6 46 5 Rhombuses Rectangles Squares Rhombuses Definition
6 -4/6 -5: Rhombuses, Rectangles & Squares
Rhombuses • Definition – a quadrilateral with 4 congruent sides • Theorem – the diagonals of a rhombus are perpendicular • Theorem – each diagonal of a rhombus bisects a pair of opposite angles
Rectangles • Definition – a quadrilateral with 4 right angles • Theorem – the diagonals of a rectangle are congruent
Squares • Definition – a quadrilateral with 4 right angles and 4 congruent sides
EX 1: Classify parallelograms ABCD & EFGH as rectangles, rhombuses, or squares. Explain.
EX 2: What are the measures of the numbered angles in rhombuses ABCD and PQRS? Justify your answer.
EX 3: If LN = 4 x – 17 & MO = 2 x + 13, how long are the diagonals of rectangle LMNO? • What type of triangle is PMN? Explain.
6 -4 Classwork from the Workbook Standard Honors • Pg 261 #1 – 3, 6 • Pg 261 #1 – 3, 7 • Pg 262 #1 – 6 • Pg 262 ALL
EX 4: What is the most precise name for this parallelogram? A) B) Rhombus – a diagonal bisects the opposite angles Square – diagonals are congruent (rectangle) and are ┴ (rhombus)
Real World Application! vertices?
Proofs • Complete proofs on pages 258, 259, 263, and 264 • Use distance formula, slope formula, and/or midpoint formula for the last two proofs
6 -5 Classwork from the Workbook Standard • Pg 265 #3, 4 Honors • Pg 265 #3, 4 • Pg 267 #6, 7 • Pg 267 #2, 4, 6, 7
Honors: 6 -4/6 -5 Assignments Primary Assignment: join. quizizz. com ¨Codes: n Period 1: n Period 5: n Period 6: n Secondary Assignment: ¨Textbook pg 424 – 425 #1, 6, 7, 10 – 12, 18, 21, 23 - 31 ¨Textbook pg 434 #4, 5 n
Standard: 6 -4/6 -5 Assignments Primary Assignment: join. quizizz. com ¨Codes: n Period 2: n Period 4: n Period 7: n Secondary Assignment: ¨Textbook pg 424 – 425 #1, 6, 7, 10 – 12, 18, 21, 23 - 31 ¨Textbook pg 434 #4, 5 n
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