Dilations
Congruent or Similar
Angle Relationships
One Solution, NO Solution or Infinitely Many Solutions
Solving Equations with Decimals and Fractions
100
A scale factor of 6/7. Is an enlargement or reduction or neither?
reduction: any number less than 1 is a reduction.
100
Congruent or Similar Shapes?
Similar
100
What is angle a's measurement?
a = 48 degrees
100
2x = 2x +3
No Solution
100
.5x-1=9
x=20
200
If A is (0,3) and A' is (0,33), what is the scale factor?
scale factor of 11
200
If you translate a shape 3 to the left and reflect it over the x axis, is this shape congruent or similar?
Congruent
200
What is angle d's measurement?
d = 48 degrees
200
-3x+4 = 3x +4
One Solution
200
3/4x+3=6
x=4
300
True of False: The angles of a dilation are congruent.
True, this keeps the same shape!
300
If I dilate the shape by 2/3 and rotate it 270 degrees is this shape congruent or similar?
Similar
300
What do these two angles add up to?
These angles are supplementary, they equal 180.
300
-4(v + 3) = -12 - 4v
Infinitely many solutions
300
0.4x – 1.2 = 0.15x + 0.8
x=8
400
If you dilate the point (-3,6) by 2 what would the new point be.
(-6,12)
400
If I dilate a shape by a scale factor of 1 is this shape congruent or similar?
Congruent: multiplying by 1 does not change the size!
400
What is angle c?
53 + c = 180, so c = 127
400
-2(v - 2) = -3 - 2v
No solution, Variables match, Constants do not!
400
1/2( x + 2/3) = 3(x – 1)
x=4/3
500
IF you dilate the points (2,0) (-2,6) and (4,-4) with a scale factor of 1/2
(1,0) (-1,3) (2,-2)
500
If we shrink a shape by 1/2 and then grow a shape by 2, is this shape similar or congruent?
Congruent, multiplying by 1/2 will shrink by a half and then multiplying by 2 will bring it back to the original size.
500
What is the measurement of angle b?
b = 53 degrees
500
-14 - 8x = -2(-3x + 7)
One Solution
500
0.2(3y – 5) = 0.15(2y + 3) – 0.85
y=2