GEOMETRIC TRANSFORMATIONS

TRANSLATION

100

Triangle ABC has points A(1,1), B(2,1), and C(1,3). Translate it 2 units right and 1 unit up. What are the new coordinates?

A’(3,2), B’(4,2), C’(3,4)

200

A point is at (4,5). It moves 3 units left. What’s the new coordinate?

(1,5)

300

Shape MNO: M(2,2), N(4,2), O(3,4). Move it down 3.

M’(2,-1), N’(4,-1), O’(3,1)

400

Triangle PQR has P(0,0), Q(2,0), and R(1,2). Translate it left 2 and up 4.

P’(-2,4), Q’(0,4), R’(-1,6)

500

A rectangle with corners at (1,1), (4,1), (4,3), and (1,3) is moved 5 units right and 2 units down. What are the new coordinates?

(6,-1), (9,-1), (9,1), (6,1)

REFLECTION

100

Reflect point (3,2) across the x-axis.

(3, -2)

200

Reflect (5,4) across the y-axis.

(-5, 4)

300

Triangle ABC with A(1,2), B(3,2), C(1,4) is reflected over the x-axis. What are the new coordinates?

A’(1,-2), B’(3,-2), C’(1,-4)

400

Point (–2, 5) is reflected across the y-axis. What’s the new coordinate?

(2, 5)

500

Triangle LMN with L(–3,1), M(–1,1), N(–1,4) is reflected over the y-axis.

L’(3,1), M’(1,1), N’(1,4)

ROTATION

100

Rotate point (2,3) 90° clockwise around the origin.

(3, -2)

200

Rotate point (4,1) 90° counterclockwise around the origin.

(-1,4)

300

Triangle XYZ with X(1,1), Y(3,1), Z(1,3) is rotated 90° clockwise.

X’(1,-1), Y’(1,-3), Z’(3,-1)

400

Point (–2,4) is rotated 180° around the origin.

(2, -4)

500

Triangle RST has R(2,0), S(4,0), T(2,3). Rotate it 90° counterclockwise.

R’(0,2), S’(0,4), T’(-3,2)

DILATION

100

Point (2,3) is dilated by a scale factor of 2 from the origin.

(4,6)

200

Triangle ABC with A(1,1), B(2,1), C(1,3) is dilated by ½.

A’(0.5,0.5), B’(1,0.5), C’(0.5,1.5)

300

Point (4,-2) is dilated by 3.

(12, -6)

400

Triangle DEF has D(1,1), E(3,1), F(1,4). Dilate by 2 from the origin.

D’(2,2), E’(6,2), F’(2,8)

500

Triangle GHI with G(–2,1), H(–4,1), I(–2,3) is dilated by a scale factor of 1.5.

G’(–3,1.5), H’(–6,1.5), I’(–3,4.5)