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

Point Q is the center of dilation. Triangles B prime C prime D prime and B C D are shown. The length of C prime Q is 3. The length of B prime C prime is 18. The length of D prime D is 2. The length of B D is 22 and the length of B C is 36. Angle B C D is 34 degrees and Angle B D C is 51 degrees.

Triangle BCD was dilated using the rule D Subscript Q, one-half.

What are the values of the unknown measures?

m∠C'B'D' =

✔ 95

°

CQ =

✔ 6

B'D' =

✔ 11

Explanation:

Answer 2

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.