NY-G.CO.2

GeometryCongruence60 target questions

Represent transformations in the plane; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not.

Sample Practice Questions (3)

A triangle has vertices at

P (1, 3)

Q (4, 1)

, and

R (2, - 2)

. If the triangle is reflected over the y-axis, what are the coordinates of

P^{'}

P^{'} (- 1, 3)

P^{'} (1, - 3)

P^{'} (- 1, - 3)

P^{'} (3, 1)

The triangle

A B C

has vertices

A (1, 2)

B (4, 2)

, and

C (1, 6)

. If the triangle is reflected over the line

y = x

, which function represents this transformation?

f (x, y) = (x, - y)

f (x, y) = (- x, y)

f (x, y) = (y, x)

f (x, y) = (- y, - x)

A quadrilateral

A B C D

is transformed to

A^{'} B^{'} C^{'} D^{'}

. The coordinates are

A (1, 2)

B (4, 2)

C (4, 0)

D (1, 0)

and

A^{'} (- 1, 2)

B^{'} (- 4, 2)

C^{'} (- 4, 0)

D^{'} (- 1, 0)

. Which transformation rule describes this mapping?

(x, y) \to (- x, y)

(x, y) \to (x, - y)

(x, y) \to (- y, x)

(x, y) \to (x - 2, y)

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