Enlargement, Reduction or Isometric
Ratios
Dilations
Similarities using proportional parts
Solving using similarities
100
State whether the scale factor is an enlargement, reduction, or isometric: 3
Enlargement
100
Solve for the variable. Round to the nearest tenth
(x+2)/44 =68/12
x=247.3
100
Dilate the coordinates by a scale factor of 2
A (2,0)
B (0,-2)
C (-2,1)
D (1,2)
A (4,0)
B (0,-4)
C (-4,2)
D (2,4)
100
Determine whether the two triangles are similar. If so, write the similarity statement.
Yes,
triangle JKL ~ triangle QPM
100
Find the value of x
x=3
200
State whether the scale factor is an enlargement, reduction, or isometric: 1
Isometric
200
Solve for the variable. Round to the nearest tenth
m/(m-9) = 4/3
m=36
200
Dilate the coordinates by a scale factor of
1/2
A (-2,-4)
B (4,2)
C (6,-10)
A (-1,-2)
B (2,1)
C (3, -5)
200
In the diagram, the 2 triangles are similar, Find the missing value.
x= 26.25
200
Find the value of x
x=2
300
State whether the scale factor is an enlargement, reduction, or isometric:
2/5
Reduction
300
Solve for the variable. Round to the nearest tenth
(x+7)/4 =7/3
x=7/3
x=2 1/3
x=2.3
300
Dilate the coordinates by a scale factor of
1 1/2
A (-2,2)
B (-8,6)
C (4,12)
A (-3,3)
B (-12, 9)
C (6, 18)
300
If △ABC ∼ △DEF, find the perimeter of △DEF.
105 in
300
triangle EDF
XY is parallel to DF, If XY=7 ,DF=17.5 and EX=10, find ED
x=25
400
State whether the scale factor is an enlargement, reduction, or isometric:
7/9
Reduction
400
Solve for the variable. Round to the nearest tenth
7/9 = b/(b-10)
b= -35
400
The pairs of polygons below are similar. Give the scale factor of figure A to figure B
k=4
400
If triangle DEF ~ triangle HJG
the values of x and y
x=20, y=23.3
400
Find the value of x if PQ is parallel to FH
x=2
500
State whether the scale factor is an enlargement, reduction, or isometric:
5/3
Enlargement
500
Solve for the variable. Round to the nearest tenth
5/6 = (7n+9)/9
x=-9/42
x= -3/14
x= -0.2
500
The scale factor
triangle A’B’C’ to triangle ABC
k= 3
500
If triangle BNV ~ triangle BRG, BR=4x+7 and BG=18
find the value of x
x=5
500
Jake wants to estimate the height of an office building using a mirror he sees exactly in the middle of the mirror. He is 0.6 meters away and the tower is 93.2 meters away from the middle of the mirror. His eyes are 147 cm off the ground. How tall is the tower? (There are 100 cm in a meter)
228.34 meters or 22834 cm