Topics
4. Rigid Motions
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United States of America
Grades 9-12

4.05 Sequences of transformations

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Point $A$A on the plane is to undergo two successive transformations.

a

First plot point $A'$A′, which is the result when point $A$A is translated $2$2 units upwards.

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b

Now plot point $A''$A′′, which is the result when point $A'$A′ is rotated $90^\circ$90° clockwise about the origin.

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Easy
1min

The given triangle is to undergo two transformations.

Medium
2min

What is the sequence of transformations from triangle $ABC$ABC to triangle $A''B''C''$A′′B′′C′′? Use triangle $A'B'C'$A′B′C′ as a guide.

Easy
< 1min

What is the sequence of transformations from quadrilateral $ABCD$ABCD to quadrilateral $A''B''C''D''$A′′B′′C′′D′′? Use quadrilateral $A'B'C'D'$A′B′C′D′ as a guide.

Easy
< 1min
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Outcomes

G.CO.A.2

Represent transformations in the plane using, e.g. Transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g. Translation versus horizontal stretch).

G.CO.A.5

Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g. Graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.

G.CO.B.6

Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.

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