Scale Factor
Corresponding Sides and Angles
Similar Figures
Perimeter and Area
Mystery
100
If the rule is (3x, 3y), what is the scale factor?
3
100
Look at board 1. Triangles ABC and DEF are similar. What is the corresponding angle to angle C on triangle DEF?
Angle F
100
Look at the figures on board 3. Are these figures similar? Prove it!
Yes they are similar. There is a scale factor of 2.
100
Find the perimeter of both figures on board #4.
P = 4cm P = 16cm
100
How many sides does an octagon have?
8
200
If the rule is (0.5x, 0.5y), what is the scale factor?
0.5
200
Look at board 1. Triangle ABC is similar to triangle DEF. Identify the corresponding side of line segment AC for triangle DEF.
Line segment DF
200
Look at the figures on board #2. Are these figures similar? Prove it!
No, they are not similar. There is no scale factor
200
A rectangle has a length of 6 and a width of 3. What is the area?
A = 18cm²
200
What does 3² equal?
9
300
Look at the triangles on board #24. What is the scale factor of triangle ABC to triangle DEF? Prove it!
Scale Factor = 3
300
Look at board 1. Triangle ABC is similar to triangle DEF. Identify the corresponding side of line segment AB for triangle DEF.
Line segment DE
300
The original rectangle has a length of 4 and a width of 2. Draw a LARGER, similar rectangle.
8 x 4 12 x 6 16 x 8 20 x 10
300
Find the perimeter AND area of triangle ABC on board #22. Find the area.
P = 12cm A = 6cm²
300
What does quadruple mean?
Multiply by 4
400
Look at the triangles on board #24. What is the scale factor of triangle DEF to triangle ABC? Prove it!
Scale factor = 1/3
400
Look at the rectangles on board #3. ABCD and EFGH are similar. What is the corresponding side to AB?
Side FG or side EH
400
Suppose you used the rule (2x, 2y) to transform the figure on board #10 into a new figure. How would the angles compare? SPECIFICALLY, how would the sides compare?
The angles would be the same. The sides of the new figure would be 2 times longer.
400
Suppose you have an original square that is 2cm by 2cm and you enlarge it using the rule (3x, 3y). How would the perimeter AND area change?
The perimeter would get 3 times bigger and the area would get 9 times bigger
400
What state is Mr. Headrick from?
Georgia
500
Look at the triangles on board 12. What is the scale factor going from triangle LMN to triangle PQR?
Scale Factor = 2.5
500
Triangles ABC and DEF are similar (shown on board 4). What is the corresponding side to CA?
Line segment FD
500
An original figure has a length of 2 and a width of 5. After applying the rule (3x, 3y), how many times greater is the area of the new figure?
9 times greater
500
Suppose you have a right triangle with a base of 4 and a height of 5. Find the area of this triangle. If you enlarged the triangle by a scale factor of 2, how would this affect the area?
The area of the original = 10cm² The enlarged triangle would have an area that is 4 times as big.
500
Ms. Foss once dreamed of being an _____________. Fill in the blank
Astronaut
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