5.7: Proving Quadrilateral Properties...Aug 16, 2014  · 2/3 3. Prove the conjecture: If the...

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5.7: Proving Quadrilateral Properties

Transcript of 5.7: Proving Quadrilateral Properties...Aug 16, 2014  · 2/3 3. Prove the conjecture: If the...

Page 1: 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

Page 2: 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.

Bellringer: Homework 5.3, exercise 6

=2a + 1

By the Triangle Inequality theorem, the sum of any two sides of a triangle is greater than the third side.

(a) + (2a + 1) > 𝟑𝟒 3a + 1 >34 3a > 𝟑𝟑 a> 𝟏𝟏

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Page 3: 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.

opposite

a d j a c e n t

Bellringers

Page 4: 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.
Page 5: 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

Page 6: 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.

Same segment

Page 7: 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.
Page 8: 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.
Page 9: 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.
Page 10: 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.
Page 11: 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.
Page 12: 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.
Page 13: 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.
Page 14: 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.
Page 15: 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.
Page 16: 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.

Write a paragraph proof

Page 17: 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.
Page 18: 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.

Homework: Workbook 5.7 Gizmos: Due 1/26 & 1/27 1. Classifying Quadrilaterals 2. Special parallelograms


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?

€¦ · What do you notice about these segments? 071/1 577M Measure them. ... Write the Cyclic Quadrilateral Conjecture in your notes, Try to draw a cyclic parallelogram in ...

€¦ · What do you notice about these segments? 071/1 577M Measure them. ... Write the Cyclic Quadrilateral Conjecture in your notes, Try to draw a cyclic parallelogram in ...

6-5 Rhombi and Squares - Check Your Understandingphsmath.pbworks.com/f/Geom+6-5+Answers.pdfDetermine whether each quadrilateral is a parallelogram. Justify your answer. Quadrilateral

6-5 Rhombi and Squares - Check Your Understandingphsmath.pbworks.com/f/Geom+6-5+Answers.pdfDetermine whether each quadrilateral is a parallelogram. Justify your answer. Quadrilateral

theoremsaboutparallelogramstofindout: Parallelogram …...parallelogram, then its opposite sides are congruent. If a quadrilateral is a parallelogram, then its consecutive angles are

theoremsaboutparallelogramstofindout: Parallelogram …...parallelogram, then its opposite sides are congruent. If a quadrilateral is a parallelogram, then its consecutive angles are

Tests for Parallelograms. Objectives Recognize the conditions that ensure a quadrilateral is a parallelogram. Prove that a set of points forms a parallelogram.

Tests for Parallelograms. Objectives Recognize the conditions that ensure a quadrilateral is a parallelogram. Prove that a set of points forms a parallelogram.

Parallelograms Definition of a Parallelogram –A parallelogram is a quadrilateral that has two pairs of parallel sides.

Parallelograms Definition of a Parallelogram –A parallelogram is a quadrilateral that has two pairs of parallel sides.

Prove that a given quadrilateral is a parallelogram.

Prove that a given quadrilateral is a parallelogram.

5.4 Notes (completed notes) · 2019. 11. 26. · Notes Definitions: Polygon Quadrilateral Parallelogram Properties (and defn.) of a parallelogram: ... 5.3 Practice worksheet ( Theorems

5.4 Notes (completed notes) · 2019. 11. 26. · Notes Definitions: Polygon Quadrilateral Parallelogram Properties (and defn.) of a parallelogram: ... 5.3 Practice worksheet ( Theorems

 · 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

Vocabulary Square Parallelogram Pair Parallel Pair of equal sides Rectangle Rhombus Quadrilateral Trapezoid.

Vocabulary Square Parallelogram Pair Parallel Pair of equal sides Rectangle Rhombus Quadrilateral Trapezoid.

Name Geometry Proving that a Quadrilateral is a ......Name Geometry Proving that a Quadrilateral is a Parallelogram Any of the methods may be used to prove that a quadrilateral is

Name Geometry Proving that a Quadrilateral is a ......Name Geometry Proving that a Quadrilateral is a Parallelogram Any of the methods may be used to prove that a quadrilateral is

Area of a parallelogram · 2020. 7. 3. · Area of a parallelogram A parallelogram is a quadrilateral (four-sided shape). Each pair of opposite sides is parallel (they will never

Area of a parallelogram · 2020. 7. 3. · Area of a parallelogram A parallelogram is a quadrilateral (four-sided shape). Each pair of opposite sides is parallel (they will never

6-3 Proving that a Quadrilateral is a Parallelogram 2010staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry...Title 6-3 Proving that a Quadrilateral is a Parallelogram 2010 Subject

6-3 Proving that a Quadrilateral is a Parallelogram 2010staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry...Title 6-3 Proving that a Quadrilateral is a Parallelogram 2010 Subject

1 EXPLORATION: Proving That a Quadrilateral Is a … any quadrilateral ABCD whose opposite sides are congruent. b. Is the quadrilateral a parallelogram? Justify your answer. c. Repeat

1 EXPLORATION: Proving That a Quadrilateral Is a … any quadrilateral ABCD whose opposite sides are congruent. b. Is the quadrilateral a parallelogram? Justify your answer. c. Repeat

4. Find x and y so that the quadrilateral is a parallelogram. · 4. Find x and y so that the quadrilateral is a parallelogram. (3y+5)0 (5y13)0 4x17 2x1 Draw a labeled diagram. Show

4. Find x and y so that the quadrilateral is a parallelogram. · 4. Find x and y so that the quadrilateral is a parallelogram. (3y+5)0 (5y13)0 4x17 2x1 Draw a labeled diagram. Show

Theorems Theorem 6.6: If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. ABCD is a parallelogram.

Theorems Theorem 6.6: If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. ABCD is a parallelogram.

4.5, 4.6 and 4.8 By Tamago and Faris. Today’s Special: QUADRILATERALS! Quadrilateral – a polygon with four sides o Parallelogram – a quadrilateral with.

4.5, 4.6 and 4.8 By Tamago and Faris. Today’s Special: QUADRILATERALS! Quadrilateral – a polygon with four sides o Parallelogram – a quadrilateral with.

6-3 Proving That a Quadrilateral Is a Parallelogram.

6-3 Proving That a Quadrilateral Is a Parallelogram.

Parallelogram in Quadrilateral. Using a compass, bisect each side of the quadrilateral and mark its midpoint. Join these midpoints, in order, to form.

Parallelogram in Quadrilateral. Using a compass, bisect each side of the quadrilateral and mark its midpoint. Join these midpoints, in order, to form.

6.2 Properties of Parallelograms A parallelogram is a quadrilateral with both pairs of opposite sides parallel. In a quadrilateral, opposite sides do not.

6.2 Properties of Parallelograms A parallelogram is a quadrilateral with both pairs of opposite sides parallel. In a quadrilateral, opposite sides do not.