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:
(4,0) and (- 2,0): Answer
Step-by-step explanation:
Absolute value questions have two essential steps.
1. Solve the equation as it is written.
2. Solve it changing the sign of the right hand side. I will include a graph to confirm my answer
4*abs(x - 1) = 12 Divide by 4
- abs(x - 1) = 12/4
- abs(x - 1) = 3 Equate this to 3
- x - 1 = 3 Add 1 to both sides
- x - 1 + 1 = 3 + 1 Combine
- x = 4
4*abs(x - 1) = - 12 Divide by 4
- abs(x - 1) = - 12/4
- abs(x - 1) = - 3
- x - 1 = - 3 Add 1 to both sides
- x - 1 + 1 = -3 + 1
- x = - 2
So this has 2 answers
(4,0) and (- 2,0)
