Math  /  Geometry

Question2 The coordinate grid shows triangle PQRP Q R. 8.10ABD. 3
Triangle PQRP Q R is rotated 270270^{\circ} clockwise about the origin to create triangle PQRP^{\prime} Q^{\prime} R^{\prime}. Choose the correct answer from each drop-down menu to complete the statements.
The side lengths of triangle PQRP^{\prime} Q^{\prime} R^{\prime} are \square to the corresponding side lengths of triangle PQRP Q R. \checkmark equal not equal
The angle measures of triangle PQRP^{\prime} Q^{\prime} R^{\prime} are \square to the corresponding angle measures of triangle PQRP Q R. congruent not congruent 03034 N 至

Studdy Solution

STEP 1

1. Triangle PQR PQR is rotated 270 270^\circ clockwise about the origin.
2. The transformation is a rigid motion (rotation), which preserves distances and angles.

STEP 2

1. Analyze the effect of rotation on side lengths.
2. Analyze the effect of rotation on angle measures.
3. Choose the correct options from the drop-down menus.

STEP 3

Analyze the effect of rotation on side lengths:
- A rotation is a type of rigid transformation, which means it preserves the distances between points. - Therefore, the side lengths of triangle PQR P'Q'R' are equal to the corresponding side lengths of triangle PQR PQR .

STEP 4

Analyze the effect of rotation on angle measures:
- A rotation also preserves the angles between lines. - Therefore, the angle measures of triangle PQR P'Q'R' are congruent to the corresponding angle measures of triangle PQR PQR .

STEP 5

Choose the correct options from the drop-down menus:
- The side lengths of triangle PQR P'Q'R' are equal\text{equal} to the corresponding side lengths of triangle PQR PQR . - The angle measures of triangle PQR P'Q'R' are congruent\text{congruent} to the corresponding angle measures of triangle PQR PQR .

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