Unit 7 lesson 17
1. True or false: A rigid motion is a transformation that preserves orientation and location but not necessarily shape or size.
A. This statement is false. A rigid motion is any kind of transformation.
B. This statement is false. A rigid motion is a transformation that preserves shape and size but not necessarily orientation or location.
C. This statement is true.
D. This statement is false. A rigid motion is a transformation that preserves orientation, location, shape, and size.
2. True or false: The mapping for a reflection of point (a,b) about the line y=−x is (−a,b)
A. This statement is false. The mapping for a reflection of point (a,b) about the line y=−x is (b,a).
B. This statement is true
C. This statement is false. The mapping for a reflection of point (a,b) about the line y=−x is (−b,−a).
D. This statement is false. The mapping for a reflection of point (a,b) about the line y=−x is (a,−b)
3. A pre-image point A(2,−6) is reflected about the line y=x. What are the coordinates for the image point A′?
A. (6,−2)
B. (−6,2)
C. (2,6)
D. (−2,−6)
4. A pre-image point A(−5,3) is reflected about the line y=−x. What are the coordinates for the image point A′?
A. (3,−5)
B. (−5,−3)
C. (−3,5)
D. (5,3)
5. A triangle with vertices A(−2,3), B(4,3), and C(3,−1) is reflected about the line y=−x to produce the image triangle A′B′C′. Which image vertex is farthest to the right after the reflection?
1. A’
2. B’
3. C’
3. A′ and B′ are the same distance farther to the right than C′.
answer all of them
1. The correct answer is B. This statement is false. A rigid motion is a transformation that preserves shape and size but not necessarily orientation or location.
2. The correct answer is A. This statement is false. The mapping for a reflection of point (a,b) about the line y = -x is (b,a).
3. The correct answer is B. The coordinates for the image point A' are (-6,2).
4. The correct answer is C. The coordinates for the image point A' are (-3,5).
5. The correct answer is 2. B' is the vertex farthest to the right after the reflection.
1. B. This statement is false. A rigid motion is a transformation that preserves shape and size but not necessarily orientation or location.
2. C. This statement is false. The mapping for a reflection of point (a,b) about the line y=-x is (-b,-a).
3. C. (2, 6)
4. D. (5, 3)
5. A. A'