Geometry | Unit 1 | Lesson 16: More Symmetry | Practice Problems

For each figure, identify any angles of rotation that create symmetry.

• 
• 
• 

A triangle has rotation symmetry that can take any of its vertices to any of its other vertices. Select all conclusions that we can reach from this.

• All sides of the triangle have the same length.

• All angles of the triangle have the same measure.

• All rotations take one half of the triangle to the other half of the triangle.

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.A.3

CCSS.HSG.CO.C.10

Select all the angles of rotation that produce symmetry for this flower.

• 45 degrees

• 90 degrees

• 135 degrees

• 180 degrees

• 225 degrees

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.A.3

CCSS.HSG.CO.A.5

Identify any lines of symmetry the figure has.

A triangle has a line of symmetry. Select all conclusions that must be true.

• All angles of the triangle have the same measure.

• Two sides of the triangle have the same length.

• No sides of the triangle have the same length.

• Two angles of the triangle have the same measure.

• All sides of the triangle have the same length.

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

Here are 4 triangles that have each been transformed by a different transformation. Which transformation is not a rigid transformation?

• 
• 
• 
• 

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

Match each directed line segment with the translation from Polygon \(P\) to Polygon \(Q\) by that directed line segment.

• 
• 
• 
• 

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5