Explanation:
Statement:
2-) ∠BAC = ∠EDC
Reason:
Angles opposite to equal sides of a triangle are equal (Alternate Interior Angles Theorem)
Statement:
3-) AC = CD
Reason:
CPCTC ("Corresponding Parts of Congruent Triangles are Congruent")
Statement:
4-) ∠BCA = ∠DCE
Reason:
Vertical Angles Theorem (states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent)
Statement:
5-) triangle ABC = triangle DEC
ASA Postulate
The ASA (Angle-Side-Angle) postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. (The included side is the side between the vertices of the two angles.)
22
Answer: B
23
Answer: D
24
Answer: A
25
Answer: C