Chapter 4 Because you are famous, people want to live near you. You have a new neighbor move in across the street after they build the same exact house as you did in Chapter 3. Question 7 With a different color, plot and state the points of your neighbor’s house, which is a reflection of your house in Chapter 3 over the yy -axis. Name the color you use on your graph here. Question 8 Is your new house after this transformation congruent to the house in Chapter 3? Explain your answer. Chapter 5 A tornado hit the area. It picked up your house and rotated it 180 degrees counterclockwise. Question 9 Plot and state the points of your new house from Chapter 3 after a counterclockwise rotation of 180 degrees about the origin. Use a different color to plot the points. Name the color you use on your graph here. Question 10 Is the new location of your house after this transformation congruent to the neighbor’s house in Chapter 4? Explain your answer..

Question

Chapter 4 Because you are famous, people want to live near you. You have a new neighbor move in across the street after they build the same exact house as you did in Chapter 3. Question 7 With a different color, plot and state the points of your neighbor’s house, which is a reflection of your house in Chapter 3 over the yy -axis. Name the color you use on your graph here. Question 8 Is your new house after this transformation congruent to the house in Chapter 3? Explain your answer. Chapter 5 A tornado hit the area. It picked up your house and rotated it 180 degrees counterclockwise. Question 9 Plot and state the points of your new house from Chapter 3 after a counterclockwise rotation of 180 degrees about the origin. Use a different color to plot the points. Name the color you use on your graph here. Question 10 Is the new location of your house after this transformation congruent to the neighbor’s house in Chapter 4? Explain your answer..

Answer 1

Question 7: The points of your neighbor's house, which is a reflection of your house in Chapter 3 over the yy-axis, would have the same x-values but opposite y-values. Let's say the color used to plot your house in Chapter 3 was blue. For your neighbor's house, we will use the color red.

Question 8: No, the new house after the reflection over the yy-axis is not congruent to the house in Chapter 3. Congruent figures are identical in shape and size, but a reflection changes the orientation of the figure. Therefore, the reflection of your house will have a different orientation than the original, making them non-congruent.

Question 9: After a counterclockwise rotation of 180 degrees about the origin, your new house from Chapter 3 would have its x and y coordinates switched in sign (negated). Let's use the color green to plot the points of your new house after this rotation.

Question 10: Yes, the new location of your house after the rotation of 180 degrees counterclockwise is congruent to the neighbor's house in Chapter 4. A rotation maintains the shape and orientation of a figure, so the rotated house and the reflected house are congruent.

Answer 2

state the points of your new house(−4,0), (−4,4), (−2,6), (0,4), (-4,0), (-4,4), (-2,6), (0,4), and (0,0) a counterclockwise rotation of 180 degrees about the origin. Use a different color to plot the points. Name the color you use on your graph here.

Answer 3

To represent the points of your new house after a counterclockwise rotation of 180 degrees about the origin, we will negate the x and y coordinates of each point. Let's use the color purple to plot these points.

So the points of your new house after the rotation would be:
(-(-4), -0) = (4, 0)
(-(-4), -4) = (4, 4)
(-(-2), -6) = (2, 6)
(-0, -4) = (0, 4)
(-(-4), -0) = (4, 0)
(-(-4), -4) = (4, 4)
(-(-2), -6) = (2, 6)
(-0, -4) = (0, 4)

We will plot these points in purple on the graph.