Question

are these shapes congruent?
yes no

Explanation:

Step1: Check side congruence

Match marked sides:

• $DC \cong ON$ (single tick)
• $CF \cong PQ$ (double ticks)
• $FE \cong QN$ (single tick)
• $ED \cong PO$ (double ticks)

All corresponding sides are congruent.

Step2: Check angle congruence

Match corresponding angles:

• $\angle D = 79^\circ \cong \angle O = 79^\circ$
• $\angle C = 65^\circ \cong \angle N = 65^\circ$
• $\angle F = 70^\circ \cong \angle Q = 70^\circ$
• $\angle E = 146^\circ \cong \angle P = 146^\circ$

All corresponding angles are congruent.

Step3: Verify congruence condition

For polygons, if all corresponding sides and angles are congruent, the shapes are congruent.

Answer:

yes