Question

which sequence of transformations can be used to show that triangle j is congruent to triangle p? a reflection across a horizontal line followed by a 180° clockwise rotation a reflection across a vertical line followed by a 180° clockwise rotation a reflection across a horizontal line followed by a 90° clockwise rotation a reflection across a vertical line followed by a 90° clockwise rotation

Explanation:

Step1: Analyze reflection - vertical case

A reflection across a vertical line flips the triangle left - right.

Step2: Analyze 90° clockwise rotation

A 90° clockwise rotation changes the orientation in a specific way. If we first reflect across a vertical line and then rotate 90° clockwise, we can match the orientation of triangle J to triangle P.

Step3: Analyze other options

• A reflection across a horizontal line followed by a 180° clockwise rotation will not match the orientation.
• A reflection across a vertical line followed by a 180° clockwise rotation will not match.
• A reflection across a horizontal line followed by a 90° clockwise rotation will not match.

Answer:

A reflection across a vertical line followed by a 90° clockwise rotation