1. a) $\overline{AC} \cong \overline{DE}$, b) $\angle C \cong \angle F$, c) $\angle CBA \cong \angle EFD$, d) $\overline{AB} \cong \overline{FD}$, e) $CB = EF$
2. Corresponding Parts of Congruent Triangles are Congruent
3. Statements:
- $\angle A \cong \angle F$ (Given)
- $\angle C \cong \angle D$ (Given)
- $\overline{BC} \cong \overline{DE}$ (Given)
- $\triangle BCA \cong \triangle FDE$ (AAS)
4. Statements:
- $\overline{ON} \cong \overline{NY}$ (Given)
- $\angle O \cong \angle Y$ (Given)
- $\angle ONM \cong \angle YNE$ (Vertical Angles Theorem)
- $\triangle ONM \cong \triangle YNE$ (ASA)
- $\overline{OM} \cong \overline{EY}$ (CPCTC)
5.
a) $\square \triangle ACB \cong \triangle ECD$ by SAS
b) $\square$ These triangles cannot be proven congruent.
c) $\square \triangle RBA \cong \triangle RTA$ by HL
d) $\square \triangle HJI \cong \triangle HGF$ by ASA
6. $a = 61^\circ$, $b = 7$, $c = 58^\circ$, $d = 71^\circ$, $e = 109^\circ$, $f = 62^\circ$, $g = 60^\circ$
Parent Tip: Review the logic above to help your child master the concept of geometry proof practice worksheet with answers.
