Bell Work A parallelogram has the vertices A(-2, 4), B(-3, -1), C(2, -2) and D(3, 3).

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Presentation transcript:

Bell Work A parallelogram has the vertices A(-2, 4), B(-3, -1), C(2, -2) and D(3, 3).

6-4: Rhombuses, Rectangles & Squares

Rhombuses Definition – a parallelogram 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 parallelogram with 4 right angles Theorem – the diagonals of a rectangle are congruent

Squares Definition – a parallelogram with 4 right angles and 4 congruent sides Think of a square as the baby of a rectangle and a rhombus!

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 PQPS? 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 Core Book Standard Pg 261 #1 – 3, 6, 8, 9, 11, 12 Pg 262 ALL Honors Pg 261 #1 – 3, 7 – 9, 12, 13 Pg 262 ALL