AnswersCA-Common Core Geometry DVHS Sem. 1Symmetry

Symmetry Answers

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1
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Which figure has the same order of rotational symmetry as a rectangle?

A
isosceles trapezoid
B
regular octagon
C
square
D
rhombus
2
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An equilateral triangle with all equal side lengths and angle measures.

Question illustration
A
1
B
2
C
3
D
4
3

Which figure shows a line of reflectional symmetry for the letter T?

A
A letter T is folded at the horizontal line.
Option A
B
A letter T is folded diagonally.
Option B
C
A letter T is folded vertically through the middle.
Option C
D
A letter T is folded diagonally through its center.
Option D
4

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
5

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
6

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
7

If a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, then which statement would be true?

A
The figure must be an isosceles trapezoid because it has 2 congruent base angles.
B
The figure must be a rectangle because all rectangles have exactly 2 lines of symmetry.
C
The figure could be a rhombus because the 2 lines of symmetry bisect the angles.
D
The figure could be a square because the diagonals of a square bisect the right angles.
8

Which figure has an order 3 rotational symmetry?

A
right triangle
B
equilateral triangle
C
regular hexagon
D
right trapezoid
9

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.
10

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

A
45°
B
90°
C
180°
D
360°
11

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
12

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

A
45º
B
90º
C
180º
D
360º
13

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.
14

Which figure shows a line of reflectional symmetry for the letter T?

A
A letter T is folded at the horizontal line.
Option A
B
A letter T is folded diagonally.
Option B
C
A letter T is folded vertically through the middle.
Option C
D
A letter T is folded diagonally through its center.
Option D
15

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.
16

A rhombus has 4 equal sides.

Question illustration
A
1
B
2
C
3
D
4
17

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

A
H
B
A
C
P
D
Y
18

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

A
45º
B
90º
C
180º
D
360º

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