4.1 and 4.2 Vector and Transformation Quiz

What is the component form of vector (PQ) as shown in the diagram?

• (3, 4)

• (4, 3)

• (5, 3)

• (3, 5)

Which of the following statements correctly defines a vector?

• A quantity that has magnitude or size, but no direction

• A quantity that has direction, but no magnitude or size

• A quantity that has both direction and magnitude or size, and is represented in the coordinate plane by a point

• A quantity that has both direction and magnitude or size, and is represented in the coordinate plane by an arrow drawn from one point to another

What is a translation in the context of transformations?

• A function that rotates every point of a figure through the same angle around a point

• A function that moves every point of a figure the same distance in the same direction

• A function that stretches or compresses a figure along a given direction

• A function that reflects every point of a figure across a specified axis

Which of the following is true for the colinear points M, P and P' if PM = MP'?

• P and P' are the same point

• P and P' are collinear with the origin

• P and P' are not coplanar with M

• P' is the reflection of P over a line through M.

What is the translation vector used to translate quadrilateral DEFG to its image here?

• (-3, -1)

• (-1, 3)

• (3, -2)

• (-3, 2)

What is the rule for translating point P to point P'?

• (x, y) → (x + 4, y )

• (x, y) → (x - 4, y )

• (x, y) → (x + 4, y - 1)

• (x, y) → (x - 4, y - 1)

Using the translation vector (-5, -1), what are the coordinates of the image of point A(4, 3)?

• A'(5, 2)

• A'(-5, 2)

• A'(-1, 2)

• A'(-5, -4)

If the vertices of quadrilateral LMN are L(2, 2), M(5, 3), and N(9, 1), what is the location of L' after translating LMN using the vector (-2, 6)?

• L(0, 8)

• L(4, 8)

• L(4, 5)

• L(0, -4)

What is another name for a rigid motion in geometry?

• Isometry

• Symmetry

• Homothety

• Similarity

According to the Translation Postulate, which of the following is true about a translation?

• It does not preserve length and angle measure.

• It is not a rigid motion.

• It maps lines to rays.

• It is a rigid motion.