Question

In the triangles, Line segment B C is-congruent-to line segment R S and Line segment A C is-congruent-to line segment T S. Triangles A B C and T R S are shown. Sides A C and T S are congruent. Sides T B and R S are congruent.

If RT is greater than BA, which correctly compares angles C and S? mA. mB. m mC. m

Answer 1

The correct comparison between angles C and S is mA. mC.

Step-by-step explanation:

Triangle congruence refers to the condition where two or more triangles are identical in shape and size. In other words, if two triangles are congruent, their corresponding angles and sides are equal. The concept of congruence is fundamental in geometry and plays a crucial role in proving geometric theorems and solving problems.

To compare angles C and S, we can use the triangle congruence theorem. Since line segments BC and RS are congruent, angle B is congruent to angle R. Similarly, since line segments AC and TS are congruent, angle C is congruent to angle S. Therefore, the correct comparison is mA. mC.