Chapter 14 by Isela Perez

#1

perez61902 — 2017-03-03 03:10:16 UTC

A triangle with vertices (-4,6) (9,-3) (7,15) is reflected over the line y=x, followed by a rotation of 90 degrees clockwise around the origin. What are the new vertices?
New Vertices: (-4,-6) (9,3) (7,-15)
Step 1: Draw reflection line of y=x
Step 2: Reflect original triangle with the rule for y=x
Step 3: Rotate the figure 90 degrees clockwise

Q1: Are the figures supposed to be rotated clockwise or counterclockwise?
Q2: What is the rule for rotating 90 degrees?
Q3: What is the rule for reflecting at y=x?

#2

perez61902 — 2017-03-03 03:22:27 UTC

A pentagon with vertices (6,4) (-7,9) (-8,-3) (5,-10) (8,0) translated <6,8> and reflected over the x-axis.
New Vertices: (12,12) (-1,17) (-2,5) (11-2) (14,8)
Step 1: Translate the original figure 6 units to the right the eight units up
Step 2: Reflect over the x-axis

Q1: What is <6,8> called?
Q2: What is the rule for reflecting over the x-axis?

#3

perez61902 — 2017-03-03 03:27:59 UTC

A parallelogram with vertices (1,1) (3,5) (7,5) (4,1) is reflected over the line y=-4 followed by a reflection over the line x=6
Step 1: Draw reflection line y=-4
Step 2: Reflect original image
Step 3: Draw reflection line x=6
Step 4: Reflect the parallelogram and that is the image

Q1: Is it important draw both reflection lines?

#4

perez61902 — 2017-03-03 03:29:35 UTC

Triangle 1's vertices are (1,2) (4,9) (-5,7) and triangle 2's vertices are (-2,1) (-9,4) (-7,-5). What transformation(s) occurred?
Rotating 90 degrees clockwise
Step 1: Plot triangle one on the graph
Step 2: Plot triangle two on the graph
Step 3: The outcome was that the transformation that happened was a rotation of 90 degrees clockwise

Q1: Are there any other transformations that occurred that we missed?
Q2: Are there similarites between the two triangles?

#5

perez61902 — 2017-03-03 03:36:31 UTC

Square one has vertices (1,1) (1,5) (6,5) (6,1). Square 2 has vertices (-1,1) (-1,5) (-6,5) (-6,1). What transformation(s) occurred? Give two examples.
Reflection over the y-axis (Solved Mathematically)
5A: Point T(8,2) reflected over the y-axis turns into T'(-8,2)

5B: Point E(24,5) reflected over the y-axis turns into E'(-24,5)

Step 1: Wrote down points of both triangles
Step 2: The points would be reflected over the y-axis because the rule when reflecting over the y-axis is (x,y) to (-x,y)
Step 3: Provided the two examples of what reflecting over the y-axis looks like

Q1: Are there any other transformations that we missed?