Explore the vertical angles below to test the vertical angle theorem.
Look at the image above
What do you notice about the measures of the RED angles and the BLUE angles?
The blue angles and the red angles always add to 180 degrees. [br]The blue angles are always equal to each other.[br]The red angles are always equal to each other.
Look at the image below and answer the question
What is the measure of angle ACD (red)? How do you know?
The red angle is 130 degrees because the red and green angles are supplementary.
Look at the image above
What are the angle measures for angles x, y, and z?
x = 57[br]y = 123[br]z = 57
What are the angle measures of angles h, j, k and m?
h = 155 (h is supplementary to 25)[br]j = 70 (j is supplementary to 110)[br]k = 110 (k is vertical to 110)[br]m = 45 (m is supplementary to 135)
Review: Sequences of Transformations
Below, practice identifying the sequences of transformations that produce the given image and preimage.
What series of transformations would take ABC to DEC?
What series of transformations take ABCD to ECGF?
Look at the image above
What series of transformations take ABCD to ECGF?
Example:[br]- Rotate ABCD 60 degrees counterclockwise around C, then translate by directed line segment from C to G.[br][br]
Review Symmetry
Review the applets below to practice identifying symmetry.
How many lines of symmetry does the "H" have? (Shape #12)
H has 2 lines of symmetry
Use the applet above to check the rotation symmetry of the shapes. What angles give rotation symmetry for image #3?
Image 3 has rotation symmetry at 120 degrees and 240 degrees.