Geometry 5.4Properties of Rhombuses,

Rectangles and Squares

Learning Target: I can determine the properties of rhombuses,

rectangles and squares and use them to find missing lengths and angles (G-CO.11)

defn: quadrilateral w/2 sets of || sidesdefn: parallelogram w/ 4 rt. ∠s

Properties:1) opp. sides ≅

2) opp. ∠s ≅

3) consec. ∠s are supp.4) diagonals bisect each other

Properties:1) all properties of

2) diagonals are ≅

equiangular

defn: parallelogram w/ 4 ≅ sides defn: parallelogram w/ 4 rt. ∠s and 4 ≅ sides

Properties:1) all properties of

2) diagonals are ≅

3) diagonals are ⊥4) diagonals bisect ∠s

Properties:1) all properties of

2) diagonals are ⊥3) diagonals bisect ∠s

equilateral regular

Classify the parallelogram. Explain.

Rhombus SquareRectangle

1. 2.

3. 4.

6.

–– ––

5.

RectangleRhombus

Classify the special quadrilateral. Then find the values of x and y.

7.

8.

The diagonals of rectangle PQRS intersect at T. Given that m∠RPS = 62° and QS = 18, find the indicated measures.

9. m∠QPR = ________

10. m∠PTQ = ________

11. ST = ________

12. PR = ________

The diagonals of rhombus WXYZ intersect at V. Given the m∠XZY = 34° and WV = 7, find the indicated measures.

13. m∠WZV = ________

14. WY = ________

15. m∠XYZ = ________

16. VY = ________ yZ

V

The diagonals of square EFGH intersect at J. Given that GJ = 15, find the indicated measures.

17. m∠EJF = ________

18. m∠JFG = ________

19. FH = ________

20. EJ = ________

Assignment:5.4 worksheet