Geometry 5.4 Properties of Rhombuses, Rectangles and Squares · 05/12/2016 · Geometry 5.4...
Transcript of Geometry 5.4 Properties of Rhombuses, Rectangles and Squares · 05/12/2016 · Geometry 5.4...
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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
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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
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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 = ________
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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 = ________
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Assignment:5.4 worksheet