5.05 Sequences of transformations

Lesson

Practice

Adaptive

Worksheet

Interactive practice questions

Consider the figures shown.

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A two rectangles on a Coordinate Plane. The larger rectangle has vertices labeled A', B', C', and D', while the smaller rectangle inside has vertices labeled A, B, C, and D. The larger rectangle A'B'C'D' appears to be a scaled-up version of the smaller one what is located within it. Both rectangles are aligned with the axes, indicating that their sides are parallel to the x and y axes.

What is the transformation from rectangle $ABCD$ABCD to rectangle $A'B'C'D'$A′B′C′D′?

Translation

Reflection

Rotation

Dilation

What is the scale factor of the dilation from rectangle $ABCD$ABCD to rectangle $A'B'C'D'$A′B′C′D′?

Easy

1min

Consider the figures shown.

Easy

1min

Using quadrilateral $A'B'C'D'$A′B′C′D′ as a guide, determine the correct sequence of transformations that maps quadrilateral $ABCD$ABCD to quadrilateral $A''B''C''D''$A′′B′′C′′D′′.

Medium

< 1min

Medium

< 1min

Outcomes

G.RLT.3

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

G.RLT.3ci

Given an image or preimage, identify the transformation or combination of transformations that has/have occurred. Transformations include: i) translations;

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;