Which sequence of transformations performed on shape I confirms the congruence of shape II and shape I?
2 answers:
Answer:
Option D. a 180° rotation about the origin and then a translation left 8 units.
Step-by-step explanation:
See the attached figure_1
From the graph: Point A'(-12,-6) is the image of point A(4,6)
We will check which sequence of transformations is true:
A. a reflection across the y-axis and then a translation down 16 units
A(4,6) ⇒(-4,6)⇒(-4,-10) <u> (Wrong sequence)</u>
B. a 90° counterclockwise rotation about the origin and then a translation down 8 units
A(4,6) ⇒(-6,4)⇒(-6,-4) <u>(Wrong sequence)</u>
C. a 90° clockwise rotation about the origin and then a translation left 16 units
A(4,6) ⇒(6,-4)⇒(-10,-4) <u>(Wrong sequence)</u>
D. a 180° rotation about the origin and then a translation left 8 units
A(4,6) ⇒(-4,-6)⇒(-12,-6)A' <u>(True sequence)</u>
<u></u>
Note: the rules is the attached figure_2
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Answer:
J'(-2,5)
K'(-7,5)
M'(-3.5,2)
L'(5.5,2)
Step-by-step explanation:
Please refer to the image attached to this answer.
Trapezoid JKLM is reflected over the x-axis, what do we notice about the ordered pairs of the original figure and the ordered pairs of its reflection over the x-axis is described below.
Point J , K L and M , when reflected over x axis , there distance from the y axis remains the same in second quadrant. the x coordinate becomes negative however the y coordinates remains the same.
The coordinates will be as shown in the image attached.
