Question

1 apply each move described to figure a. if you get stuck, try using tracing paper

a. a translation which takes p to p
b. a counter - clockwise rotation of figure a, using center p, of 60°
c. a reflection of figure a across line l

2 here is triangle abc drawn on a grid.
on the grid, draw a rotation
of triangle abc, a
translation of triangle abc,
and a reflection of triangle
abc. describe clearly how
each was done.

Explanation:

Step1: For translation in 1a

Measure the horizontal and vertical displacements from P to P'. Then move each point of Figure A by the same amounts.

Step2: For rotation in 1b

With center P, use a protractor to draw a 60 - degree counter - clockwise angle for each point of Figure A relative to P and mark the new points.

Step3: For reflection in 1c

Find the perpendicular distance of each point of Figure A from line l. Then mark points on the other side of line l at the same perpendicular distance.

Step4: For 2

Choose a center of rotation, angle of rotation for rotation of △ABC. For translation, choose a displacement vector. For reflection, choose a line of reflection. Then draw and describe the operations.

Answer:

For 1a: Translated Figure A. For 1b: Rotated Figure A by 60° counter - clockwise about P. For 1c: Reflected Figure A across line l. For 2: Drawn rotated, translated and reflected △ABC with descriptions of operations.