contestada

Polygon ABCDE is the first in a pattern for a high school art project. The polygon is transformed so that the image of A' is at (−4, 2) and the image of D' is at (−2, 1). Which transformation can be used to show that ABCDE and its image are congruent?

A. Rotate ABCDE 90° counterclockwise.
B. Translate ABCDE left 4 units and down 2 units.
C. Reflect ABCDE over the y-axis.
D. Rotate ABCDE 90° clockwise.

Polygon ABCDE is the first in a pattern for a high school art project The polygon is transformed so that the image of A is at 4 2 and the image of D is at 2 1 W class=

Respuesta :

kudzordzifrancis

ANSWER

A. Rotate ABCDE 90° counterclockwise.

EXPLANATION

When we rotate a point through 90° counterclockwise, the mapping is

[tex](x,y)\to (-y,x)[/tex]

The coordinates of A are (2,4) and the coordinates of A' are (-4,2)

The coordinates of D are (1,2) and the coordinates of D' are (-2,1).

We can observe that the x and y coordinates swapped position and the first coordinate was then negated.

This is a 90° counterclockwise rotation about the origin.

Since rotation is a rigid motion the two shapes are congruent.

The correct answer is

A. Rotate ABCDE 90° counterclockwise.

Answer:

A. Rotate ABCDE 90° counterclockwise.

Step-by-step explanation:

Otras preguntas