Download 1. Use patty paper to reflect triangle MOP across line f – once you

Name: _______________________________
Date: __________________________
Learning Targets:______________________________________________________________________
______________________________________________________________________________________
Reflections Across Non Horizontal and Vertical Lines
1. Use patty paper to reflect triangle MOP across line f – once you make the reflection,
connect M to M’ using a ruler. Measure the length of the line segment from M to line f
and separately the length from M’ to line f. Label these lengths. Using a protractor,
measure the angle formed as line segment MM’ intersects line f. Repeat these steps for P
to P’.
O
f
P
M
Make an observation about line f in relation to the reflection from M to M’ and P to P’
2. Important vocabulary words: Isometry: a transformation that preserves the length of
sides (space between vertices). Rigid motion: transformation where the pre-image and
the transformed image are congruent.
Which of these new vocabulary words apply to reflections? Explain how you could prove your choice(s)
using patty paper.
3. Looking at triangle PAN, use patty paper to reflect only three characteristics about this
triangle across the line s. You may pick three sides, three angles or a combination of sides
and angles but you can copy only three parts.
A
s
P
4. Explain why you believe your three characteristics worked. Why did your features
preserve distance as the triangle moved across the line?
N
5. Using only three “key” parts of the triangle, reflect triangle LIM across line g.
g
L
I
M
6. Graph the following vertices to create a triangle, T (1, -3) R (5, -9) and Y (7, -1). Then
reflect the triangle across the line y = x
7. Graph the following vertices to create a triangle, M (2, 4) A (5, 6) T (6, 1). Then reflect
the triangle across the line y = -x
8. Using patty paper, reflect the following triangle across the line y = 2x – 6 C (0, -1)
R (-3, -4) Y (2, 4)
6. Draw the line of reflection you can use to map one figure onto the other.