bell work: what geometric name(s) could you give each polygon? what properties/characteristics do...
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Parallelogram Notes for Toolkit Definition – a quadrilateral with 2 pairs of parallel sides Turn to core book page 246 Theorem 1 – opposite sides of a parallelogram are congruent Theorem 2 – opposite angles are congruentTRANSCRIPT
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Bell work: What geometric name(s) could you give
each polygon? What properties/characteristics do you
observe for each polygon?
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6-2 & 6-3: Parallelograms
Rigor: Use properties of parallelograms to solve equations and prove a given quadrilateral is a parallelogram.Relevance – product design
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Parallelogram Notes for Toolkit Definition – a quadrilateral
with 2 pairs of parallel sides
Turn to core book page 246 Theorem 1 – opposite sides of a
parallelogram are congruent
Theorem 2 – opposite angles are congruent
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Parallel Notes Continued: Theorem 3 – consecutive
angles of a parallelogram are supplementary
Theorem 4 – diagonals of a parallelogram bisect each other
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Using Parallelogram Theorems
Ex 1: Solve for each variable in the parallelograms. Then calculate the measure of each interior angle.
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EX 2: Solve for the variables in the parallelogram. How long is each diagonal?
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EX 4: Use a system of equations to find the LN and KM.
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EX 5: Coordinate GeometryThree vertices of □ABCD are A(1,-2), B(-2,3), and D(5, -1). What are the coordinates of C?
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6-2 Classwork from the Core Book Standard:
Pg 249 ALL Pg 251 #2, 7, 10,
12, 14Pg 252 #2, 3
Honors:Pg 249 ALL Pg 251 #7, 9, 10,
14, 15Pg 252 #2, 3
You have 20 minutes to start it. Whatever you don’t finish is homework. Due Wednesday.
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6-3 Notes: Proving a Quadrilateral is a Parallelogram If the converses of the 6-2 definitions and
theorems are also true, then the quadrilateral is a parallelogram.
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EX 1: Is there enough information to prove the quadrilateral is a parallelogram? Explain.
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Ex 2: For what values of x & y would the quadrilaterals be parallelograms?
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Proofs from the core book
Turn to page 253 – 254 and complete proofs 1 & 2
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6-3 classwork Core book pg 255 #1 – 5
There will be no additional homework given for chapter 6 so that you can focus on your quarter project!