use definitions such as bisectors, midpoints, medians, and perpendicular bisectors in order to prove triangles congruent. Task #2 Complete the statement/reason proof in order to prove^ ABC A EDC. (Mark the diagram, too)StatementReason1. AE bisects BDGiven:Prove:1.AE bisects BD, BD bisects AEA ABC A EDC2.2. Definition of Bisector3.3. Given4. AC É CE5. ZACB É ZECD6.ΔΑBCPostulate4.5.6.

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Answered: Given: Prove: AE bisects BD, BD bisects…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter1: Line And Angle Relationships

Section1.2: Angles And Their Relationships

Problem 37E: Draw a triangle with three acute angles. Construct angle bisectors for each of the three angles. On...

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use definitions such as bisectors, midpoints, medians, and perpendicular bisectors in order to prove triangles congruent.

Task #2 Complete the statement/reason proof in order to prove^ ABC A EDC. (Mark the diagram, too)
Statement
Reason
1. AE bisects BD
Given:
Prove:
1.
AE bisects BD, BD bisects AE
A ABC A EDC
2.
2. Definition of Bisector
3.
3. Given
4. AC É CE
5. ZACB É ZECD
6.ΔΑBC
Postulate
4.
5.
6.

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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