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?

A.mAngleC = mAngleS
B.mAngleC < mAngleS
C.mAngleC > mAngleS
D.mAngleC ≥ mAngleS

Answer 1

Answer: B

Explanation:

Answer 2

B.m angle C<mangle S

Explanation:

We are given that

In triangle ABC and triangle TRS

`AC\cong TS`

`BC\cong RS`

`RT> BA`

We have to find the option which compares correctly angle C and S.

When two sides of one triangle are congruent to its corresponding sides of other triangle then, third side of triangles depends on the angle opposite to third side of the triangles.

When
`BA< RT`

When one side RT is greater than the other side BA then , the angle opposite to side RT is greater than angle opposite side BA.

`m\angle S>m\angle C`

Because angle is opposite to side BA and angle S is opposite to side RT.

Option B is true.