Question

A coordinate grid is labeled from negative 5 to 0 to 5 on both x and y axes at increments of 1. Figure ABCD has A at ordered pair 1, 1, B at 3, 3, C at 4, 2, D at 4, 1. Figure A prime B prime C prime D prime has A prime at ordered pair 1, negative 3, B prime at 3, negative 1, C prime at 4, negative 2, D at 4, negative 3.
Which angle in Figure A′B′C′D′ is equal to Angle BCD.?

Angle D prime A prime B prime.
Angle A prime B prime C prime.
Angle B prime C prime D prime.
Angle C prime D prime A prime.

Answer 1

A'B'C'D after the translation. Corresponding parts of congruent figures are congruent. Angle BCD corresponds to angle B'C'D', so angle BCD is congruent to angle B'C'D'

See attached. The graph confirms this.