Question

Which of these graphs shows a rotation of triangle PQR about the​ origin, (0,0)?
A
B
C
-10
-5
5
10
-10
-5
5
10
x
y
Upper PUpper QUpper RUpper P primeUpper Q primeUpper R prime



x y graph
-10
-5
5
10
-10
-5
5
10
x
y
Upper PUpper QUpper RUpper P primeUpper Q primeUpper R prime



x y graph
-10
-5
5
10
-10
-5
5
10
x
y
Upper PUpper QUpper RUpper P primeUpper Q primeUpper R prime



x y graph
Question content area bottom
Part 1
Graph
▼
A
C
B
shows a rotation of triangle PQR about the​ origin, (0,0).

Answer 1

To determine which graph shows a rotation of triangle PQR about the origin (0, 0), we need to look for the resulting positions of the points P', Q', and R' after a rotation of the triangle around this point.

When a point (x, y) is rotated counterclockwise around the origin by an angle θ, the new coordinates (x', y') are given by the following formulas:

- For a 90-degree rotation:
- (x', y') = (-y, x)

- For a 180-degree rotation:
- (x', y') = (-x, -y)

- For a 270-degree (or -90-degree) rotation:
- (x', y') = (y, -x)

You will need to compare the original coordinates of points P, Q, R with the coordinates of their respective prime points (P', Q', R') in each graph. Look for the one that matches one of the specified rotation movements.

Since I cannot see the actual graphs (A, B, C) or the coordinates, please use the descriptions above to compare to find out which graph correctly represents a rotation of triangle PQR about the origin.

If you can provide the coordinates of the points or any additional details, I'd be happy to assist further!