AnswersHigh School Math 2 ACompositions

Symmetry Answers

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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.
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A rhombus has 4 equal sides.

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 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
5

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

Question illustration
A
1
B
2
C
3
D
4
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

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

A
45º
B
90º
C
180º
D
360º
8

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°
9

Which figure has an order 3 rotational symmetry?

A
right triangle
B
equilateral triangle
C
regular hexagon
D
right trapezoid
10

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

A
isosceles trapezoid
B
regular octagon
C
square
D
rhombus

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