Transformations
A triangle has an angle measure of 50 degrees. It is rotated 90 degrees clockwise then reflected over the x-axis. What degree will the angle be after this series of transformations?
50 degrees
Angle thats are directly across from each other are called what?
Vertical Angles
180
A scale factor that is greater than 1 will do what to the pre-image?
Bigger
Is 4 a solution to 2(3x −4) +5 = 9?
What coordinate changes sign when we reflect over the y-axis?
x coordinate
Angles that are on opposite sides of the transversal, inside the parallel lines are called what? Are they congruent or supplementary?
Alternate Interior Angles
Congruent
Two opposite interior angles are 40 degrees and 70 degrees. What is the exterior angle equal to?
110 degrees
12cm
Solve: 3(4x − 1) = −2x +19 + 8x −4
What are the two steps to rotation a figure 90/270 degrees?
1. Swap x and Y
2. Apply the properties of the new quadrant
What do we mean when we say angels are supplementary?
They add to equal 180
A triangle has two known angle measures, 25 and 90. What is the third angle measures of the triangle?
65 degrees
A coordinate on a pre-image is (4,8), the pre-image is dilated by a scale factor of 1/2. What will the coordinate be after the dilation?
(2,4)
Solve the following equation:
-1/3(2r + 9) = 1 − 2r
5
What is special about translations that isn't true for rotations and reflections?
It preserves orientation
How would you describe a linear pair? And are they congruent or supplementary?
Angles right next to each other and add to euqual 180
Supplementary
Surprise! Its not a triangle question but its still worth 400 points!!
is -2 a solution to the equation -2(6x - 1) = 5x + 19
No
After a dilation has occurred, are the pre-image and image congruent or similar? How do you know?
Similar
Same shape but different size
Solve the following equation: -4 + z = -0.5(z + 17)
-3
What is also preserved in a rigid transformation? 6 things.
Size, shape, side lengths, angle measures, area and perimeter.
Are corresponding angles congruent or supplementary?
Congruent
If triangle ABC is rotated 90 degrees around point A, what do we know for sure about point A?
It stays the same
Surprise! Its not a dilation question but its still worth 500 points!
Is 4 a solution to the equation 4(x + 3) = 2x + 4?
No
Solve: 0.2(3m − 6) + m = 2
2