an Octagon have?

a)

4

b)

3

c)

9

d)

8

34.

What is a polygon?

a)

A closed figure made up of straight line segments

b)

An open figure made up of straight line segments

c)

A closed figure made up of curved edges

d)

An closed figure made up of crossed line segments

35.

What is the name of this polygon?

a)

a pentagon

b)

a quadrilateral

c)

an octagon

d)

a triangle

36.

Polygon or Non-Polygon?

a)

Polygon

b)

Non-Polygon

37.

A polygon has to have

a)

at least two sides

b)

at least three sides

c)

four or more sides

d)

no sides

38.

How many sides does a decagon have?

a)

12

b)

9

c)

7

d)

10

39.

A polygon with equal side lengths and angle measures.

a)

Regular Polygon

b)

Equilateral Polygon

c)

Equiangular Polygon

d)

Irregular Polygon

40.

Tell whether the polygon is regular or irregular. Tell whether it is concave or convex.

a)

Regular; Concave

b)

Irregular; Convex

c)

Irregular; Concave

d)

Regular; Concave

41.

Tell whether the polygon is regular or irregular. Tell whether it is concave or convex

a)

Regular, Concave

b)

Regular, Convex

c)

Irregular, Concave

d)

Irregular, Convex

42.

Tell whether the figure is regular or irregular...concave or convex.

a)

Regular - Convex

b)

Regular - Concave

c)

Irregular - Convex

d)

Irregular - Concave

43.

Convex or Concave?

a)

Convex

b)

Concave

44.

What is the area of the rectangle?

a)

48 sq feet

b)

48 sq inches

c)

28sq feet

d)

28 feet

45.

What is the perimeter of the rectangle?

a)

15 cm

b)

16 cm

c)

15 sq cm

d)

15 cm

46.

Area = Length X Width
If the Length is 10 cm and the Width is 2 cm was is the area?

a)

12 sq. cm

b)

12 cm

c)

20 sq. cm

d)

20 cm

47.

Perimeter of triangle??

a)

20 cm

b)

28 cm

c)

27 cm

d)

56 cm

48.

What is the perimeter?

a)

12

b)

15

c)

18

d)

3

49.

What is the area of a square with a length of 4 cm?

a)

16 cm

b)

16 square cm

c)

8 cm

d)

8 square cm

50.

What does "circumference" mean?

a)

Space a circle takes up

b)

Distance around a circle

c)

Line from one side of a circle to another

d)

Line from center of circle to side

51.

Find the area of the circle

a)

43.96

b)

153.86

c)

87.82

d)

307.72

52.

Find the circumference of a circle with a radius of 13.5 mm.

a)

37.68mm

b)

18.84mm

c)

84.78 mm

d)

none of the above

53.

The radius of the circle is 9 meters. What is the circle's circumference rounded to the nearest hundredths?

a)

9 meters

b)

28.26 meters

c)

28.27 meters

d)

18 meters

54.

Find the circumference (to the nearest whole number)

a)

88 in

b)

44 in

c)

116 square in

d)

None of the above

55.

Area of triangle

a)

30

b)

15

c)

12

d)

22

56.

A slide is also called a _________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

57.

A turn is also called a ___________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

58.

Name the transformation.

a)

Translation

b)

Reflection

c)

Rotation

59.

Describe the Transformation

a)

Translation

b)

Rotation

c)

Reflection

60.

Identify the transformation.

a)

Reflection across y axis

b)

Reflection across x-axis

c)

180 Rotation

d)

Translation 2 units down

61.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

62.

$\Delta DEF$ will undergo a transformation to create $\Delta D'E'F'$ in the coordinate plane. Which transformation below will NOT result in $\Delta DEF\cong\Delta D'E'F'$ ?

a)

$(x,\ y)→(-3x,\ y-1)$

b)

$(x,\ y)→(x+2,\ y-5)$

c)

$(x,\ y)→(-x,\ y+3)$

d)

$(x,\ y)→(-x,-y)$

63.

