Geometry - 4.7 Practice Congruence & Overlapping Triangles

Identify any common angles or sides for:

△CDG and △FCE

• ∠C

• ∠E

• ∠F

• ∠D

Identify any common angles or sides for:

△GDE and △HED

• ED

• GD

• HD

Identify any common angles or sides for:

△DEH and △DFG

• ∠D

• ∠DEH

• ∠DFG

• DG

Identify any common angles or sides for:

△ADC △BDC

• AB

• AC

• BD

• DC

Identify any common angles or sides.

△EGH △EGF

• EH

• EF

• GH

• EG

Identify any common angles or sides.

△KNM and △PLM

• ∠M

• ∠P

• ∠K

• ∠MLP

Identify any common angles or sides.

△UXV and △VWU

• UX

• UW

• UV

• XV

Given: CB ⊥ BD, DE ⊥ EC, CB ≅ DE

Prove: △DBC ≅ △CED

What is the missing reason for statement 3?

• HL Theorem

• Given

• All right angles are congruent.

• Reflexive Property

Given: CB ⊥ BD, DE ⊥ EC, CB ≅ DE

Prove: △DBC ≅ △CED

What is the missing reason for statement 4?

• HL Theorem

• Given

• All right angles are congruent.

• Reflexive Property

Given: CB ⊥ BD, DE ⊥ EC, CB ≅ DE

Prove: △DBC ≅ △CED

What is the missing reason for statement 5?

• HL Theorem

• Given

• All right angles are congruent.

• Reflexive Property