(3 pts.) Write the ordered pairs for the following image points of point P after a given transformation. You can use the coordinate plane to the right to help you. a. Let point P be located at (-3, 4). What is the ordered pair of P', where P' is the image of P after a translation of 1 unit to the left and 5 units down? 2 y 4- 3 2 1 b. Let point P be located at (-3, 4). What is the ordered pair of P", where P" is the image of P after a reflection about the x-axis? 3 -2 -1 c. Let point P be located at (-3, 4). What is the ordered pair of P'", where P'" is the image of P after a rotation of 90° cw about the origin? -N 10 1 1- 2 3 -4- 5 3 4 60 5 ++x Use your illustration for part a below to answer part b: a. (2 pts.) Draw an example of a 2-dimensional shape that has exactly two rotational symmetries. b. (3 pts.) One of your eight-grade students claims that the shape you drew in #2 (part a) has a rotational symmetry when rotated 90 degrees cw about its center because "after the rotation, the shape has not changed size". Is this reasoning valid? Briefly explain why or why not. (2 pts.) True or False: An equilateral quadrilateral is guaranteed to have 4 reflective symmetries. Provide a visual to support your answer.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter86: Bcd (binary Coded Decimal) Numeration Systems
Section: Chapter Questions
Problem 4A
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Question
(3 pts.) Write the ordered pairs for the following image points of point P after a given
transformation. You can use the coordinate plane to the right to help you.
a. Let point P be located at (-3, 4). What is
the ordered pair of P', where P' is the image
of P after a translation of 1 unit to the left
and 5 units down?
2
y
4-
3
2
1
b. Let point P be located at (-3, 4). What is the
ordered pair of P", where P" is the image of
P after a reflection about the x-axis?
3 -2 -1
c. Let point P be located at (-3, 4). What is the
ordered pair of P'", where P'" is the image
of P after a rotation of 90° cw about the origin?
-N
10
1
1-
2
3
-4-
5
3 4
60
5
++x
Transcribed Image Text:(3 pts.) Write the ordered pairs for the following image points of point P after a given transformation. You can use the coordinate plane to the right to help you. a. Let point P be located at (-3, 4). What is the ordered pair of P', where P' is the image of P after a translation of 1 unit to the left and 5 units down? 2 y 4- 3 2 1 b. Let point P be located at (-3, 4). What is the ordered pair of P", where P" is the image of P after a reflection about the x-axis? 3 -2 -1 c. Let point P be located at (-3, 4). What is the ordered pair of P'", where P'" is the image of P after a rotation of 90° cw about the origin? -N 10 1 1- 2 3 -4- 5 3 4 60 5 ++x
Use your illustration for part a below to answer part b:
a. (2 pts.) Draw an example of a 2-dimensional shape that has exactly two
rotational symmetries.
b. (3 pts.) One of your eight-grade students claims that the shape you drew in #2
(part a) has a rotational symmetry when rotated 90 degrees cw about its center
because "after the rotation, the shape has not changed size". Is this reasoning
valid? Briefly explain why or why not.
(2 pts.) True or False: An equilateral quadrilateral is guaranteed to have 4 reflective
symmetries. Provide a visual to support your answer.
Transcribed Image Text:Use your illustration for part a below to answer part b: a. (2 pts.) Draw an example of a 2-dimensional shape that has exactly two rotational symmetries. b. (3 pts.) One of your eight-grade students claims that the shape you drew in #2 (part a) has a rotational symmetry when rotated 90 degrees cw about its center because "after the rotation, the shape has not changed size". Is this reasoning valid? Briefly explain why or why not. (2 pts.) True or False: An equilateral quadrilateral is guaranteed to have 4 reflective symmetries. Provide a visual to support your answer.
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