Warm Up 1. Date: 2/27/12 Factor the expression by finding the greatest common factor (GCF). y= 3x2 +18x +45 y = 3(x2 +6x +15)

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Presentation transcript:

Warm Up 1. Date: 2/27/12 Factor the expression by finding the greatest common factor (GCF). y= 3x2 +18x +45 y = 3(x2 +6x +15)

A rhombus is a parallelogram with four congruent sides. A rectangle is a parallelogram with four congruent angles. (four right angles) A square is a parallelogram with four congruent sides and four congruent angles.

The statement is always true. The statement is sometimes true.

All four sides are congruent, so the quadrilateral is at least a rhombus. The given angle is not 90, so this cannot be a square. The quadrilateral is a rhombus. Always true, all sides in a square are congruent. Four congruent sides and four congruent angles is a square.

a. No, we are given that opposite sides are congruent, so all we can say is that the frame is a parallelogram. b. Since the diagonals are congruent, we can say the the frame is a rectangle because diagonals in a rectangle are congruent.

opposite sides congruent Rhombuses Rectangles Squares four congruent sides four congruent angles

A statement that can be broken into two statements. Conditional statement : If a parallelogram is a rhombus, then it has four congruent sides. Converse: If a parallelogram has four congruent sides, then it is a rhombus.