Problem Set A
1) Draw the reflection of ∆ABC over line n. Correctly label the image points: A’, B’, C’.
2) Rotate ∆EFG 110° counter-clockwise about point F. Correctly label the image points: E’, F’, G’.
3) Line n and line m are parallel (both lines will never intersect when extended infinitely). Draw the reflection of ∆XYZ over line n. Label the image ∆X’Y’Z’.
Then draw a second reflection of ∆X’Y’Z’ over line m. Label the second image ∆X’’Y’’Z’’ (pronounced X double-prime)
Now compare ∆XYZ and ∆X’’Y’’Z’’. What single transformation of ∆XYZ would result in ∆X’’Y’’Z’’ ?
4) a) First, explain in words how to find the line of reflection between a pre-image and its image.
b) Accurately find the line of reflection in the figure below.
Problem Set B
5) Given the point A(-4,6). Find the coordinates of A’ when A is reflected over the line y = -3.
6) Given ∆MNP with M(-5,0), N(-8,0), and P(-7,3). Find the coordinates of ∆M’N’P’ when ∆MNP is rotated 90° clockwise about the origin.
7) The phrases “MY MOM WOW AT MATH”, “MOW NOON MOW”, and “BOB KICKED EDDIE HE DID” each have a certain type of symmetry. Classify each phrase with its correct type. (hint: one phrase needs to be rewritten with a different orientation.)
