Scale Factor/similar figures
Vocabulary
Dilations
Similarity
Misc.
100
The value of x
What is 9 cm?
100
A transformation which creates a similar shape by enlarging or reducing the size of the shape from a fixed point.
What is a dilation?
100
What rule was applied to the coordinates:
(6, 5) ---->(24, 20)
What is (4x, 4y)?
What is scale factor of 4?
100
See powerpoint slide 1
Not similar (39:16 and 40:16 are not proportional)
100
The similarity criteria are (there's 3)...
What is AA, SAS, and SSS (with the similarity symbol after each)
200
The scale factor from Triangle P to Triangle S.
What is 1.5?
What is 3/2?
200
The ratio of corresponding sides on two similar figures.
What is scale factor?
200
Dilate the triangle. Scale factor is 3.
A: (3,4) B: (0,1) C: (5,2)
What is A': (9,12) B': (0,3) C': (15,6)?
200
See powerpoint slide 2
Yes similar.
Scale factor of 6 (or 1/6)
CBA is similar to FGH
200
Given points A (4,2) and B (6,3), the slope is...
What is 1/2 (or 0.5)?
300
What is the scale factor from Triangle S to Triangle P?
What is 2/3?
300
The point from which corresponding points on a figure are dilated.
What is center of dilation?
300
Dilate the square. Scale factor of ½
D: (1,1) E: (1,4) F: (4,4) G: (4,1)
What is D': (.5, .5) E': (.5, 2) F': (2,2) G': (2, .5)?
300
See powerpoint slide 3
Yes similar
AA (vertical angles)
HGF is similar to HTS
300
Angles that are directly across from one another at an intersection point are called... (bowtie shape)
What is vertical angles?
400
From (8,12) to (6,9). The scale factor is...
What is 3/4?
400
A transformation that keeps size and shape. A dilation is not one of these, but rotations, reflections, and translations are.
What is a rigid transformation?
400
Identify the scale factors as enlargements, reductions, or neither.
½, 5, 4, 1.2, ⅓, 1, ⅝
Enlargements: 5, 4, 1.2
Reductions: 1/2, 1/3, 5/8
Neither: 1
400
See powerpoint slide 4
Similar
SSS
FED is similar to FRS
400
The interior of a triangle adds up to this many degrees.
What is 180 degrees?
500
Triangles ABC and DEF are similar. Find the values of b and d
b = 15
d = 12
500
This type of relationship shows that two variables have an equivalent ratio or creates a similar figure.
What is proportional?
500
Two points are given: A (4,6) and B (0,6)
If the points are dilated by a scale factor of 2, the length of the segment A'B' is...
What is 8 units?
500
See powerpoint slide 5
Not similar
No sides, only one pair of angles are KNOWN to be congruent
500
Create an example of similar triangles and identify why they are similar.
Varies
SSS, SAS, and AA are the potential explanations