Deck 8: Geometry As Shape

Question 1

Find the distance between the pair of points ( -7 , -8 ) and ( -5 , -2 ). Round your answer to one decimal place. ​

A) 10.2
B) 5.8
C) 40.0
D) 13.4
E) 6.3

Answer 1

6.3

Question 2

On a clock, what angle do the hands make at 2 o'clock? ​

A) 20 °
B) 60 °
C) 2 °
D) 40 °
E) 30 °

Answer 2

60 °

Question 3

Approximate the measure of the following angle. ​ ​

A) 240°
B) 45°
C) 30°
D) 120°
E) 215°

Answer 3

240°

Question 4

Determine the coordinates at point P in the following square if the bottom left hand corner is at the origin, and the length of each side of the square is 20 . ​ ​

A) ( 15 , 15 )
B) ( 15 , 20 )
C) ( 20 , 20 )
D) ( 5 , 5 )
E) ( 10 , 5 )

Question 5

Choose the description that matches the following shape. ​ ​

A) a concave pentagon having three collinear vertices
B) a nonsimple closed curve
C) a curve that is simple and closed but not convex
D) a concave equilateral hexagon
E) an isosceles trapezoid

Question 6

Determine whether the two figures are congruent only by using your mind. That is, you cannot trace one figure and see whether it can be superimposed on the other figure. ​ ​

A) not congruent
B) congruent

Question 7

In the figure below and are perpendicular lines. Name two adjacent angles. ​ ​

A)
B)
C) ​
D)
E)

Question 8

For the figure below, write "polygon" or "not a polygon." If it is a polygon, also write "convex" or "concave." ​ ​

A) concave polygon
B) convex polygon
C) not a polygon

Question 9

How many diagonals can be drawn in an a hexagon ? ​

A) 12
B) 11
C) 14
D) 8
E) 9

Question 10

How many different rectangles can you find in the design? ​ ​

A) 12
B) 6
C) 10
D) 8
E) 14

Question 11

On a clock, what angle does the minute hand make with hour hand at 12:28? Assume that the hour hand stays in the "12" position. ​

A) 84°
B) 280 °
C) 168 °
D) 28 °
E) 336 °

Question 12

Sketch an angle with the following measure. ​ 45 ° ​

A)
B)
C)
D)
E)

Question 13

In the figure below and are perpendicular lines. Name two supplementary angles. ​ ​

A)
B)
C)
D)
E)

Question 14

Refer to the cube pictured below, and use symbols such as to name the following: Two line segments that do not lie in the same plane. ​ ​

A) and
B) and
C) and
D) and
E) and

Question 15

How many different rays can be formed from 3 collinear points? ​

A) 4
B) 3
C) 6
D) 8
E) 9

Question 16

Determine whether the following statement is true or false. If two lines intersect in three-dimensional space, then they lie in the same plane.

A) False
B) True

Question 17

Find the midpoint of the line segment connecting these two points. ​ ( -4 , 1 ) and ( 9 , 5 ) ​

A) ( 3.0 , 2.5 )
B) ( 2.5 , 3.0 )
C) ( 0.5 , 5.0 )
D) ( 5.0 , 0.5 )
E) ( -1.5 , 7.0 )

Question 18

Refer to the cube pictured below, and use symbols such as to name the following: Two parallel line segments. ​ ​

A) CB and GF
B) CB and CE
C) ​ CB and GH
D) GH and GF
E) CE and GF

Question 19

Refer to the cube pictured below, and use symbols such as to name the following: Two perpendicular line segments. ​ ​

A) BC and FG
B) FG and AD
C) FG and EH
D) BF and FE
E) BC and AD

Question 20

Which ray cannot be formed from the three points below? ​ ​

A)
B)
C)
D)
E)

Question 21

Name the figure below. ​ ​

A) triangular prism
B) octagonal prism
C) right cylinder
D) rectangular prism
E) cube

Question 22

Determine whether the following figure is convex or concave.

A) convex
B) concave

Question 23

The coordinates of the endpoints of the hypotenuse of a right triangle are (6, 5) and (4, 3). Find the other vertex. There are two possible solutions. ​

A) (6, 3) or (4, 5)
B) (3, 6) or (6, 4)
C) (5, 3) or (6, 4)
D) (6, 4) or (5, 4)
E) (5, 4) or (3, 6)

Question 24

Three vertices of a rectangle are ( -3 , -2 ), ( 1 , -2 ), and ( 1 , -5 ). What is the other vertex? ​

A) ( 1 , -6 )
B) ( -3 , -5 )
C) ( -7 , -2 )
D) ( -3 , -6 )
E) ( 1 , 1 )

Question 25

How many different ways can you arrange a net with 7 squares by arranging 5 squares in a column and 1 square attached to opposite sides of the column? ​

A) 15
B) 20
C) 10
D) 25
E) 30

Question 26

How many diagonals does a prism have whose base is a regular polygon with 3 sides? ​

A) 30
B) 9
C) 6
D) 14
E) 3

Question 27

Determine the number of vertices, edges, and faces of the following shape.

A) 4 vertices; 7 edges; 3 faces
B) 5 vertices; 8 edges; 5 faces
C) 5 vertices; 10 edges; 5 faces
D) 4 vertices; 11 edges; 6 faces
E) 6 vertices; 10 edges; 4 faces

Question 28

Describe the relationship between the numbers of faces of a 14-gon prism and of a 14-gon pyramid. ​

A) A 14-gon prism has 1 more face than a 14-gon pyramid.
B) A 14-gon prism has 28 more faces than a 14-gon pyramid.
C) A 14-gon prism has 12 more faces than a 14-gon pyramid.
D) A 14-gon prism has 15 more faces than a 14-gon pyramid.
E) A 14-gon prism has 14 less faces than a 14-gon pyramid.

Question 29

Three vertices of a kite are (1,8), (1,0), and ( 5 ,6). What is the fourth vertex? ​

A) (1, -3 )
B) (1, 5 )
C) ( -3 ,6)
D) ( 5 , 4)
E) ( -4 ,6)

Question 30

Sketch the right view of the given figure. ​ ​

A)
B)
C)
D)
E)