Question

Figure A is translated 3 units right and 2 units up. The translated figure is labeled figure B. Figure B is reflected over the x-axis. The reflected figure is labeled figure C. Which best explains why figure A is congruent to figure C? On a coordinate plane, triangle A has points (1, negative 2), (3, negative 2), (3, negative 5). Triangle B has points (4, 0), (6, 0), (6, negative 3). Triangle C has points (4, 0), (6, 0), (6, 3). A Is congruent to B and B Is congruent to C A Is congruent to A, B Is congruent to B, C Is congruent to C Each triangle is a right triangle. Each triangle is an isosceles triangle.

Answer 1

Answer:it’s A

Explanation:

Answer 2

(A)A Is congruent to B and B Is congruent to C

Explanation:

Given Figures A, B and C on a coordinate plane with the coordinates below:

Triangle A has points (1, -2), (3, -2), (3, -5).

Triangle B has points (4, 0), (6, 0), (6, -3).

Triangle C has points (4, 0), (6, 0), (6, 3).

The fact that each triangle is a right triangle only shows that the triangles are similar.

For any two shapes to be congruent, they must have in addition to the same shape, the same size.

Therefore, for Triangle A to be congruent to Triangle C, Triangle A must be congruent to Triangle B and Triangle B must be congruent to Triangle C.

`A\cong B \: $and\: B \cong C $ implies A \cong C`