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An equiangular quadrilateral.

Vocabulary Handbook: p. . An equiangular quadrilateral. An equilateral quadrilateral. Geometry Handbook pp. 20-21. A regular quadrilateral. Properties of Rectangles: All angles are congruent (90 ) (Definition) All rectangles are parallelograms (6-4-1)

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An equiangular quadrilateral.

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  1. Vocabulary Handbook: p. An equiangular quadrilateral. An equilateral quadrilateral. Geometry Handbook pp. 20-21 A regular quadrilateral. • Properties of Rectangles: • All angles are congruent (90) (Definition) • All rectangles are parallelograms (6-4-1) • Its diagonals are congruent. (6-4-2)

  2. Properties of Rhombuses (Rhombi): • All sides are congruent. (Definition) • All rhombuses are parallelograms. (6-4-3) • Its diagonals are perpendicular. (6-4-4) • Each diagonal bisects a pair of opposite angles. (6-4-5) • Properties of Squares: • All sides & angles are congruent. (Def.) • All squares are parallelograms. (6-4-6) • All squares are rectangles. (6-4-7) • All squares are rhombi. (6-4-8)

  3. Example 1: Craft Application A woodworker constructs a rectangular picture frame so that JK = 50 cm and JL = 86 cm. Find HM.

  4. Example 2: Carpentry The rectangular gate has diagonal braces. Find HJ and HK.

  5. Example 3: TVWX is a rhombus. Find TV and mVTZ.

  6. Example 4: CDFG is a rhombus. How would you find CD?

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