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WARM-UP

WARM-UP. 1) WXYZ is a rectangle. If ZX = 6 x – 4 and WY = 4 x + 14, find ZX. 2) WXYZ is a rectangle. If WY = 26 and WR = 3 y + 4, find y. 3) RSTU is a rectangle. Find m  VRS. 4) RSTU is a rectangle. Find m  RVU. 6 -5 Rhombi and Squares. Rhombus.

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WARM-UP

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  1. WARM-UP 1) WXYZ is a rectangle. If ZX = 6x – 4 and WY = 4x + 14, find ZX. 2) WXYZ is a rectangle. If WY = 26 and WR = 3y + 4, find y. 3) RSTU is a rectangle. Find mVRS. 4) RSTU is a rectangle. Find mRVU.

  2. 6-5 Rhombi and Squares

  3. Rhombus • A quadrilateral with four congruent sides.

  4. Rhombus • The diagonals of a rhombus are perpendicular. • Each diagonal of a rhombus bisects two angles.

  5. ABCD is a Rhombus • Find the measure of angles 1, 2, 3, and 4. A B 4 E 2 62º 3 1 D C

  6. Example ALGEBRA The diagonals of rhombus WXYZ intersect at V. If WX = 8x – 5 and WZ = 6x + 3, find x. WX = WZ 8x – 5 = 6x + 3 2x – 5 =3 2x = 8 x = 4

  7. Example ABCD is a rhombus. Find mCDB if mABC = 126. mCDB is ½ of mABC mCDB = 63

  8. Square • A quadrilateral with four right angles and four congruent sides. It’s a combo of a rectangle and a rhombus!!!! • ALL THEOREMS for a RECTANGLE and RHOMBUS also apply to a square.

  9. Venn Diagram

  10. Example Sachin has a shape he knows to be a parallelogram and all four sides are congruent. Which information does he need to know to determine whether it is also a square? A. The diagonal bisects a pair of opposite angles. B. The diagonals bisect each other. C. The diagonals are perpendicular. D. The diagonals are congruent.

  11. Homework • Page 435 #7-12, 23-33, 50

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