CCSS.Math.Content.HSG.CO.A.3

What is the only property of a trapezoid?

• The diagonals bisect each other
• One pair of opposite sides is parallel
• Both pairs of opposite angles are congruent
• Both pairs of opposite sides are parallel

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CCSS.Math.Content.HSG.CO.A.3

Choose ALL the degrees of rotation that will map a regular hexagon onto itself.

• 90

• 120

• 150

• 240

• 300

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CCSS.Math.Content.HSG.CO.A.3

What are the angles of rotation for an octagon?

• multiples of 45
• multiples of 51.4
• multiples of 60
• multiples of 72

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CCSS.Math.Content.HSG.CO.A.3

What are the angles of rotation for a rectangle?

• multiples of 45
• multiples of 90
• multiples of 180
• 360

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CCSS.Math.Content.HSG.CO.A.3

What is one of the angles of rotation needed to rotate this octagon onto itself?

• 60
• 135
• 120
• 240

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CCSS.Math.Content.HSG.CO.A.3

What are the angles of rotation for a trapezoid?

• multiples of 90
• multiples of 180
• multiples of 270
• 360

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CCSS.Math.Content.HSG.CO.A.3

How many lines of symmetry does this shape have?

• 1
• 2
• 3
• 4

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CCSS.Math.Content.HSG.CO.A.3

Identify the smallest angle of rotation that maps the image to itself.

• 60°
• None
• 51.4°
• 45°

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CCSS.Math.Content.HSG.CO.A.3

The figure shows two perpendicular lines, and , intersecting at a point P in the interior of a trapezoid. Line is parallel to the bases and bisects both legs of the trapezoid. Line bisects both the bases of the trapezoid. Which transformation will carry the figure onto itself?

• a reflection across line $r$ .

• a reflection across line $s$ .

• a rotation of $90\degree$ about point $P$ .

• a rotation of $180\degree$ about point $P$ .

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CCSS.Math.Content.HSG.CO.A.3

Octagon  $PQRSTVWZ$ is a regular octagon with its center at point  $C$  . Which transformations will map octagon  $PQRSTVWZ$   onto itself? Select ALL that apply.

• reflection over  $\overline{QV}$ . 

• reflecting over  $\overline{RW}$  

• reflecting over  $\overline{TZ}$  

• rotating  $45\degree$  clockwise around point  $Z$  

• rotating  $90\degree$  counterclockwise around point  $C$  

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CCSS.Math.Content.HSG.CO.A.3