Properties of Similarity
Dilation
Ratio and Proportion
Dilation 2
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
The following fractions are equivalent. True or False?
What is true?
100
When the scale factor K > 1, the figure becomes ______
What is bigger, enlarged, increased in size etc.?
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.
What is A?
200
When I dilate a figure, the resulting figure is always _________
What is Similar?
200
Solve the proportion:
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.?
300
Which property states the following?
"If △ABC is similar to △DEF then △DEF is similar to △ABC."
What is Symmetric Property?
300
If I dilate a figure, the corresponding angles of the figure are _________
What is congruent?
300
Solve the proportion:
What is 4.2?
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)?
400
Which property states the following?
"If △ABC is similar to △DEF and △DEF is similar to △XYZ, then △ABC is similar to △XYZ".
What is transitive property?
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
Solve for x.
What is 6?
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)?
500
Which property can we use to prove similarity for the triangles below. Also write a similarity statement using the property.
What is symmetric property?
△ABC~△A'B'C' then △A'B'C'~△ABC
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
Gabriella bought three cantaloupes for $7. How many cantaloupes can Shayna buy if she has $21?
What is 9?
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)?