Geometry Chapter 8 8 2 USE PROPERTIES OF

Use Properties of Parallelograms Objective: Students will be able to find side and angle

Definitions Parallelograms A Parallelogram ( sides parallel. )is a quadrilateral with both pairs of

Theorem 8. 3 Theorem 8. 3: If a quadrilateral is a parallelogram, then its

Theorem 8. 4 Theorem 8. 4: If a quadrilateral is a parallelogram, then its

Example 1 Find the values of x and y in ABCD.

Example 1 Find the values of x and y in ABCD. Since ABCD is

Example 2 Find the values of x and y in FGHK.

Theorem 8. 5 Theorem 8. 5: If a quadrilateral is a parallelogram, then its

Example 3 Find the values of x and y in DEFG.

Example 4 Find the values of x and y in SRTV.

Theorem 8. 6 Theorem 8. 6: If a quadrilateral is a parallelogram, then its

Example 5 Find the following measures in LMNO.

Example 6 Use the properties of parallelograms to find the following values in WXYZ

Extra Practice 1 Use the properties of parallelograms to find the missing values in

Extra Practice 2 Use the properties of parallelograms to find the missing values in

Extra Practice 3 Use the properties of parallelograms to find the missing values in

Extra Practice 4 Use the properties of parallelograms to find the missing values in

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Geometry Chapter 8 8 -2: USE PROPERTIES OF PARALLELOGRAMS

Use Properties of Parallelograms Objective: Students will be able to find side and angle measures using the properties of parallelograms. Agenda Parallelograms Theorems Practice

Definitions Parallelograms A Parallelogram ( sides parallel. )is a quadrilateral with both pairs of opposite

Definitions Parallelograms A Parallelogram ( sides parallel. )is a quadrilateral with both pairs of opposite Knowledge Connections: What are some examples of parallelograms in the real world?

Theorem 8. 3 Theorem 8. 3: If a quadrilateral is a parallelogram, then its opposite sides are congruent.

Theorem 8. 4 Theorem 8. 4: If a quadrilateral is a parallelogram, then its opposite angles are congruent

Example 1 Find the values of x and y in ABCD.

Example 1 Find the values of x and y in ABCD. Since ABCD is a parallelogram, we can use theorems 8. 3 and 8. 4 to find the values of x.

Example 1 Find the values of x and y in ABCD.

Example 2 Find the values of x and y in FGHK.

Theorem 8. 5 Theorem 8. 5: If a quadrilateral is a parallelogram, then its consecutive angles are supplementary.

Example 3 Find the values of x and y in DEFG.

Example 4 Find the values of x and y in SRTV.

Theorem 8. 6 Theorem 8. 6: If a quadrilateral is a parallelogram, then its diagonals bisect each other.

Example 5 Find the following measures in LMNO.

Example 6 Use the properties of parallelograms to find the following values in WXYZ

Extra Practice 1 Use the properties of parallelograms to find the missing values in the following parallelograms.

Extra Practice 2 Use the properties of parallelograms to find the missing values in the following parallelograms.

Extra Practice 3 Use the properties of parallelograms to find the missing values in the following parallelograms.

Extra Practice 4 Use the properties of parallelograms to find the missing values in the following parallelograms.

Extra Practice 5

Extra Practice 6