Lesson 4.3 Rotations Learning Target: Understand

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Lesson 4.3 Rotations Learning Target: Understand

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Lesson 4.3 Rotations Learning Target: Understand rotations of figures. Success Criteria: I can rotate figures. I can perform compositions with rotations. I can identify rotational symmetry in polygons. Vocabulary rotation, p. 184 center of

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Lesson 4.3 Rotations

Learning Target:
Understand rotations of figures. Success Criteria:
I can rotate figures.
I can perform compositions with rotations.
I can identify rotational symmetry in polygons.

Vocabulary
rotation, p. 184
center of rotation, p. 184
angle of rotation, p. 184
rotational symmetry, p. 188
center of symmetry, p. 188
order of rotational symmetry,
p. 188 KEY IDEA Performing Rotations

Example 1 Drawing a Rotation Step 1 Draw a segment from P to A. Step 4 Repeat Steps 1–3 for each vertex.
Draw A′B′C′. SOLUTION

KEY IDEA

Example 2 Rotating a Figure in the Coordinate Plane SOLUTION

Example 3 Performing a Composition SOLUTION b. Write a coordinate rule for the composition. Reflection: in the y-axis
Rotation: 90° clockwise about the origin

Example 3 Performing a Composition SOLUTION b. Write a coordinate rule for the composition. (a, b) → (b, a) ✓

KEY IDEA You can use a composition to rotate a figure when the center of rotation is a point on the figure.

Example 4 Rotating When the Center is on the Figure Graph ∆ABC with vertices A(1, 2), B(2, 4), and C(3, 3) and its image after a 180° rotation about point A. SOLUTION A’(0, 0) → A’’(0, 0)

Example 4 Rotating When the Center is on the Figure Graph ∆ABC with vertices A(1, 2), B(2, 4), and C(3, 3) and its image after a 180° rotation about point A. SOLUTION

Example 5 Identifying Rotational Symmetry Determine whether each polygon has rotational symmetry. If so, identify the order of rotational symmetry. a. regular hexagon b. trapezoid SOLUTION ✓ x

Lesson 4.3 Rotations Learning Target: Understand

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