Unit 8 Part 2 Properties of Quadrilaterals Squares and Rhombi.

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Presentation transcript:

Unit 8 Part 2 Properties of Quadrilaterals Squares and Rhombi

Squares Is a quadrilateral with four congruent sides, four 90 degree angles, and congruent diagonals.

Square All sides are congruent. Opposite sides are parallel. All angles are 90 degrees. The diagonals are congruent. The diagonals bisect each other into 4 congruent segments. The diagonals intersect at 90 degrees. The ∆s created by the diagonals, make the special right ∆, 45,45 90.

Rhombi (rhombus) A rhombus is a quadrilateral with four congruent sides, opposite sides are parallel, and the diagonals bisect each other.

Rhombus Opposite sides are parallel. All sides are congruent. Opposite angles are congruent. Consecutive angles are supplementary. Diagonals bisect each other at 90 degrees.

Review

Examples Find the length of the diagonal in the square below. A B P D C AP= 2x – 3 DP= x + 6

Example In the rhombus below what is the m ∠ 1 and m ∠ 2 ?