NY-G.CO.5

GeometryCongruence60 target questions

Given a geometric figure and a rotation reflection or translation draw the transformed figure using appropriate tools. Specify a sequence of transformations that will carry a given figure onto another.

Sample Practice Questions (3)

A triangle has vertices

D (2, 3)

E (5, 1)

, and

F (4, 6)

. Its image has vertices

D^{'} (- 2, 3)

E^{'} (- 5, 1)

, and

F^{'} (- 4, 6)

. Which transformation maps

△ D E F

△ D^{'} E^{'} F^{'}

AReflection across the x-axis

BReflection across the y-axis

CRotation

9 0^{\circ}

counterclockwise about the origin

DTranslation by

(x - 4, y)

Point

A

is located at

(3, - 2)

. If point

A

is transformed using the rule

T_{(- 4, 5)}

, what are the coordinates of the image

A^{'}

(- 1, 3)

(7, - 7)

(- 1, - 7)

(7, 3)

The line segment

\overline{B C}

has endpoints

B (- 1, 4)

and

C (5, 4)

. If the segment is reflected over the

x

-axis, what are the coordinates of

B^{'}

(- 1, - 4)

(1, 4)

(1, - 4)

(- 1, 4)

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