1. 6-2 & 6-3: Parallelograms
Rigor: Use properties of parallelograms to solve equations and prove a given quadrilateral is a parallelogram.
Relevance – product design

2. Parallelogram Notes
Definition – a quadrilateral with 2 pairs of parallel sides
Theorem 1 – opposite sides of a parallelogram are congruent
Theorem 2 – opposite angles of a parallelogram are congruent

3. Parallel Notes Continued:
Theorem 3 – consecutive angles of a parallelogram are supplementary
Theorem 4 – diagonals of a parallelogram bisect each other
Do proofs & reflection questions for examples 2 & 4 of workbook pg

4. Using Parallelogram Theorems
Ex 1: Solve for x in the parallelograms. Then calculate the measure of each interior angle.

5. EX 2: Solve for the variables in the parallelogram
EX 2: Solve for the variables in the parallelogram. How long is each diagonal?

6. EX 3: Use a system of equations to find the LN and KM.

7. EX 4: Coordinate Geometry
Three vertices of □ABCD are A(1,-2), B(-2, 3), and D(5, -1). What are the coordinates of C?

8. 6-2 Classwork from the Workbook
Standard: Pg 251 #1 – 8, 10 – 14
Honors: Pg 251 #1 – 14

9. 6-3 Notes: Proving a Quadrilateral is a Parallelogram
If the converses of the 6-2 definitions and theorems are true, then the quadrilateral is a parallelogram.

11. EX 1: Is there enough information to prove the quadrilateral is a parallelogram? Explain.
No, there is not enough information to prove HIJK is a parallelogram because the opposite sides are not marked congruent.

12. Ex 2: For what values of x & y would the quadrilaterals be parallelograms?

13. Proofs from the workbook
Turn to page 253 – 254 and complete proofs 1 & 2

14. 6-3 classwork
Workbook pg 255 #1 – 7

15. Honors: 6-2/6-3 Assignments
Primary Assignment: join.quizizz.com
Codes:
Period 1:
Period 5:
Period 6:
Secondary Assignment:
Textbook pg 407 #9 – 14; pg 415 #

16. Standard: 6-2/6-3 Assignments
Primary Assignment: join.quizizz.com
Codes:
Period 2:
Period 4:
Period 7:
Secondary Assignment:
Textbook pg 407 #9 – 13; pg 415 #