Question

The pentagons shown are congruent. Complete.

If $\overline{\mathrm{CA}}\perp \overline{\mathrm{LA}},$name two right angles in the figures.

Short answer

The two right angles in the figures are $\angle \mathbf{CAL}$ and $\angle \mathbf{EHO}$.

Step-by-step solution

Step 1. Observe the given diagram.

The given diagram is:

Step 2. Description of step.

The given pentagons are congruent.

Therefore, corresponding angles and corresponding sides of pentagons will be equal.

- Write the conclusion.

From the given diagram it can be noticed that the corresponding angles for the angles $B,L,A,C$and $K$are the angles $R,O,H,E$and $S$respectively.

Therefore, as $\overline{CA}\perp \overline{LA},$it can be said that $\overline{EH}\perp \overline{OH}.$

Therefore, the two right angles in the figures are $\angle CAL$and $\angle EHO.$