Dilations
Proving Triangles Similar
Proportionals in Triangles
Mixed Bag
100
What does the letter k represent?
scale factor
100
If two angles in one triangle are congruent to two angles in another triangle, then the two triangles are similar by what theorem?
AA Similarity
100
(BE)/(EC)=?/(FC)
DF
100
True or false: The Triangle Proportionality Theorem (Side-Splitter theorem) can be applied to any number of parallel lines and transversals.
True
200
What is the scale factor need to be for a reduction?
k less than 1
200
These triangles are similar by ____. Justify your answer.
SAS
200
(EC)/(CB)=(FC)/?
DC
200
Find a.
a=12
300
The coordinates for A' after the dilation of 2 for the point A (-3, 1)?
A'(-6, 2)
300
If the corresponding sides of two triangles are proportional, then the two triangles are similar by what theorem?
SSS Similarity Theorem
300
(DB)/?=(BC)/(EC)
FE
300
Suppose △ABC ~ △JKL. What side is proportional to side JL?
side AC
400
Scale factor for the dilation from ABC to XZY?
4/3
400
These triangles are similar by ____.
Justify your answer.
AA
400
Find y.
y=5
400
Suppose △ABC ~ △JKL. What angle is congruent to ∠K?
∠B
500
How does a dilation affect the side lengths and the angle measures of a figure?
corresponding side lengths are proportional and corresponding angles are congruent
500
What Theorems would you need to use to prove the 2 triangles are similar by AA similarity?
Reflexive Property of Congruence and Corresponding Angles Theorem
500
Find x.
x=6
500
Find b.
b=30