SparkNotes: Geometric Proofs: Problems

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Problems

Write a direct proof for the following problems.

Problem 1.1:

Given:

Circle C with triangles ABC and DEC.
Chord AB is congruent to chord DE.

Prove:

Triangles ABC and DEC are congruent.

[Solution]

Problem 1.2:

Given:

Qaudrilateral DEFG is a parallelogram.

Prove:

Angles G and E are congruent

Do not use any previously learned theorems. Use the definition of a parallelogram. [Solution]

Problem 1.3:

Given:

Segment BD is a median of triangle ABC.
Segment DE is a median of triangle ADB.
Segment DE is perpendicular to segment AB.

Prove:

Triangle DBC is isosceles.

[Solution]

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	Geometry
	Math Basics

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