[PDF] [PDF] 6-2 Study Guide and Intervention

[PDF] 6-2 Study Guide and Intervention

Here are four important properties of parallelograms If PQRS is a parallelogram, then If a quadrilateral is a parallelogram, then its opposite sides are congruent

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establish that a quadrilateral is a parallelogram If: If: both pairs of opposite sides are parallel,

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6-1 Study Guide and Intervention Angles of Sides and Angles of Parallelograms A quadrilateral with both pairs of opposite sides parallel is a parallelogram

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1 jui 2014 · Study Guide and Intervention Parallelograms Sides and Angles of Parallelograms A quadrilateral with both pairs of opposite sides parallel is a 

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angle, then it has four right angles If ABCD is a parallelogram, find a and b AB and CD are opposite sides, so AB CD

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NAME DATE 8-2 Study Guide and Intervention Parallelograms Sides and Angles of Parallelograms A quadrilateral with both pairs of opposite sides parallel is 

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6-2 Study Guide and Intervention Sides and Angles of Parallelograms A quadrilateral with both pairs of opposite sides parallel is a parallelogram Here are 

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Glencoe Geometry Study Guide and Intervention Areas of Parallelograms and Triangles Areas of Parallelograms Any side of a parallelogram can be called a 

pdf Answer Key for Intro to Section 8-2 Parallelograms

NAME DATE PERIOD Study Guide and Intervention Parallelograms Sides and Angles of Parallelograms A quadrilateral with both pairs of opposite sides parallel is a parallelogram Here are four important properties of parallelograms The opposite sides of a parallelogram are congruent The opposite angles of a parallelogram are congruent

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6-2 Study Guide and Intervention (continued) Parallelograms Diagonals of Parallelograms Two important properties of parallelograms deal with their diagonals If ABCD is a parallelogram then If a quadrilateral is a parallelogram then its diagonals bisect each other AP = PC and DP = PB If a quadrilateral is a parallelogram then each

Proving Parallelograms - Lower Moreland Township School

NAME -2 -2 8- DATE PERIOD 8-3 Study Guide and Intervention Tests for Parallelograms Conditions for a Parallelogram There are many ways to establish that a quadrilateral is a parallelogram both pairs of opposite sides are parallel both pairs of opposite sides are congruent both pairs of opposite angles are congruent the diagonals bisect each

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6-2 Study Guide and Intervention (continued) Parallelograms Diagonals of Parallelograms Two important properties of parallelograms deal with their diagonals If a quadrilateral is a parallelogram then its diagonals bisect each other If a quadrilateral is a parallelogram then each diagonal separates the parallelogram into two congruent triangles

8-2 Study Guide and Intervention - morganparkcpsorg

Mar 2 2009 · Lesson 8-2 Sides and Angles of ParallelogramsA quadrilateral with both pairs of opposite sides parallel is a parallelogram Here are four important properties of parallelograms If PQRS is a parallelogram then The opposite sides of a PQ SR and PS QR parallelogram are congruent The opposite angles of a P R and S Q parallelogram are congruent

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NAME _____________________________________________ DATE ____________________________ PERIOD _____________

Chapter 6 11 Glencoe Geometry

6-2 Study Guide and Intervention

Parallelograms

Sides and Angles of Parallelograms A quadrilateral with both pairs of opposite sides parallel is a parallelogram. Here are four important properties of parallelograms.

If PQRS is a parallelogram, then

If a quadrilateral is a parallelogram,

then its opposite sides are congruent.

If a quadrilateral is a parallelogram,

then its opposite angles are congruent. סP ס ؆R and סS ס ؆

If a quadrilateral is a parallelogram,

then its consecutive angles are supplementary. סP and סS are supplementary; סS and ס סR and סQ are supplementary; סQ and ס

If a parallelogram has one right angle,

then it has four right angles. If mסP = 90, then mסQ = 90, mסR = 90, and mס Example: If ABCD is a parallelogram, find the value of each variable.

2a = 34

a = 17 סA and סC are opposite angles, so סA ס ؆

8b = 112

b = 14

Exercises

Find the value of each variable in the following parallelograms.

1. 2.

3. 4.

5. 6.

x = 30; y = 22.5 x = 15; y = 11 x = 2; y = 4 x = 10; y = 40 x = 13; y = 32.5 x = 5; y = 180

NAME _____________________________________________ DATE ____________________________ PERIOD _____________

Chapter 6 12 Glencoe Geometry

6-2 Study Guide and Intervention (continued)

Parallelograms

Diagonals of Parallelograms Two important properties of parallelograms deal with their diagonals.

If ABCD is a parallelogram, then

If a quadrilateral is a parallelogram, then

its diagonals bisect each other.

AP = PC and DP = PB

If a quadrilateral is a parallelogram, then each

diagonal separates the parallelogram into two congruent triangles. ᇞACD ؆ ᇞCAB and ᇞADB؆ Example: Find the value of x and y in parallelogram ABCD. The diagonals bisect each other, so AE = CE and DE = BE.

6x = 24 4y = 18

x = 4 y = 4.5

Exercises

Find the value of each variable in the following parallelograms.

1. 2. 3.

4. 5. 6.

COORDINATE GEOMETRY Find the coordinates of the intersection of the diagonals of ABCD with the given vertices.

7. A(3, 6), B(5, 8), C(3, 2), and D(1, 4) 8. A(4, 3), B(2, 3), C(1, 2), and D(7, 2)

9. PROOF Write a paragraph proof of the following.

Given: ABCD

Prove: ᇞAED ؆

x = 4; y = 2 x = 7; y = 14 x = 15; y = 7.5 (3, 2) (2.5, 0.5) corresponding sides of tAED ؆quotesdbs_dbs20.pdfusesText_26