Sloven; Isosceles Trapezoid ABCD Proof: ∠ACB ≅ ∠DBC Statements: Reasons: Given: AB = DC and BD ≅ CA 2. BC ≅ AB 3. ABC ≅ ADC 4. ∠ACB ≅ ∠DBC Reasons: 1. Reflexive Property 2. SSS (Side-Side-Side) Property 3. Properties of Isosceles Trapezoid ABCD 4. SAS (Side-Angle-Side) Property CPCTC (Corresponding Parts of Congruent Triangles are Congruent) Title_with_topic: Properties of Isosceles Trapezoid ABCD and Congruent Triangles
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Statement 2: AB = DC Reason: Given in the problem statement. Statement 3: BD ~ CA Reason: Given in the problem statement. Statement 4: BC || AD Reason: Properties of a trapezoid. Statement 5: ∠LAC = ∠BCA and ∠CDA = ∠BDC Reason: Alternate interior angles formed Show more…
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