Illustrative Mathematics - Geometry - Mathematics - Unit 1 - Lesson 16

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

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G.CO.3

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.

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G.CO.3

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

• 45 degrees
• 90 degrees
• 135 degrees
• 180 degrees
• 225 degrees

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G.CO.3

Identify any lines of symmetry the figure has.

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G.CO.3

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

• All sides of the triangle have the same length.
• All angles of the triangle have the same measure.
• No sides of the triangle have the same length.
• No angles of the triangle have the same measure.
• Two sides of the triangle have the same length.

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G.CO.3