Dilations
Similarity
Slope
100
A dilation means to _________ or __________ the size of the figure.
enlarge or reduce
100
Two figures who have the same _________ but different _________ are similar.
1. shape
2. size
100
Find the slope of the line.
slope = 2/3
200
Here is Triangle ABC. Dilate Triangle ABC using a scale factor of 3. (Make sure to draw the new triangle with the new side lengths!!)
A Triangle with side lengths 9, 12 and 15
200
Triangles ABC and DEF are similar. Find the length of segment CA and segment DE.
CA = 6, DE = 6
200
An equation for a line is
(y-4)/(x-2)=3
Is the point (38,112) on the line?
Yes!
300
Here is Triangle ABC. Dilate Triangle ABC using a scale factor of 1/4. (Make sure to draw the new triangle with the new side lengths!!)
A triangle with side lengths 3,6 and 8.75
300
Edwardo’s teacher asked him to draw a triangle similar to triangle ABC. Here is his work. Did Edwardo correctly draw a similar rectangle? Explain how you know.
Yes, Edwardo did draw it correctly. Translate Triangle ABC 5 units to the right and 1 unit down (or up) and then dilate Triangle ABC with a scale factor of 2 to get to Triangle DEF.
300
Select all lines that have a slope of 5/2.
A and E
400
Select all the true statements.
A. Dilation of a triangle by scale factor 1/2 results in a triangle that is congruent to the original triangle.
B. Dilations of a triangle are similar to the original triangle.
C. Dilations of a point will lie on the same line as the point and the center of dilation.
D. Dilations of a polygon increase the measure of corresponding angles.
E. Dilations of a polygon result in congruent corresponding angles.
F. Dilations of a polygon increase the measure of corresponding angles.
B,C, E, and F
400
Which pair of triangles must be similar?
A. Triangle 1 has a 50∘ angle and a 45∘ angle. Triangle 2 has a 50∘ angle and a 105∘ angle.
B. Triangle 3 has a 30∘ angle and an 70∘ angle. Triangle 4 has a 25∘ angle and an 75∘ angle.
C. Triangles 5 and 6 are both right triangles. Triangle 5 has a 70∘ angle and Triangle 6 has a 20∘ angle.
D. Triangles 7 and 8 each have a 35∘ angle.
C
400
Here is a line graphed on a coordinate plane. Write an equation for the line.
(y-7)/(x-7)=2
(y-3)/(x-5)=2