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Squares, Rhombi and Trapezoids:

Squares, Rhombi and Trapezoids:. Squares, Rhombi and Trapezoids:. Rhombus:. Squares, Rhombi and Trapezoids:. Rhombus: A parallelogram with four congruent sides. Squares, Rhombi and Trapezoids:. Rhombus: A parallelogram with four congruent sides. Squares, Rhombi and Trapezoids:.

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Squares, Rhombi and Trapezoids:

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  1. Squares, Rhombi and Trapezoids:

  2. Squares, Rhombi and Trapezoids: • Rhombus:

  3. Squares, Rhombi and Trapezoids: • Rhombus: • A parallelogram with four congruent sides.

  4. Squares, Rhombi and Trapezoids: • Rhombus: • A parallelogram with four congruent sides.

  5. Squares, Rhombi and Trapezoids: • In addition to all the properties of a parallelogram, a rhombus has three additional properties:

  6. RSTV is a rhombus. • If the measure of angle SWT = (2x+8) find X. S T W R V

  7. RSTV is a rhombus. • If the measure of angle SWT = (2x+8) find X. • What do you know? S T W R V

  8. RSTV is a rhombus. • If the measure of angle SWT = (2x+8) find X. • What do you know? SWT is a right angle. S T W R V

  9. RSTV is a rhombus. • If the measure of angle WRV = (5x+5) and WRS = (7X -19). What is the value of X? S T W R V

  10. RSTV is a rhombus. • If the measure of angle WRV = (5x+5) and WRS = (7X -19). What is the value of X? What do you know? S T W R V

  11. RSTV is a rhombus. • If the measure of angle WRV = (5x+5) and WRS = (7X -19). What is the value of X? What do you know? The angles are equal. S T W R V

  12. In rhombus DLMP, DM=24, angle LDO=43, and DL=13. Find each of the following: • OM = • Angle DOL= • Angle DLO= • Angle DML= • DP= D L O P M

  13. Squares:

  14. Squares: • A parallelogram with four congruent sides and four right angles.

  15. Squares: • A parallelogram with four congruent sides and four right angles. • Since a square is a special parallelogram, it has all the properties of a parallelogram, in addition to those of a rectangle and a rhombus.

  16. Squares:

  17. MATH is a square. If MA=8, then AT= Angle HST= Angle MAT= If HS=2, then HA= and MT= A M S H T

  18. MATH is a square. If angle AED=(5X+5) find x X= A M S H T

  19. MATH is a square. If angle AED=(5X+5) find x X= If angle BAC=(5X) find x X= A M S H T

  20. Write down the key for trapezoids and put in a sketch of each.

  21. Median: • You can find the length of the median by averaging the two bases.

  22. In trapezoid ABCD, EF is a median. Find each of the following: AB=25, DC=13, EF= AE=11, FB=8, AD= BC= AB=29, EF=24, DC= AB=7Y+6, EF=5Y-3, DC=Y-2, Y= C D E F A B

  23. Isosceles Trapezoid: • A trapezoid with congruent legs.

  24. Isosceles Trapezoid: • A trapezoid with congruent legs.

  25. Isosceles Trapezoid: • A trapezoid with congruent legs. • Exactly one pair of parallel sides. • Median is the average of the bases. • Legs are congruent. • Diagonals are congruent. • Base angles are congruent.

  26. DONE is an isosceles trapezoid. Angle EDO=110 and angle DEN = (15X-5). Find X. D O S N E

  27. DONE is an isosceles trapezoid. EO=3X-7 and DN=20. Find X. D O S N E

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