Title: proofs/triangles and polygons
Course: quiz duplicate error

Write a two-column proof.

Given: Square GHJK.
Prove: [Image]
[Image]

Explain how given the following information, you know that [Image]
Given: W is the midpoint of [Image] and [Image]. [Image].
Prove: [Image]
[Image]

Write a two-column proof.

Given: A regular hexagon. M is the midpoint of [Image] and [Image].
Prove: [Image]
[Image]

Write a two-column proof.

Given: A trapezoid. [Image]. [Image]. [Image] perpendicular to [Image] and [Image]. [Image] perpendicular to [Image] and [Image].
Prove: [Image]
[Image]

Explain how given the following information, you know that [Image]
Given: W is the midpoint of [Image] and [Image].
Prove: [Image]
[Image]

Write a two-column proof.

Given: [Image] is isosceles. [Image]. [Image].
Prove: [Image]
[Image]

Write a two-column proof.

Given: [Image] is isosceles. [Image]. [Image]. [Image].
Prove: [Image]
[Image]

Write a two-column proof.

Given: Circle Q. [Image] are isosceles. [Image]and [Image] are vertex angles. [Image]. [Image].
Prove: [Image]
[Image]

Write a two-column proof.

Given: [Image]. [Image].
Prove: [Image]
[Image]

Write a two-column proof.

Given: R is the midpoint of [Image], [Image].
Prove: [Image]
[Image]

Write a two-column proof.

Given: Circle F. F is the center of the circle.
Prove: [Image]
[Image]

Write a two-column proof.

Given: [Image] is equilateral. [Image] bisects [Image].
Prove: T is the midpoint of [Image].
[Image]

Write a two-column proof.

Given: [Image] is equilateral. [Image] bisects [Image].
Prove: [Image]
[Image]

Write a two-column proof.

Given: R is the midpoint of [Image]. [Image].
Prove: [Image]
[Image]

Write a flow proof.

Given: W is the midpoint of [Image] and [Image]. [Image].
Prove: [Image]
[Image]

Write a flow proof.

Given: A regular hexagon. M is the midpoint of [Image] and [Image]. [Image].
Prove: [Image]
[Image]

Write a flow proof.

Given: M is the midpoint of [Image]. [Image], [Image], [Image]
Prove: [Image]
[Image]

Write a flow proof.

Given: Square ABCD. [Image].
Prove: [Image]
[Image]

Write a flow proof.

Given: Two interlocking regular pentagons. [Image]. [Image] bisects [Image].
Prove: [Image]
[Image]

Write a flow proof.

Given: Square GHJK. [Image] bisects [Image].
Prove: [Image]
[Image]

Write a flow proof.

Given: Two interlocked trapezoids. [Image] bisects [Image]. [Image].
Prove: [Image]
[Image]

Write a flow proof.

Given: Rectangle ZYWX. [Image].
Prove: [Image]
[Image]

Write a flow proof.

Given: [Image] is isosceles. [Image].
Prove: [Image]
[Image]

Explain how given the following information you know that [Image]
Given: [Image] bisects [Image]. [Image].
Prove: [Image]
[Image]

Explain how given the following information, you know that [Image]
Given: Vertical isosceles triangles. [Image] bisects [Image]. [Image].
Prove: [Image]
[Image]

Write a paragraph proof.

Given: Square VWXY. [Image].
Prove: [Image]
[Image]

Write a coordinate proof for the statement.

The segments joining the vertices to the midpoints of the legs of an isosceles triangle are congruent.

Write a coordinate proof for the statement.

If two angles of a triangle are congruent, then the sides opposite those angles are congruent.

Write a coordinate proof for the statement.

The segment that joins the vertex angle of an isosceles triangle to the midpoint of its base is perpendicular to the base.

Write a coordinate proof for the statement.

If a line is drawn between the midpoints of two sides of an equiangular triangle, then the resulting triangle is also equiangular.

Write a coordinate proof for the statement.

A triangle with coordinates [Image], [Image], [Image] is isosceles.

Write a coordinate proof for the statement.

If a line is drawn between the midpoints of two sides of a triangle, then the line is parallel to the third side.

Write a coordinate proof for the statement.

If a segment is drawn to connect the midpoints of two sides of a triangle, then its length is equal to one-half the length of the third side.

Write a coordinate proof for the statement.

The three segments joining the midpoints of the sides of an isosceles triangle form another isosceles triangle.

Write a coordinate proof for the statement.

The three segments joining the midpoints of the sides of an equilateral triangle form another equilateral triangle.

Write a coordinate proof for the statement.

If a segment bisects the base of a right isosceles triangle, then the resulting two triangles are congruent.

The measures of the angles of [Image] are [Image].
a.      Draw a figure to illustrate [Image].
b.      Find the measure of each angle of [Image]. Explain.
c.      Prove that [Image] is an equilateral triangle.