The figure shows two perpendicular lines, and , intersecting at a point P in the interior of a trapezoid. Line is parallel to the bases and bisects both legs of the trapezoid. Line bisects both the bases of the trapezoid. Which transformation will carry the figure onto itself?

a)

a reflection across line $r$ .

b)

a reflection across line $s$ .

c)

a rotation of $90\degree$ about point $P$ .

d)

a rotation of $180\degree$ about point $P$ .

64.

Zach and Naomi are studying geometric transformations. Zach is able to move the triangle $A$ to $A'$ using the following sequence of basic transformations:

1. Reflection across the x-axis.
2. Reflection across the y-axis.
3. Translation two units to the right.
Naomi claims that the same three transformations, done in any order will always produce the same result. Zach disagrees. Who is correct?

a)

Zach

b)

Naomi

c)

Both are correct

d)

Both are incorrect

65.

$\Delta ABC$ is shown in the coordinate plane. The triangle will be translated 4 units down and 5 units to the right to create $\Delta A'B'C'$ . Which of the following parts of the image will NOT be the same as the corresponding part in the pre-image $\left(\Delta ABC\right)$

a)

the perimeter of $\Delta A'B'C'.$

b)

the measure of $\angle A$

c)

the coordinates of $C'$

d)

the slope of $A'B'$

66.

$\Delta ABC$ is shown the coordinate plane. It will be rotated 90 degrees clockwise about the origin to form $\Delta A'B'C'$ . Which of the following figures shows the correct orientation of $\Delta A'B'C'$ in the coordinate plane?

a)

b)

c)

d)

67.

$\Delta ABC$ is shown the coordinate plane. It will be rotated 90 degrees clockwise about the origin to form $\Delta A'B'C'$ . What will be the coordinates of $A',\ B'$ and $C'$ ?

a)

$A'\left(1,-2\right),\ \ B'\left(3,-3\right),\ C'\left(2,-5\right)$

b)

$A'\left(2,-1\right),\ B'\left(3,-3\right),\ C'\left(5,-2\right)$

c)

$A'\left(-1,2\right),\ B'\left(-3,3\right),\ C'\left(-2,5\right)$

d)

$A'\left(-1,-2\right),\ B'\left(-3,-3\right),\ C'\left(-2,-5\right)$

68.

Octagon $PQRSTVWZ$ is a regular octagon with its center at point $C$ . Which transformations will map octagon $PQRSTVWZ$ onto itself? Select ALL that apply.

a)

reflection over $\overline{QV}$ .

b)

reflecting over $\overline{RW}$

c)

reflecting over $\overline{TZ}$

d)

rotating $45\degree$ clockwise around point $Z$

e)

rotating $90\degree$ counterclockwise around point $C$

69.

$\Delta JKL$ will undergo a transformation to create $\Delta J'K'L'$ in the xy coordinate plane. Which transformations will result in $\Delta JKL\cong\Delta J'K'L'$ ? Select all that apply.

a)

$\left(x,\ y\right)\rightarrow\ \left(-x,\ -y\right)$

b)

$\left(x,\ y\right)\rightarrow\ \left(-x,\ y\right)$

c)

$\left(x,\ y\right)\rightarrow\ \left(x,\ y-5\right)$

d)

$\left(x,\ y\right)\ \rightarrow\left(x+3,\ \ y-5\right)$

e)

$\left(x,\ y\right)\rightarrow\ \left(2x,\ 3y\right)$

70.

Point (-5,2) is reflected over the y axis. Where is the new point located?

a)

(5,2)

b)

(-5,-2)

c)

(-5,2)

d)

(5,-2)

71.

Which of the following describes the sequence of transformations shown?

a)

Reflect across the x-axis and then rotate -90 degrees around the origin

b)

Rotate -90 degrees around the origin and then translate down.

c)

Reflect across the x-axis and then reflect across the y-axis.

d)

Translate up and then rotate 90 degrees about the origin.

72.

Which answer shows a reflection across the y-axis?

a)

a

b)

b

c)

c

d)

d

73.

Find K' if the figure is reflected across the x-axis

a)

(4, 1))

b)

(-1, -4)

c)

(1, -4)

d)

(1, 4)

74.

