Lesson 7.2 Properties of Parallelograms Learning
Description: Lesson 7.2 Properties of Parallelograms Learning Target: Prove and use properties of parallelograms. Success Criteria: I can prove properties of parallelograms. I can use properties of parallelograms. I can solve problems involving
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slide1. Lesson 7.2 Properties of Parallelograms<br>
slide2. Learning Target:
Prove and use properties of parallelograms. Success Criteria:
I can prove properties of parallelograms.
I can use properties of parallelograms.
I can solve problems involving parallelograms in the coordinate plane.<br>
slide3. Vocabulary
parallelogram, p. 362<br>
slide5. Parallelogram Opposite Sides Theorem<br>
slide6. Parallelogram Opposite Sides Theorem Plan in Action<br>
slide7. Example 1 Using Properties of Parallelograms Find the values of x and y. ABCD is a parallelogram by the definition of a parallelogram.
Use the Parallelogram Opposite Sides Theorem to find the
value of x. Opposite sides of a parallelogram are congruent. Subtract 4 from each side. SOLUTION<br>
slide10. Parallelogram Diagonals Theorem<br>
slide11. Example 2 Using Properties of a Parallelogram SOLUTION<br>
slide12. Example 3 Writing a Two-Column Proof Write a two-column proof. Given ABCD and GDEF are parallelograms. 1. ABCD and GDEF are parallelograms. 1. Given 2. Parallelogram Opposite Angles Theorem 3. Vertical Angles Congruence Theorem 4. Transitive Property of Angle Congruence STATEMENTS REASONS<br>
slide13. Example 4 Using Parallelograms in the Coordinate Plane Find the coordinates of the intersection of the diagonals of ▱LMNO
with vertices L(1, 4), M(7, 4), N(6, 0), and O(0, 0). Midpoint Formula SOLUTION Check Graph ▱LMNO
and draw the diagonals. ✓<br>
slide14. Example 5 Using Parallelograms in the Coordinate Plane Step 2 Step 3 Step 1 Graph the vertices W, X, and Z. SOLUTION So, the coordinates of vertex Y are (2, 1). 5 5 Y<br>
slide15. Example 5 Using Parallelograms in the Coordinate Plane So, the coordinates of vertex Y are (2, 1). Step 3<br>
slide2. Learning Target:
Prove and use properties of parallelograms. Success Criteria:
I can prove properties of parallelograms.
I can use properties of parallelograms.
I can solve problems involving parallelograms in the coordinate plane.<br>
slide3. Vocabulary
parallelogram, p. 362<br>
slide5. Parallelogram Opposite Sides Theorem<br>
slide6. Parallelogram Opposite Sides Theorem Plan in Action<br>
slide7. Example 1 Using Properties of Parallelograms Find the values of x and y. ABCD is a parallelogram by the definition of a parallelogram.
Use the Parallelogram Opposite Sides Theorem to find the
value of x. Opposite sides of a parallelogram are congruent. Subtract 4 from each side. SOLUTION<br>
slide10. Parallelogram Diagonals Theorem<br>
slide11. Example 2 Using Properties of a Parallelogram SOLUTION<br>
slide12. Example 3 Writing a Two-Column Proof Write a two-column proof. Given ABCD and GDEF are parallelograms. 1. ABCD and GDEF are parallelograms. 1. Given 2. Parallelogram Opposite Angles Theorem 3. Vertical Angles Congruence Theorem 4. Transitive Property of Angle Congruence STATEMENTS REASONS<br>
slide13. Example 4 Using Parallelograms in the Coordinate Plane Find the coordinates of the intersection of the diagonals of ▱LMNO
with vertices L(1, 4), M(7, 4), N(6, 0), and O(0, 0). Midpoint Formula SOLUTION Check Graph ▱LMNO
and draw the diagonals. ✓<br>
slide14. Example 5 Using Parallelograms in the Coordinate Plane Step 2 Step 3 Step 1 Graph the vertices W, X, and Z. SOLUTION So, the coordinates of vertex Y are (2, 1). 5 5 Y<br>
slide15. Example 5 Using Parallelograms in the Coordinate Plane So, the coordinates of vertex Y are (2, 1). Step 3<br>