Question

Which congruency criteria can be used for the following pair of triangles?

• A. S-S-S congruency
• B. S-A-S congruency
• C. Hypotenuse-leg congruency
• D. A-A-S congruency

Answer 1

The correct option is D A-A-S congruency

In $\Delta DEF$ and $\Delta RTX$,
$\angle$D = $\angle$R
$\angle$E = $\angle$T
DF = RX = 7 in

$\therefore \Delta DEF\cong \Delta RTX$ by A-A-S congruency.

If two angles and a side of one triangle are congruent to two angles and a side of another triangle, then the two triangles are congruent by A-A-S congruency.