To transform pentagon ABCDE to pentagon A′B′C′D′E′, we can use a combination of translations, rotations, and reflections. Here is one possible series of rigid motions:
1. Translate pentagon ABCDE 6 units to the right and 3 units down to match the position of pentagon A′B′C′D′E′.
2. Rotate the translated pentagon 180 degrees counterclockwise around the origin to match the orientation of pentagon A′B′C′D′E′.
3. Reflect the rotated pentagon across the x-axis to match the orientation of pentagon A′B′C′D′E′.
This series of rigid motions will transform pentagon ABCDE to pentagon A′B′C′D′E′.
Write a series of rigid motions that transform pentagon ABCDE to pentagon A′B′C′D′E′ .
Two pentagons are graphed on a four quadrant coordinate plane. The x-axis and the y-axis go from negative 10 to 10 in increments of 1. The first pentagon has vertices labeled A at left parenthesis negative 5 comma 1 right parenthesis, B at left parenthesis negative 6 comma 5 right parenthesis, C at left parenthesis negative 1 comma 6 right parenthesis, D at left parenthesis negative 1 comma 4 right parenthesis, and E at left parenthesis negative 2 comma 1 right parenthesis. The second pentagon has vertices labeled A prime at left parenthesis 1 comma negative 2 right parenthesis, B prime at left parenthesis 2 comma 2 right parenthesis, C prime at left parenthesis negative 3 comma 3 right parenthesis, D prime at left parenthesis negative 3 comma 1 right parenthesis, and E prime at left parenthesis negative 2 comma negative 2 right parenthesis.
(2 points)
Math Short Answer Rubric (2 points)
Points Awarded Criteria
2
The answer is correct. The student made no errors while solving.
The answer shows that the student used problem-solving skills and reasoning.
All work is shown or explained.
1
The answer is partially correct. The student made errors while solving.
The answer shows little problem-solving skills or reasoning.
Some work is shown or explained.
0 The question is not answered.
1 answer