Chapter 11, Problem 6MCQ

To determine

To check: For the given statements, the statement which is not true for the given congruent triangles.

Answer to Problem 6MCQ

In the given statements, Option C is not a true congruence statement.

Explanation of Solution

Given information: Two congruent triangles given, $△BCD$ and $△TSR$ , and given $\overline{CD}\cong \overline{SR}$ , $\overline{DB}\cong \overline{RT}$ , $\overline{BC}\cong \overline{TS}$ and $\angle D=\angle R$ , $\angle B=\angle T$ , $\angle C=\angle S$ .

Calculation:

In the given triangles, we can see, $△BCD\cong △TSR$ .

So option A is true.

Also in the figures given, $\overline{CD}\cong \overline{SR}$

So option B is true.

We can see, $\angle DBC\cong \angle RTS$ .

So option C is not true.

We can also write, $△BDC\cong △TRS$ .

So option D is true.

$\therefore$ Option C is not a true congruence statement.