Similar Triangles
Proportional Relationships
Right Triangles
Similarity
Random Trivia
100
How do we know these two triangles are similar?
All their angles are congruent
100
figure ABCD ~ figure A'B'C'D'
Give me three proportional equations based on the similarity statement.
ie.
(AB)/(A'B')=(BC)/(B'C')
100
What is the length of the missing side?
10
100
How do we know when two figures are similar?
When a series of rigid motions and dilations take one figure to the other.
100
A flamboyance is a group of what animal?
Flamingos
200
Solve for x and y.
x=24/5 or 4.8
y=10
200
Solve for x.
2/x=6/18
x=6
200
If AB is length 2, what is the length of BD?
sqrt(8) or 2sqrt(2)
200
Angle ABC is taken by a dilation with center P and scale factor 13 to angle A’B’C’. The measure of angle ABC is 60 degrees. What is the measure of angle A’B’C’?
60 degrees
200
What is the official animal of Scotland?
Unicorn
300
Triangle DEF is formed by connecting the midpoints of the sides of triangle ABC. What is the perimeter of triangle ABC?
P=18
300
Solve for x.
(x+3)/2=2/4
x=-2
300
What is the length of A'B'?
7.5
300
Which of these statements is true?
a. To know whether 2 triangles are similar, it is enough to know the measure of 1 angle.
b. To know whether 2 triangles are similar, it is enough to know the length of 1 side.
c. To know whether 2 triangles are similar, it is enough to know the measure of 2 angles in each triangle.
d. To know whether 2 triangles are similar, it is enough to know the measure of 2 sides in each triangle.
C
300
What fruit is known as the “king of fruits” and is banned in many hotels and public transportation in Southeast Asia due to its strong smell?
Durian
400
Segment A'B' is parallel to segment AB. What is the length of BB'?
3.5
400
If x=6, what it y?
y=9/2 or 4.5
400
16/3
400
What is the scale factor that takes Q to P?
4/5
400
What animal's milk is pink?
Hippopotamus
500
Is line BC parallel to DE? How do you know?
They are NOT parallel because triangle ABC is not similar to triangle ADE.
500
Find the length of DF or state what additional information is needed to find it.
15/4
500
The length if segment EF is 8 units and the length of segment ED is 10 units. Find the length of FA.
FA=32/3 or 10.67
500
Line g is dilated with a center of dilation at A. The image is line f. Approximate the scale factor.
2
500
What is the name of Batman's Butler?
Alfred