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7. Similarity
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Geometry

7.02 Similarity transformations

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

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

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  1. Dilation by a factor of $2$2 with the origin as the center of dilation
  2. Rotation of $90^\circ$90° clockwise around the origin
A
  1. Dilation by a factor of $2$2 with the origin as the center of dilation
  2. Translation of $5$5 units right and $3$3 units up
B
  1. Dilation by a factor of $2$2 with the origin as the center of dilation
  2. Reflection across the $x$x-axis
C
  1. Rotation of $90^\circ$90° clockwise around the origin
  2. Reflection across the $x$x-axis
D
Medium
< 1min

Determine the correct sequence of transformations that maps triangle $ABC$ABC to triangle $A''B''C''$A′′B′′C′′.

Medium
< 1min

Determine the sequence of transformations could be performed to show that the two squares are similar.

Medium
< 1min

Determine the sequence of transformations can be used to show that $\Delta(FGH)\sim\Delta(F''G''H'')$Δ(FGH)~Δ(F′′G′′H′′). 

Medium
< 1min
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Outcomes

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;

G.RLT.3civ

Given an image or preimage, identify the transformation or combination of transformations that has/have occurred. Transformations include: iv) dilations, from a fixed point on a coordinate grid.

G.TR.3

The student will, given information in the form of a figure or statement, prove and justify two triangles are similar using direct and indirect proofs, and solve problems, including those in context, involving measured attributes of similar triangles.

G.TR.3d

Describe a sequence of transformations that can be used to verify similarity of triangles located in the same plane.

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