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Math

Need help finding what the line segments are parallel to.

Let ABCD be the non-simple quadrilateral below, and let P, Q, R, and S be the midpoints of AB, BC, CD, and DA respectively.

Prove that PQRS is a parallelogram. Proof:

PQII

the Midline Theorem

on

BAC

QRI

the Midline Theorem

RSI

the Midline Theorem

SPII

the Midline Theorem

So PQII SR and PSIQR = PQRS is a parallelogram. Please answer all parts of the question.

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02:19

Anyone got answers? Need help proving the Parallelogram Diagonal Theorem.

Given: ABCD is a parallelogram. Diagonals AC and BD intersect at E.Prove: AE = CE and BE = DE.

Angles Segments Triangles Statements ReasonsABAEBCBECEDADE

Statements:1. ABCD is a parallelogram.2. CD = AB.3. AB || CD.

Reasons:1. Given.2. Parallelogram side theorem.3. Definition of parallelogram.

Correctly assemble the next statement.

Intro

01:40

Problem 2. [15 pts] ABCD is a non-simple quadrilateral: PQ, R, and S are midpoints on AB, BC, CD, and AD respectively. Show that PQRS is a parallelogram.

06:03

Let ABCD be a quadrilateral. Let P, Q, R, and S be the midpoints of the sides AB, BC, CD, and DA. Prove that PQRS is a parallelogram.

05:15

Assume the following theorem to be true:Midsegment Theorem: The segment connecting the midpoints of two sides of a triangle is parallel to the remaining side and is half the length of that side.Specifically, in the right triangle: Given that M is the midpoint of AC and N is the midpoint of AB, then MN is parallel to BC and is half the length of BC.Using this theorem, prove the following: Given the quadrilateral ABCD; E is the midpoint of AB, F is the midpoint of BC, G is the midpoint of CD, and H is the midpoint of AD. Prove that EFGH is a parallelogram.(Hint: Draw diagonal BD. Consider triangles AABD and ABCD.)

04:27

Let ABCD be a parallelogram; and let M and N be the midpoints of AB and CD. Prove that MN is parallel to BC_

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