AnswersCA-Common Core Geometry DVHS Sem. 1Symmetry

Symmetry Answers

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1
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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°
2
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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
3

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
4

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
5

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.
6

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.
7

A rhombus has 4 equal sides.

Question illustration
A
1
B
2
C
3
D
4
8

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.
9

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
10

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

Question illustration
A
1
B
2
C
3
D
4

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