Question

A line segment has endpoints (2,−1) and (5, −4) . What are the new endpoints after rotating the segment 90° clockwise?(1 point)
Responses

(−2, −1) and (−5, −4)
left parenthesis negative 2 comma negative 1 right parenthesis and left parenthesis negative 5 comma negative 4 right parenthesis

(−2, 1) and (−5, 4)
left parenthesis negative 2 comma 1 right parenthesis and left parenthesis negative 5 comma 4 right parenthesis

(−1, −2) and (−4, −5)
left parenthesis negative 1 comma negative 2 right parenthesis and left parenthesis negative 4 comma negative 5 right parenthesis

(2, −1) and (4, 5)

Answer 1

A rectangle has a side that is 10 units long. How long will this side be after the figure is translated down 4 units and to the right 5 units?(1 point)
units

Answer 2

Triangle XYZ is translated down 4 units and to the left 8 units. The length of side XY is 10 units. What is the length of side X′Y′ ?(1 point)
units

Answer 3

The shape of a heart is reflected across the x -axis. If the point at the bottom of the heart for the original figure is at (314,712) , what are the coordinates for the point at the bottom of the heart in the reflected image?(1 point)
(
)

Answer 4

(−2, 1) and (−5, 4)
left parenthesis negative 2 comma 1 right parenthesis and left parenthesis negative 5 comma 4 right parenthesis

Answer 5

After translating the rectangle down 4 units and to the right 5 units, the length of the side that was originally 10 units long will remain unchanged at 10 units.

Answer 6

The length of side X'Y' will still be 10 units as translation does not change the length of the sides of the triangle.

Answer 7

When a shape is reflected across the x-axis, the x-coordinate remains the same, and the y-coordinate changes sign.

So, if the original point at the bottom of the heart is (314, 712), then the point in the reflected image will be (314, -712).