Dilations
Triangle Diagrams
Lines & Angles
Similarity
Pythagorean Theorem
100
Figure G' is a dilation of Figure G by a scale factor of 2. What is the scale factor of dilation?
Point B
100
What is the measure of AB?
15 units
100
What is the measure of Angle A'B'C'?
40 degrees
100
What is the symbol for similarity?
~
100
A right triangle has legs measuring 3 units and 7 units. What is the length of the hypotenuse?
7.6 units
200
If the value of x is 6, what is the value of y?
4.5
200
Triangle DEF was formed by connecting the midpoints of ABC. What is the length of AB?
6 units
200
Angle ABC is dilated using center P and scale factor 1/3. If Angle ABC is 21 degrees, what is the measure of Angle A'B'C'?
21 degrees
200
Complete the similarity statement:
Triangle ABC ~ Triangle ____
DEF
200
A right triangle has a hypotenuse of 13.3 units and a leg of 9.7 units. What is the length of the other leg?
9.1 units.
300
Figure A'B'C'D'E' is a dilation of ABCDE using center F. What is the scale factor?
5/3 or 1.666666...
300
If AB is 12, what is the length of A'B'?
8 units
300
Triangles ABC and DFE are similar. Find the measure of angle E.
36 degrees
300
Explain why Triangles CED and CBA are similar.
All pairs of corresponding angles are congruent.
300
Does a triangle with lengths 6, 9, and 12 form a right triangle?
No
400
Explain why a dilation cannot occur between these two figures.
The scale factor between VZ and AE are different from the relationship between all the other pairs of corresponding sides.
400
What is the length of DB?
3 units
400
Name 3 lines that are a dilation of m in the image.
m, n, p
400
What information is required to prove two triangles are similar?
Two pairs of corresponding angles need to be congruent.
400
Can you determine the length of side BC?
No, because we don't know if it is a right triangle.
500
What is the length of DF?
24 units
500
Which two triangles are similar to ABC?
ACD and CBD
500
Triangle ADC was formed by connecting the midpoints of the sides of Triangle EBF. Explain why Angle CAD is congruent to Angle BCA.
The alternate interior angles theorem.
500
What is the definition of similarity?
A sequence of rigid transformations AND dilations take one figure to another.
500
Solve the following equation for b (isolate b on one side of the equals sign):
a^2 + b^2 = c^2
b = sqrt(c^2-a^2)