Knowee
Questions
Features
Study Tools

In the coordinate plane, R'S' is the image of RS after a dilation with a scale factor of 1.2 centered at (0,–6). R'S' has endpoints R'(–6,–1) and S'(6,8).What is the length of RS?Write your answer as a whole number or decimal rounded to the nearest tenth.

Question

In the coordinate plane, R'S' is the image of RS after a dilation with a scale factor of 1.2 centered at (0,–6). R'S' has endpoints R'(–6,–1) and S'(6,8).What is the length of RS?Write your answer as a whole number or decimal rounded to the nearest tenth.

🧐 Not the exact question you are looking for?Go ask a question

Solution

To find the length of RS, we first need to find the length of R'S'. The length of a line segment in a coordinate plane can be found using the distance formula, which is derived from the Pythagorean theorem:

Distance = sqrt[(x2-x1)² + (y2-y1)²]

Here, the coordinates of R' are (-6, -1) and the coordinates of S' are (6, 8).

So, the length of R'S' = sqrt[(6 - (-6))² + (8 - (-1))²] = sqrt[(12)² + (9)²] = sqrt[144 + 81] = sqrt[225] = 15.

Since R'S' is the image of RS after a dilation with a scale factor of 1.2, the length of RS is the length of R'S' divided by the scale factor.

So, the length of RS = 15 / 1.2 = 12.5.

Rounded to the nearest tenth, the length of RS is 12.5.

This problem has been solved

Similar Questions

In the coordinate plane, the length of YZ is 12 units. YZ was dilated by a scale factor of 0.2 centered at the origin to create Y'Z'.What is the length of Y'Z'?Write your answer as a whole number or decimal. Do not round.

Parallelogram Q'R'S'T' is the image of parallelogram QRST after a dilation with a scale factor of 23. Parallelogram Q'R'S'T' is shown on the graph below.-10-9-8-7-6-5-4-3-2-112345678910-10-9-8-7-6-5-4-3-2-112345678910xyQ'R'S'T'What is the perimeter of QRST?

In the coordinate plane, △J'K'L' is the image of △JKL after a dilation with a scale factor of 0.75 centered at (4,4). The perimeter of △JKL is 35 units.What is the perimeter of △J'K'L'?Write your answer as a whole number or decimal. Do not round. units

TU passes through the points T(0,6) and U(4,3). T'U' is the image of TU after a dilation with a scale factor of 72 centered at (–4,9).Which of these points lie on T'U'? Select all that apply.

In the coordinate plane, T'U'V'W' is the image of rectangle TUVW after a dilation with a scale factor of 43 centered at the origin. The perimeter of TUVW is 12 units.What is the perimeter of T'U'V'W'?Write your answer as a whole number or decimal. Do not round. units

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.