What is the algebraic notation of a figure is Translated 9 units right and 3 units down?

a)

(x, y) --> (x - 9, y + 3)

b)

(x, y) --> (x + 9, y - 3)

c)

(x, y) --> (x + 3, y - 9)

d)

(x, y) --> (9x, 3y)

75.

The dashed figure is the image of the solid figure. What is the Algebraic Notation for the Translation?

a)

(x, y) --> (x - 7, y + 4)

b)

(x, y) --> (x + 7, y - 4)

c)

(x, y) --> (x + 4, y - 7)

d)

(x, y) --> (7x, 4y)

76.

What is the name of this 3D solid?

a)

Cone

b)

Triangular Prism

c)

Hexagonal Pyramid

d)

Cylinder

77.

What is the name of this 3D solid?

a)

Rectangular Tetrahedron

b)

Rectangular Prism

c)

Rectangular Pyramid

d)

Sphere

78.

What is the name of this 3D solid?

a)

Cone

b)

Square Pyramid

c)

Triangular Prism

d)

Hexagonal Pyramid

79.

What is the name of this 3D solid?

a)

Triangular Prism

b)

Triangular Pyramid

c)

Square Prism

d)

Square Pyramid

80.

What is the name of this 3D solid?

a)

Cube

b)

Triangular Prism

c)

Rectangular Pyramid

d)

Cone

81.

What is the name of this polyhedron?

a)

Square Pyramid

b)

Rectangular Prism

c)

Triangular Prism

d)

Triangular Pyramid

82.

The flat side of a polyhedron is called:

a)

vertex

b)

face

c)

edge

d)

street

83.

Name the indicated segment in the polyhedron.

a)

edge

b)

outside

c)

face

d)

vertex

84.

How many faces does a square pyramid have?

a)

8 faces

b)

6 faces

c)

4 faces

d)

5 faces

85.

Number of Faces?

a)

7

b)

5

c)

4

d)

15

86.

All of the faces on a pyramid that are NOT the base must be

a)

rectangles

b)

triangles

c)

squares

87.

A pyramid has _______ base(s).

a)

1

b)

2

88.

A prism has _______ base(s).

a)

1

b)

2

89.

Pyramids and prisms both belong to this category of shapes

a)

polygons

b)

parallelograms

c)

polyhedrons

90.

What shape will the horizontal cross-section of a sphere be?

a)

Dome

b)

Circle

c)

Ellipse

d)

Rectangle

91.

What shape will the horizontal cross-section of a cone be?

a)

Dome

b)

Circle

c)

Pyramid

d)

Triangle

92.

What shape will the vertical cross -section of a cylinder be?

a)

Circle

b)

Triangle

c)

Rectangle

d)

Ellipse

93.

What shape will the vertical cross-section of a cube be?

a)

Square

b)

Triangle

c)

Trapezoid

d)

Circle

94.

Describe the cross section.

a)

triangle

b)

rectangle

c)

trapezoid

d)

square

95.

Describe the cross section.

a)

rectangle

b)

square

c)

oval

d)

circle

96.

Describe the cross section.

a)

circle

b)

oval

c)

semi-circle

d)

trapezoid

97.

What shape does this cross section make?

a)

circle

b)

Trapezoid

c)

Rectangle

d)

Parallelogram

98.

Describe the cross section.

a)

triangle

b)

rectangle

c)

oval

d)

trapezoid

99.

A plane intersects a hexagonal prism. The plane is perpendicular to the base of the prism. Which two-dimensional figure is the cross section of the plane intersecting the prism?

a)

triangle

b)

trapezoid

c)

hexagon

d)

rectangle

100.

A plane intersects a hexagonal prism. The plane is parallel to the base of the prism. Which two-dimensional figure is the cross section of the plane intersecting the prism?

a)

triangle

b)

trapezoid

c)

hexagon

d)

rectangle

101.

Select the 2D object that can be rotated to form the 3D object shown.

a)

b)

c)

d)

102.

. Triangle ABC, with vertices at A(0,0), B(3,5), and C(0,5) is graphed on the set of axes above. Which figure is formed when triangle ABC is rotated continuously about BC?

a)