Q:

Match the reasons with the statements given.Prove Theorem 4-22(Hint: Show ADB CDB.)Given:ABCD is rhombusProve: DB bisects ABC and ADC ABCD is a rhombus Given 2. Triangle ADB congruent to Triangle CDB Definition of angle bisector. 3. ∠1 = ∠2, ∠3 = ∠4 CPCTE 4. DB bisects ∠ABC and ∠ADC Diagonals of parallelogram make congruent triangles.

Accepted Solution

A:
I believe the matching would be as follows;
1. ABCD is a rhombus -Given
2. Triangle ADB congruent to Triangle CDB- Diagonals of parallelogram make congruent triangles. The two triangles share a diagonal BD as their third side.
3. ∠1=∠2, ∠3=∠4 ; CPCTE
4. DB bisects ∠ABC and ∠ADC - definition of angle bisector