Symmetry Answers

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1
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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.
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
4

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

A
isosceles trapezoid
B
regular octagon
C
square
D
rhombus
7

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

Question illustration
A
1
B
2
C
3
D
4
11

A rhombus has 4 equal sides.

Question illustration
A
1
B
2
C
3
D
4
12

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
14

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°
15

Which figure has an order 3 rotational symmetry?

A
right triangle
B
equilateral triangle
C
regular hexagon
D
right trapezoid
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.
18

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
19

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

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