Unit 2 Review

Writing Rules for Transformations

100

Triangle ABC has the coordinates A (5, 5), B (1, 3) and C (2, 1). Write a series of transformations that will map triangle ABC onto triangle DEF, whose coordinates are D (0, -5), E (-4, -3) and F (-3, -1).

1. Reflect over the x - axis 2. Translate 5 units left

200

Triangle XYZ has the coordinates X (-7, 2), Y (-7, 4) and Z (-3, 2). Write a series of transformations that will map triangle XYZ onto triangle MNO, whose coordinates are M (5, -3), N (5, -1) and O (1, -3).

1. Reflect over the y-axis 2. Translate down 5 units, and two units 2.

Rotations

100

Line segment BC has the coordinates B (-2, 3) and C (-4, -3). What are the coordinates of B’C’ after a 90 degree rotation about the origin?

B' (-3, -2) and C' (3, -4)

200

Point A, located at (5, 4), is first rotated about the point (3, 1) 90 degrees clockwise. Then, the point is translated according to the following vector: . What’s the location A’’?

(4, -4)

Reflections

100

The points A (-1, 2) and B (-3, 2) are reflected over the line X = 2. What are the coordinates of A’ and B’, and, which point “travelled” farther and WHY?

A' (5, 2) and B' (7, 2)... Point B travels farther because the point is initially father away from the line of reflection compared to point A.

200

Graph the image of BC, whose coordinates are B (4, 0) and C (3, -3), after it’s been reflected over the line y = -2x – 2.

B' (-4, -4) and C' (-1, -5)

Symmetry

100

Name each angle of rotational symmetry, such that the hexagon will map back onto itself.

60 degrees, 120 degrees, 180 degrees, 240 degrees, 300 degrees, and 360 degrees

200

Draw all the lines of symmetry such that the hexagon maps onto itself.

See board