Symmetry Answers

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1
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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
2
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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
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
9

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

A
isosceles trapezoid
B
regular octagon
C
square
D
rhombus
10

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.
11

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.
13

Which figure has an order 3 rotational symmetry?

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

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