6-3 Proving That a Quadrilateral Is a Parallelogram.

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6-3 Proving That a Quadrilateral Is a Parallelogram

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Transcript of 6-3 Proving That a Quadrilateral Is a Parallelogram.

Page 1: 6-3 Proving That a Quadrilateral Is a Parallelogram.

6-3Proving That a

Quadrilateral Is a Parallelogram

Page 2: 6-3 Proving That a Quadrilateral Is a Parallelogram.

Theorem 6-8

If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

Page 3: 6-3 Proving That a Quadrilateral Is a Parallelogram.

Theorem 6-9

If an angle of a quadrilateral is supplementary to both of its consecutive angles, then the quadrilateral is a parallelogram

Page 4: 6-3 Proving That a Quadrilateral Is a Parallelogram.

Theorem 6-10

If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram

Page 5: 6-3 Proving That a Quadrilateral Is a Parallelogram.

Problem 1: Finding Values for Parallelograms

For what value of y must PQRS be a parallelogram

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For what values of x and y must EFGH be a parallelogram?

Page 7: 6-3 Proving That a Quadrilateral Is a Parallelogram.

Theorem 6-11

If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram

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Theorem 6-12

If one pair of opposite sides of a quadrilateral is both congruent and parallel, then the quadrilateral is a parallelogram

Page 9: 6-3 Proving That a Quadrilateral Is a Parallelogram.

Problem 2: Deciding Whether a Quadrilateral Is a Parallelogram

Can you prove that the quadrilateral is a parallelogram based on the given information? Explain!

Page 10: 6-3 Proving That a Quadrilateral Is a Parallelogram.

Can you prove that the quadrilateral is a parallelogram based on the given information? Explain!

Page 11: 6-3 Proving That a Quadrilateral Is a Parallelogram.

Can you prove that the quadrilateral is a parallelogram based on the given information? Explain!

Page 12: 6-3 Proving That a Quadrilateral Is a Parallelogram.

Can you prove that the quadrilateral is a parallelogram based on the given information? Explain!

Page 13: 6-3 Proving That a Quadrilateral Is a Parallelogram.

WALA: Quadrilaterals Key vocabulary: Quadrilateral, four sides, … · 2020-06-25 · WALA: Quadrilaterals Key vocabulary: Quadrilateral, four sides, equal, rhombus, square, parallelogram,

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Classifying Quadrilaterals Quadrilateral -Four sided figure. Trapezoid -A quadrilateral with only one set of parallel sides. Parallelogram -A quadrilateral.

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8.3 show that a quadrilateral is a parallelogram

8.3 show that a quadrilateral is a parallelogram

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7 Quadrilaterals and Other Polygons · 2016. 5. 4. · 7.1 Angles of Polygons 7.2 Properties of Parallelograms 7.3 Proving That a Quadrilateral Is a Parallelogram 7.4 Properties of

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Geometry Unit 6 Properties of Quadrilaterals Classifying ...mathwithjp.weebly.com/.../0/...quadrilateral_notes.pdf · quadrilateral are congruent, then the quadrilateral is a parallelogram.

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7.3 Proving That a Quadrilateral Is a Parallelogram

7.3 Proving That a Quadrilateral Is a Parallelogram

Proving a Quadrilateral is a Parallelogram€¦ · Proving a Quadrilateral is a Parallelogram Thursday, January 31, 13 1. DeÞne converse ¥ What is the converse of this conditional?

Proving a Quadrilateral is a Parallelogram€¦ · Proving a Quadrilateral is a Parallelogram Thursday, January 31, 13 1. DeÞne converse ¥ What is the converse of this conditional?

16) (12x— / 80 18) 19) 3X+ 17 20) - Loudoun County Public … · 2016-11-26 · 8.3 Worksheet Proving Parallelograms ... Practice 8.3 Show that a Quadrilateral is a Parallelogram

16) (12x— / 80 18) 19) 3X+ 17 20) - Loudoun County Public … · 2016-11-26 · 8.3 Worksheet Proving Parallelograms ... Practice 8.3 Show that a Quadrilateral is a Parallelogram

 · 2016-11-27 · Check your answers by reading chapter 8 sections 1 , 2, ... Show that a Quadrilateral is a Parallelogram (8.3) ... Show that a Quadrilateral is a Parallelogram

 · 2016-11-27 · Check your answers by reading chapter 8 sections 1 , 2, ... Show that a Quadrilateral is a Parallelogram (8.3) ... Show that a Quadrilateral is a Parallelogram

Name Geometry Proving that a Quadrilateral is a Parallelogram Any

Name Geometry Proving that a Quadrilateral is a Parallelogram Any

 · be proven and stated as a theorem. Theorem If a quadrilateral is a parallelogram, then its opposite angles are congruent. Explain 3 Proving Diagonals Bisect Each Other The conjecture

 · be proven and stated as a theorem. Theorem If a quadrilateral is a parallelogram, then its opposite angles are congruent. Explain 3 Proving Diagonals Bisect Each Other The conjecture

Shape and space quadrilateral & symmetry. content square square Rectangle Rectangle rhombus rhombus Parallelogram Parallelogram Trapezium Trapezium Kite.

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are Parallelograms - Edl · are Parallelograms PROVING Q ... The activity illustrates one way to prove that a quadrilateral is a parallelogram. ... Investigating Properties of Parallelograms

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5.7: Proving Quadrilateral Properties...Aug 16, 2014  · 2/3 3. Prove the conjecture: If the opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

5.7: Proving Quadrilateral Properties...Aug 16, 2014  · 2/3 3. Prove the conjecture: If the opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.