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Shape P is reflected in x = -1 to give P'.
a) What are the coordinates of A'?
Then P' is translated by (6)
b) What are the coordinates of A"?

Shape P Is Reflected In X 1 To Give P A What Are The Coordinates Of A Then P Is Translated By 6 B What Are The Coordinates Of A class=

Sagot :

Answer:

a)  A' = (2, 4)

b)  A'' = (1, -2)

Step-by-step explanation:

When reflecting a shape in a vertical line, each vertex of the shape will be the same distance from the vertical line but in the opposite direction.  

Therefore, the x-values change but the y-values remain the same.

Part (a)

To reflect point A in x = -1, determine the number of horizontal units the point is from x = -1.  Count the same number of units on the other side of the vertical line (remembering that the y-value remains unchanged).

The x-value of point A is x = -4.  This is 3 units to the left of x = -1.

Therefore, the x-value of point A' is 3 units to the right of x = -1.

The y-value of point A is y = 4, so the y-value of point A' is also y = 4.

Therefore, the coordinates of the point A' are:

  • A' = (2, 4)

Part (b)

To translate point A' by the given vector, translate the point:

  • 1 unit to the left.
  • 6 units down.

Therefore, the coordinates of the point A'' are:

  • A'' = (2-1, 4-6) = (1, -2)
View image semsee45

Answer:

-5

-9+5

Step-by-step explanation: