Question

BDAStatementsReasons1. AB || CDAC | BD1. GivenIf two parallel lines are cut by a transversal, then:2. LABC ZBCDLACB ZDBC2.I----3.3. Reflexive property-14. AACB ADBC4.1I:: alternate interior angles are congruent:: corresponding angles are congruent:: BD - AC:: BC - BC:: AB - CD:: Angle-Side-Angle:: Angle-Angle-Side:: Side-Angle-Side

Answer 1

2.

Statements

$\begin{gathered} \angle ABC\cong\angle BCD \\ \angle ACB\cong\angle DBC \end{gathered}$

Reasons

If two parallel lines are cut by a transversal, then:

- alternate interior angles are congruent.

- corresponding angles are congruent.

3.

Statements

$\begin{gathered} \bar{BD}\cong\bar{AC} \\ \bar{BC}\cong\bar{BC} \\ \bar{AB}\cong\bar{CD} \end{gathered}$

Reasons

Reflexive property.

4.

Statements

$\Delta ACB\cong\Delta DBC$

Reasons

- Angle-Side-Angle

- Angle-Angle-Side

- Side-Angle-Side