Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Get immediate and reliable answers to your questions from a community of experienced professionals on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
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)
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.