True or False: Angle 1 and Angle 4 are congruent.
True. They are congruent because they are vertical angles.
How does Triangle ABC Transform to Triangle A'B'C'?
There is a translation 9 units to the left and 9 units down.
A parallelogram with coordinates A (-2,3), B (3,3), C(4,6), and D(-1,6) is first rotated 90 degrees clockwise and then translated 4 units left and 2 units down to form quadrilateral A'B'C'D'. Are quadrilaterals ABCD and A'B'C'D' congruent?
Yes, the two quadrilaterals are congruent.
Based on these side lengths, are the two triangles similar?
No, they are not similar. 4 : 20 is not equivalent to 5 : 16
What are the two types of dilations?
Enlargement and Reduction.
True or false: The angle measurements for y and 5x are congruent because they are supplementary angles.
False
What type of transformation has happened?
A rotation 90 degrees clockwise.
Triangle ABC, A(5,5), B(1,3), and C(1,7), is translated down 7 units to form triangle A' B' and C'. Select True or false for each statement.
Side A'B' is longer than side AB --------> False
Triangle ABC and Triangle A'B'C' are similar and congruent -------> True
Triangle ABC and Triangle A'B'C are similar but not congruent -----> False
Based on the side lengths, are these two triangles similar?
Yes, they are similar.
3 : 2 is equivalent to 4.5 : 3
If a scale factor is less than 1, what type of dilation will happen?
There will be a reduction.
Which three angles have the same measurement as angle 1?
Angle 4, Angle 5, and Angle 8 have the same measurement as Angle 1.
Triangle A has a single transformation performed on it. Michelle says that the single transformation was a translation of 8 units to the right. What other single transformation could this represent?
A reflection over the y-axis.
What are the 4 types of transformations and how do they change the shape?
Translation = Slide
Reflection = Flip
Rotation = Turn
Dilation = Grow or Shrink
Triangle KLO and Triangle MNO are similar. Given this information, what is the measurement for side u?
6 meters
What is the scale factor of this dilation?
The scale factor is 2.
What are the measurements for angle 2, angle 7, and angle 8?
angle 2 = 127 degrees
angle 7 = 127 degrees
angle 8 = 53 degrees
What two transformations are happening?
There is a reflection over the y-axis and then a reflection over the x-axis.
Given this transformation, will the two shapes be congruent? Why or why not?
No, they will not be congruent because the dilation will change the size.
Quadrilateral MNOP is rotated 90 degrees clockwise and translated 6 units down. Which side length is equal to side MP?
Side r is equal to side MP.
Triangle ABC is dilated by a scale factor of 3 to form triangle A'B'C'. What will be the length of side A'B'?
Side A'B' will be 12 units long.
Angle y and 2(x+6) are corresponding angles. Angle y and 5x are supplementary. If the measurement for angle y equals 60 degrees, solve for x.
x = 24
How is Image D transforming?
First, there is a reflection over the x-axis. Then there is a translation 3 units to the right and 4 units up.
Triangle DEF is translated down 9 units and then reflected across the y-axis. Which side length is equal to side FE?
Side x is equal to side FE.
What is the scale factor going from quadrilateral ABCD to quadrilateral A'B'C'D'?
The scale factor is 1/2.