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.

Answer 2

Answer:

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

Step-by-step explanation: