Show:
Shape Conjectures
Scale Factors
Missing Proof Strips
Dilations
100

All squares are similar. State truth or false and explain why. If false give a counterexample. 

TRUE: All squares have 4 equal sides and 4 right angles 

100
If we have side lengths (provided below) and have a scale factor of 8, what would be our new side lengths? 


AC = 12 

BC = 15 

AB = 22


AC' = 96 

BC' = 120 

AB' = 176

100

See slide 6: 

See Slide 7: 

100

Are dilations a rigid or non-rigid transformation? 

Non-rigid

200

All equilateral triangles are similar. State true or false and explain why. If false provide a counterexample. 

TRUE: All equilateral triangles have 3 equal sides and 3 angles of 60 degrees 


Angles are the same 

Side lengths are proportional

200

If we have side lengths (provided below) with a scale factor of 3/5 what are our new side lengths? 

AB = 20 

AC = 35 

BC = 55

AB' = 12 

AC' = 21

BC' = 33

200

See slide 2: 

See slide 3: 

200

If we have Triangle ABC with side lengths (provided below), draw this example and dilate a new triangle with a scale factor of 2:

Rough estimates are okay! No need to be exact

AB = 3 cm

AC = 4 cm

BC = 5 cm

Check examples: 

AB' = 6 cm

AC' = 8 cm 

BC' = 10 cm

300

All isosceles triangles are similar. State true or false and explain why. If false state a counterexample.

FALSE: Although all isosceles triangles have 2 equal sides they do not have the same angles. 

Counterexample: 

50 50 80 <-- Angle measures

70 70 40 <-- Angle measures 

300

Fill in the missing side lengths and state what the scale factor is: 

AB = 42

AB' = 7 

AC =

AC' = 12 

BC = 88 

BC' =

AC = 72 

BC' = 14 & 2/3 

Scale factor = 1/6 

300

See slide 8: 

See slide 9: 

300

If we have triangle ABC with side lengths (provided below), draw this triangle and dilate a new one with a scale factor of 1/3. 


AB = 12 cm

AC = 15 cm 

BC = 33 cm

Check examples: 

AB' = 4 cm

AC' = 5 cm

BC' = 11 cm

400

All rhombuses are similar. State true or false and explain why. If false provide a counterexample. 

 

FALSE: All rhombuses have equal sides, but angles can differ. 

Counterexample: 

90 90 90 90 <-- Angle measures

60 120 60 120 <-- Angle measures

400

Fill in the missing side lengths and state the scale factor: 

AB = 1.4

AC = 5.22

BC =

AB' = 3.5

AC' =

BC' = 18.4 

BC = 7.36 

AC' = 13.05 

Scale factor = 2.5 or 2 & 1/2

400

See slide 10:

See slide 11: 

400

Name 4 things that change when you dilate: 

Size 

Side Lengths 

Perimeter 

Area

Distance from center 

500

All rectangles are similar. State true or false and explain why. If false provide a counterexample. 

FALSE: Although all rectangles have 4 right angles, their side lengths can be different proportions and is the only thing used to determine similarity. 

Counterexample: 

A 2x4 rectangle and 3x5 rectangle

500

Find the missing side lengths and scale factor: 

XY = 1.6 

YZ = 

XZ = 6.5 

XY' = 5.12

YZ' = 21.696

XZ' =

Scale factor = 3.2

YZ = 6.78 

XZ' = 20.8

500

See slide 4: 

See slide 5: 
500

See slide 12: 

CLOSEST GROUP GETS 500 POINTS!!!

Check examples