Properties of Similarity
Dilation
Similar triangles
Dilation 2
Trivia
100
Which of the following is NOT always true about similar figures?
a. They have the same shape
b. Corresponding sides are proportional
c. They have the same size
d. Corresponding angles are congruent
What is C?
(Remember, similar figures have the same shape but not necessarily the same size).
100
Another word for Dilation is __________
What is Scale Factor?
100
Two triangles have corresponding sides that are in the ratio of 3:5. What is the ratio of the perimeters of the two triangles?
3:5
100
When the scale factor K > 1, the figure becomes ______
What is bigger, enlarged, increased in size etc.?
100
What is the tiny piece at the end of a shoelace called?
An aglet
200
Which statement below correctly compares the figures?
A. The corresponding angles are congruent, but the corresponding sides are not proportional.
B. The corresponding sides are proportional, but the corresponding angles are not congruent.
C. The corresponding sides are not proportional, but the corresponding angles are not congruent.
What is A?
200
When I dilate a figure, the resulting figure is always _________
What is Similar?
200
Solve for x.
What is 6?
200
When the scale factor K is bigger than 0 but less than 1 (0<K<1), the figure becomes ________
What is smaller, reduced, shrunk etc.?
200
Who was the first televised president?
FDR
300
This is used to determine how many times larger or smaller one object or figure is to another.
Scale Factor?
300
If I dilate a figure, the corresponding angles of the figure are _________
What is congruent?
300
Find the measure of <B
58 degrees
300
The coordinate point A (-1, 4) is dilated by a scale factor of 1/4, what is A'?
What is A'(-1/4, 1)?
300
Amazon only originally sold what kind of product?
Books
400
Which is true about dilation?
A. It is the only rigid transformation.
B. It is the only non rigid transformation
C. It is both a rigid and non rigid transformation.
B
400
If we dilate the point p (4,3) by a factor of r=6, what is the point p’?
What is p’ (24,18)?
400
Find the value of x
x = 20
400
Triangle ABC with coordinate points A(2, 1), B(1, 3) and C(3, 2) is dilated by a scale factor of 2. What are new coordinates of A', B' and C'?
What is A'(4, 2), B'(2, 6) and C'(6, 4)?
400
Who was the first woman to win the Nobel Prize?
Marie Curie (1903)
500
Identify the scale factor of the dilation that took place.
Dilation with a scale factor of 1/2
500
If we dilate the point n (-2,6) by a factor of r=1/2, what is the point n’?
What is n’ (-1,3)?
500
Two corresponding sides of similar triangles are in the ratio of 4:7. what is the ratio of their areas?
16/49
500
Polygon JKLM with coordinate points J(4, 0), K(−8, 4), L(0, −4) and M(12, −8) is dilated by a scale factor of 3/2. What are new coordinates of J', K', L' M'?
What is J'(6, 0), K'(-12, 6), L'(0, -12) and M'(18, -12)?
500
What does SPF stand for in sunscreen?
Sun Protection Factor