Dilations
Similar Figures
Solving for Missing Angles/ Sides
100
Dilate point P (2,4) by a scale factor of 1.5.
(3,6)
100
IN SIMILAR FIGURES
All the corresponding angles are ___________________
All the corresponding sides are ___________________
congruent
scaled/ similar/ proportion
100
ABC is similar to RST. Determine the value of t.
15
200
Dilate figure ABCD by 2.
Ms. Stevens Does
A' (4,0)
B' (0, -4)
C' (-4, 2)
D' (2,4)
200
Write the similarity statement for the following figures:
TUV ~ CED
200
Solve the proportion
5 = x
4 12
x = 15
300
Dilate triangle HIJ below about the origin by a factor of 5/4. Name the image H’I’J’
Ms. Stevens Does Out
H' (0, -10)
I' (10,-5)
J' (-5,10)
300
Assume ABCD ~ AEFG
a)
b)
<F
<ABC
300
Assume ABC ~ XYZ. Solve for x.
22.5
400
Graph the dilation of ΔABC with vertices A(-4, -6), B(3, -6), and C(-2, -1) with a scale factor of 2 and a center of dilation at (-4, -9)
Ms. Stevens Does
A' (-4, -3)
B' (10, -3)
C' (0, 7)
400
Is △MNO ~ △JKL? Write a complete sentence, including mathematical evidence, to support your answer.
no, the scale factor between KL to NO is .8 while the scale factor from JK to MN is .75
400
△ABE ~ △CDE. Determine the length of side DE.
3
500
Graph the dilation of ΔJKL with vertices J(3, 3),
K(0, -3), and
L(-3, 0) with a scale factor of ⅓ and a dilation centered at (0, 6).
Ms. Stevens Does
J' (1,5)
K' (0,3)
L' (-1,4)
500
Determine the scale factor of the dilation
5/2 or 2.5
500
In the diagram, △GHI ~ △ZXY. Find the measure of angle I. REMEMBER ALL TRIANGLES ADD TO 180! Show your work or explain your answer.
x = 16.5
<I = 68 degrees