Rotate the point (2, 4) 90o Clockwise.
(4, -2)
Point (7, -4) after a reflection over the x axis, followed by a translation 3 units up.
(7, 7)
List each transformation that produces a congruent figure?
Rotations, Reflections, and Translations
This type of angle relationship is formed when two angles combine to a total of 180o
Supplementary Angles
The interior angles of a triangle add up to:
180o degrees
How many degrees clockwise?
270o
Translate 1 unit right, then reflect over y-axis.
C': (3, -3)
D': (1, 1)
E': (0, -3)
Find the coordinates of ∆DEF after it has been dilated with a scale factor of 2.
D': 0, 0
E': 4, 0
F': 0, 4
35o
The measure of an exterior angle of a triangle is equal to:
the sum of the measure of the two non-adjacent (remote) interior angles
"x = y + z"
The equivalent rotation to 270o Clockwise
Rotation 90o Counterclockwise
Describe a sequence of transformations that maps ∆QRS onto ∆TUV
A translation 3 units left and 4 units down, followed by a reflection across the y-axis.
A triangle with a perimeter of 27 units is rotated and reflected in the coordinate plane. What is the perimeter of the resulting image?
27 units
Solve for angle x:
Find the measure of the angle (Vertical)
Solve for x, then use it to find the measure of each angle.
x = 12
Angle: 96o
Find the measure of angle C.
C = 83.5o
Find the coordinates of ∆X'Y'Z' after a 90o rotation clockwise.
X': 3,2
Y': 4, 5
Z': 7, 2
Describe a sequence of transformations that maps rectangle WXYZ onto rectangle W'X'Y'Z'
Rotate 90o counterclockwise, translate 6 units down (or equivalent)
Figure D'E'F'G' is a dilation of figure DEFG. What is the scale factor?
4
Solve for the angle measure:
y = 27
Angle: 136o
What is the measure of the exterior angle?
112o
This is the rule for rotating a figure 270o counterclockwise.
(x, y) --> (y, -x)
What sequence of transformations maps rectangle ABCD onto rectangle A'B'C'D'?
Rotate 90o Clockwise, Reflect over y-axis, translation 6 units up, translation 6 units left (or equivalent).
What is the measure of angle ACB?
50o
Are any of the following lines (a, b, and c) parallel? How do you know?
Yes, a and c. The supplementary angle of 110o is 70o, so angle 2 is corresponding with the 70o angle at the top, making a and c parallel.
Lines a and b are parallel. What are the measures of angle 1 and angle 2?
Angle 1: 60o
Angle 2: 40o