AnswersPA-Geometry B-CRThree-Dimensional Figures and Cross Sections

Three-Dimensional Figures and Cross Sections — Unit test Answers

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4

The right isosceles triangle shown is rotated about line k with the base forming perpendicular to k. The perimeter of the triangle is 58 units.

Question illustration
A
a cone with a base radius of 17 units
B
a cone with a base radius of 34 units
C
a cylinder with a base radius of 17 units
D
a cylinder with a base radius of 34 units
5

Which polygon is a concave octagon?

A
A polygon has 7 sides. One angle goes inside of the shape.
Option A
B
A polygon has 8 sides.
Option B
C
A polygon has 8 sides. One angle goes inside of the shape.
Option C
D
A polygon has 7 sides.
Option D
6

Which three-dimensional figure has double the number of edges as faces?

A
rectangular prism
B
rectangular pyramid
C
triangular prism
D
triangular pyramid
10

Parallelogram A B C D is shown. Line segment X Y goes from point X on side A B to point Y on side C D to form 2 trapezoids.

Question illustration
A
Each area is equal to half of the area of ABCD.
B
The area of AXYD is less than the area of BXYC.
C
The area of AXYD is greater than the area of BXYC.
D
Each area is equal to the area of ABCD.
11

The regular hexagon has a radius of 4 in.

Question illustration
A
24 in.2
B
42 in.2
C
48 in.2
D
84 in.2
12

On a coordinate plane, triangle A B C and parallelogram G H J K are shown. Triangle A B C has points (2, 0), (1, negative 6), (negative 2, negative 4). Parallelogram G H J K has points (0, 0), (1, 2), (negative 2, 4), and (negative 3, 2).

Question illustration
A
The area of △ABC is 2 square units greater than the area of parallelogram GHJK.
B
The area of △ABC is 1 square unit greater than the area of parallelogram GHJK.
C
The area of △ABC is equal to the area of parallelogram GHJK.
D
The area of △ABC is 1 square unit less than the area of parallelogram GHJK.
13

A regular pentagon is shown.

Question illustration
A
5.88 cm
B
8.09 cm
C
12.36 cm
D
17.01 cm
16

Which shape could be thought of as being created by stacking congruent polygons?

A
cone
B
rectangular prism
C
square pyramid
D
triangular pyramid

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