" Pentagon ABCDE and pentagon A’B’C’D’E’ are shown on the coordinate plane below. Which two transformations are applied to pentagon ABCDE to create A’B’C’D’E’?a. translated according to the rule (x, y) → (x + 2, y + 8) and reflected across the x-axis b. translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the x-axis c. translated according to the rule (x, y) → (x + 2, y + 8) and reflected across the y-axis d. translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the y-axis "Pentagon ABCDE and pentagon A prime B prime C prime D prime E prime on the coordinate plane with ordered pairs at A negative 4, 5, at B negative 6, 4, at C negative 5, 1, at D negative 2, 2, at E negative 2, 4, at A prime 4, negative 7, at B prime 2, negative 6, at C prime 3, negative 3, at D prime 6, negative 4, at E prime 6, negative 6.
Question
Answer:
The answer: b. translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the x-axis If you make the drawing of the situation you realize the you need a reflection through the x-axis, but first you need to translate the polygon several units to the left and upward.
You can see that all the x-coordinates have increased 8 units, so the solution has to include x + 8.
Also, you see that you have to move the polygon 2 units upward before doing the reflection so the solution has to include y + 2.
So, the answer is (x,y) ---> (x + 8, y + 2) and then reflection across the x-axis.
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10 months ago
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