1. Minh asks Marco to duplicate a graphic she has on her restaurant’s ceiling. The ceiling is covered with 1 ft by 1 ft tiles. A chandelier hangs in the center of the ceiling. The graphic Minh painted on the ceiling is a pentagon. Assuming that the chandelier is located at , the pentagon’s coordinates are A (-8,1) B (-9,3) C (-6,2) D (-3,5) E (-4,1 Minh wants to have the same graphic design duplicated in another location on the ceiling. She is considering four ideas. (a) reflecting pentagon over the y-axis a. Graph new pentagon when pentagon is reflected over the y-axis. What are the coordinates of pentagon ? b. Write a math rule or explanation using words that describe a reflection of over the y-axis. c. Using this rule, where would be located if reflected over the y-axis? (b) rotating pentagon 90° clockwise about the origin a. Graph the new pentagon when pentagon is rotated 90° clockwise about the origin. What

Question

Answer:

b] The rule represents the reflection over y-axis is given by:
(x,y)⇒(-x,y)

c]Using this rule, the image would be located onto the pre-image when reflected again. This implies that it will be mapped onto the original point.

d] When the new pentagon is rotated 90° clockwise, the new coordinates will be as follows:
the rule for this rotation is given by:
(x,y)⇒(-y,x)
thus using the above rule new coordinates will be:
A"(-1,8), B"(-3,9), C"(-2,6), D"(-5,3) and E"(-1,4). The new figure is shown in the graph.

solved

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