Chapter

Objective
Students
will be able to…

Standard(s)

Help/Examples

Practice

3.1.1

Perform a dilation of a given shape

GSRT.1

Thinking about dilations
Dilating from an arbitrary point example 
Dilations 
3.1.1

Understand dilations have equal angles and proportional corresponding
side lengths

GSRT.1

Explore dilations 

3.1.2

Understand a dilation as a transformation and (multiplying (and dividing) lengths of figures by a common
number (zoom factor) produces a similar figure)

GSRT.2

Prove two figures are similar after a dilation
Determine if two figures are similar using transformations and dilations
Determine a scale factor by applying ratios 

3.1.3

Understand the ratio of the perimeter of similar figures is 1

GSRT.2

Find a perimeter by using a scale factor and a proportion.
Find an area by using a scale factor and a proportion. 
Perimeters of Similar Figures Areas of Similar Figures

3.1.3

Set up and solve proportional problems

GSRT.2

Find a length by using a scale factor and a proportion.

Solving similar triangles 1
Solving similar triangles 2

3.1.4

Apply proportional reasoning to real world situations

GSRT.2



3.2.1

Use short cuts to prove similarity (SAS and AA)

GSRT.2

Understand that similar triangles share angle measures and side ratios
Show triangle similarity using translationDetermine similarity by comparing angles

Similarity Statements Side Lengths and angle measures in similar figures Similar Triangles

3.2.2

Prove Similarity using a flowchart (SAS and AA)

GSRT.2

Prove that two triangles are similar by writing an algebraic proof


3.2.3

Understand that if the common ratio of corresponding sides of similar
triangles is 1 then the triangles are congruent

GSRT.4
GSRT.5



3.2.4

Use short cuts to prove similarity (SSS)

GSRT.2


Similar Triangles 2 Similarity Rules for Triangles

3.2.5

Prove Similarity using a flowchart (SAS, AA, SSS)

GSRT.2



3.2.6

Apply similarity to real world situations

GSRT.4


