6-4/6-5: Rhombuses, Rectangles & Squares.

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Presentation transcript:

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 = 4x – 17 & MO = 2x + 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 262 #1 – 6 Pg 261 #1 – 3, 7 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 Honors Pg 265 #3, 4 Pg 267 #6, 7 Pg 265 #3, 4 Pg 267 #2, 4, 6, 7

Honors: 6-4/6-5 Assignments Primary Assignment: join.quizizz.com Codes: Period 1: Period 5: Period 6: Secondary Assignment: Textbook pg 424 – 425 #1, 6, 7, 10 – 12, 18, 21, 23 - 31 Textbook pg 434 #4, 5

Standard: 6-4/6-5 Assignments Primary Assignment: join.quizizz.com Codes: Period 2: Period 4: Period 7: Secondary Assignment: Textbook pg 424 – 425 #1, 6, 7, 10 – 12, 18, 21, 23 - 31 Textbook pg 434 #4, 5