5.03 Rotations

Lesson

Practice

Adaptive

Worksheet

Interactive practice questions

Consider the figures shown.

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Two $triangle$triangle are placed on a Coordinate Plane, where the x- and y- axes are labeled and range from -10 to 10. These $triangle$triangle, $ABC$ABC and $A'B'C'$A′B′C′, have the same shape and size but are situated differently and rotated. The coordinates of the vertices are not explicitly given. The vertices of $triangle$triangle $ABC$ABC are located at A $\left(4,2\right)$(4,2), B $\left(8,3\right)$(8,3), C $\left(3,-1\right)$(3,−1), and D $\left(3,-1\right)$(3,−1). Similarly, the vertices of $triangle$triangle $A'B'C'$A′B′C′ are positioned at A' $\left(-4,-2\right)$(−4,−2), B' $\left(-8,-3\right)$(−8,−3), C' $\left(-3,1\right)$(−3,1), and D' $\left(-3,1\right)$(−3,1).

What single transformation takes $triangle$ $ABC$ABC to $triangle$ $A'B'C'$A′B′C′?

Reflection

Rotation

Translation

Dilation

Identify the transformation from $triangle$ $ABC$ABC to $triangle$ $A'B'C'$A′B′C′.

A rotation of $90^\circ$90° $counterclockwise$ around the origin.

A rotation of $270^\circ$270° $counterclockwise$ around the origin.

A rotation of $180^\circ$180° $clockwise$ around the origin.

A rotation of $90^\circ$90° $clockwise$ around the origin.

Medium

1min

Outcomes

G.RLT.3

The student will solve problems, including contextual problems, involving symmetry and transformation.

G.RLT.3cii

Given an image or preimage, identify the transformation or combination of transformations that has/have occurred. Transformations include: ii) reflections over any horizontal or vertical line or the lines y = x or y = -x;

G.RLT.3ciii

Given an image or preimage, identify the transformation or combination of transformations that has/have occurred. Transformations include: iii) clockwise or counterclockwise rotations of 90°, 180°, 270°, or 360° on a coordinate grid where the center of rotation is limited to the origin;