find A' and B' if A (0,5) and B (6, −2) is reflected over the x-axis

Answer 1

To reflect a point over the x-axis, we keep the x-coordinate the same and change the sign of the y-coordinate.

Given that A(0,5) and B(6,-2) are reflected over the x-axis, A' will have the same x-coordinate, but the y-coordinate will be the opposite of 5. Therefore, A' is (0,-5).

Similarly, B' will have the same x-coordinate, but the y-coordinate will be the opposite of -2. Therefore, B' is (6,2).

Answer 2

The two triangles below are similar (but not drawn to scale). Find the value of x . Round answer to the nearest tenth.

38.8 inches,12.1 inches
21.4 inches,x
x = inches

Answer 3

To find the value of x, we can set up a proportion between the corresponding side lengths of the two similar triangles.

In the given triangles, the corresponding side lengths are 38.8 inches and 12.1 inches, and 21.4 inches and x.

So, we have the proportion:

38.8 / 12.1 = 21.4 / x

To find x, we can cross multiply and solve for x:

38.8x = 12.1 * 21.4

x = (12.1 * 21.4) / 38.8

x ≈ 6.632

Therefore, the value of x rounded to the nearest tenth is 6.6 inches.

Answer 4

What are the coordinate points for A' if A(4, 7) after being translated right 1 and up 6

Answer 5

To find the coordinate points for A' after being translated right 1 and up 6, we need to add 1 to the x-coordinate and add 6 to the y-coordinate of A.

A(4, 7) + (1, 6) = (4 + 1, 7 + 6) = (5, 13)

Therefore, the coordinate points for A' are (5, 13).

Answer 6

The hypotenuse of a triangle was 16 cm and the hypotenuse of the final triangle was 2.4 cm. What is the scale factor?

Answer 7

The scale factor can be found by dividing the length of the final hypotenuse by the length of the original hypotenuse.

Scale factor = Length of final hypotenuse / Length of original hypotenuse

Therefore, the scale factor in this case is:

Scale factor = 2.4 cm / 16 cm = 0.15

So, the scale factor is 0.15.