AnswersCA-Common Core Geometry DVHS Sem. 1Symmetry

Symmetry Answers

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1
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A rhombus has 4 equal sides.

Question illustration
A
1
B
2
C
3
D
4
2
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Which figure has an order 3 rotational symmetry?

A
right triangle
B
equilateral triangle
C
regular hexagon
D
right trapezoid
3

An equilateral triangle with all equal side lengths and angle measures.

Question illustration
A
1
B
2
C
3
D
4
4

What is the smallest angle of rotational symmetry for a square?

A
45º
B
90º
C
180º
D
360º
5

Which triangle has 0 reflectional symmetries?

A
A triangle has all different side lengths and angle measures.
Option A
B
A triangle has all equal side lengths and angle measures.
Option B
C
A triangle has 2 equal side lengths and 2 equal angle measures.
Option C
D
A triangle has 2 equal side lengths and 2 equal angle measures.
Option D
6

If the smallest angle of rotation for a regular polygon is 18°, how many sides does polygon have?

A
10
B
12
C
20
D
24
7

How can a regular hexagon be folded to show that it has reflectional symmetry?

A
Fold the hexagon along a line from a vertex to the midpoint of an opposite side.
B
Fold the hexagon along a line connecting the two midpoints of adjacent sides.
C
Fold the hexagon along a line that bisects two vertex angles.
D
Fold the hexagon along a line that creates a right angle at a vertex.
8

Which statements are true about the lines of symmetry of a regular pentagon? Select three options.

A
Every line connects two vertices.
B
Every line connects the midpoints of 2 sides.
C
Every line bisects a vertex angle.
D
Every line bisects a side.
E
Every line is perpendicular to a side.
9

A regular polygon has 15 sides. Which is a possible angle of rotational symmetry for the figure?

A
12°
B
45°
C
72°
D
90°
10

Which figure has the same order of rotational symmetry as a rectangle?

A
isosceles trapezoid
B
regular octagon
C
square
D
rhombus
11

Which letter in the word HAPPY has an order 2 rotational symmetry?

A
H
B
A
C
P
D
Y
12

A rhombus has 4 equal sides.

Question illustration
A
1
B
2
C
3
D
4
13

Which statements are true about the lines of symmetry of a regular pentagon? Select three options.Every line connects two vertices.Every line connects the midpoints of 2 sides.Every line bisects a vertex angle.Every line bisects a side.Every line is perpendicular to a side.

A
Every line connects two vertices.
B
Every line connects the midpoints of 2 sides.
C
Every line bisects a vertex angle.
D
Every line bisects a side.
E
Every line is perpendicular to a side.
14

Which type of triangle will always have at least 1-fold reflectional symmetry?

A
right triangle
B
obtuse triangle
C
acute triangle
D
isosceles triangle
15

Which triangle has 0 reflectional symmetries?

A
A triangle has all different side lengths and angle measures.
Option A
B
A triangle has all equal side lengths and angle measures.
Option B
C
A triangle has 2 equal side lengths and 2 equal angle measures.
Option C
D
A triangle has 2 equal side lengths and 2 equal angle measures.
Option D
16

How can a regular hexagon be folded to show that it has reflectional symmetry?

A
Fold the hexagon along a line from a vertex to the midpoint of an opposite side.
B
Fold the hexagon along a line connecting the two midpoints of adjacent sides.
C
Fold the hexagon along a line that bisects two vertex angles.
D
Fold the hexagon along a line that creates a right angle at a vertex.
17

Which letter in the word HAPPY has an order 2 rotational symmetry?

A
H
B
A
C
P
D
Y
18

Which set of side lengths represents a triangle with 3 lines of reflectional symmetry?

A
3, 4, 5
B
3, 6, 9
C
5, 5, 5
D
5, 10, 5
19

What is the smallest angle of rotational symmetry for a square?

A
45º
B
90º
C
180º
D
360º
20

Which angle of rotation is an angle of rotational symmetry for all figures?

A
45°
B
90°
C
180°
D
360°

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