Question

From the above diagram which of the following is true?

• A. $△MST\cong △MBT$
• B. $△PQR\cong △RST$
• C. $△CDH\cong △CDF$
• D. All of the above

Answer 1

The correct option is D All of the above

In fig.(1)

$MS=BT$

$\angle MST=\angle MBT={90}^{\circ }$

$MT=MT$

So they are congruent by $RHS$ criteria.

In fig.(2):

$PR=TR$

$QR=SR$

$\angle PRQ=\angle SRT$

So, they are congruent by $SAS$ criterion.

In fig.(3):

$CD=CD$

$\angle CHD=\angle CFD$

$\angle HCD=\angle FCD$

So, they are congruent by $AAS$ criterion.

Hence, option D is correct.