Terms
Similar Triangles
Find the Missing Side or Angle
Scale Factor
Right Triangles
100
What scale factors for the dilation would result in an image that was larger than the original figure?
Any scale factor that is larger than 1.
100
Triangle ABC is similar to triangle A'B'C. If angle B is 40 degrees. What is the measure of angle B'. 
40 degrees.
100
In triangle ABC, angle A is 35º and angle B is 20º. What is angle C?
125 degrees.
100
The triangle ABC is taken to triangle A'B'C' by a dilation. Select all of the scale factors for the dilation that would result in an image that was smaller than the original figure.
A. 1/2
B. 2
C. 1
D. 3/2
E. 8/9
A and E
100
In triangle ABC: A = 5, B = 12, C = 13. Is triangle ABC a right triangle? Explain why or why not.
Yes, because 52+122=132
200
What scale factors for the dilation would result in an image that was smaller than the original figure?
Any scale factor that is less than 1.
200
Write a similarity statement for the two triangles.
Triangle DEF is similar to triangle RST.
200
The two triangles are similar. What is the measure of angle E?
36 degrees.
200
Polygon Q is a scaled copy of polygon P. What is the scale factor?
3/4
200
In triangle DEF: D =10, E = 15, F = 20. Is triangle DEF a right triangle? Explain why or why not.
No, it is not a right triangle.
300
What is Dilation?
Dilation is a transformation that makes a figure bigger or smaller without changing the angles using a scale factor and center of dilation.
300
Is polygon WXYVZ similar to polygon ABCDE? Explain how you know.
No, because 12 divided by 2 is not 10 so VZ to AE is not a scale factor of 1/2 like the other sides.
300
Find the length of segment DF.
DF = 16 units
300
Quadrilateral A'B'C'D' is the image of quadrilateral ABCD after a dilation centered at F. What is the scale factor of this dilation?
1/2
300
What are two other triangles that are similar to triangle ABC. (order matters) 
ABC is similar to ACD and CBD.
400
What is Pythagorean Theorem and why is it used?
a2+b2=c2 It is used to find the missing side of right triangles.
400
Write a sequence of rigid transformations that takes triangle AED to triangle ABC. 
Dilate by a scale factor of 2 by point A. Then reflect over AC.
400
The two triangles are similar. Find the length of DF. 
36 units
400
Quadrilaterals P and Q are similar. What is the scale factor that takes P to Q?
5/4
400
What is the value of h?
h = 6
500
What is the definition of similarity?
Similarity is when there is a sequence of rigid transformations and dilations that takes one figure to the other. And all angles are the same.
500
Are the two triangles similar? Explain how you know.
Yes, they are similar because you know that two angles are that same that makes them similar.
500
Is DE parallel to BC? Explain how you know. 
No, they are not parallel. Because the two sides of the triangle does not have the same scale factor.
500
Are they similar? If so, what is the scale factor that takes ABC to DEF?
1.5
500
Find the length of DB. Show your work. 
2 2/3 = 2.67