Geometry 5.4 Properties of Rhombuses, Rectangles and Squares · 2019. 12. 5. · December 11, 2019 Geometry 5.4 Properties of Rhombuses, Rectangles and Squares Learning Target: I
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December 11, 2019
2(a + 3) 5a - 3
68˚
(b - 9)˚
(2c+6)˚10
Warm-upFind the values of the variables in the parallelogram.
a = ___ b = ___ c = ___
3 77 53
December 11, 2019
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)
December 11, 2019
defn: quadrilateral w/2 sets of || sides defn: 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 of2) diagonals are ≅
equiangular
parallelogram
December 11, 2019
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 of2) diagonals are ⊥3) diagonals bisect ∠s
equilateral regularol
so
December 11, 2019
Classify the parallelogram. Explain.
Rhombus SquareRectangle
1. 2.
3. 4.
6.
–– ––
5.
L l rhombus
1 trectangle
square rectangle
0
square rhombus
December 11, 2019
Classify the quadrilateral. Explain.
Iparmainrame
rhombus
II square
December 11, 2019
Classify the special quadrilateral. Then find the values of x and y.
7.
8.m∠NLM = (7y + 3)˚
5 6 8 thy 119718
6 3112g 96
180Z
my84
yab
7yt 3 45
2 1 4 7 74 42
2x 2x9 6
1 2 7
8 2
4 X
December 11, 2019
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 = ________
f180 28 28
28
124 1428 2 L
9 f r18
December 11, 2019
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
34 I
14 n
112 it f7 680 112
180 68
December 11, 2019
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 = ________
90
45 IsA30
15
December 11, 2019
Assignment: 5.4 worksheet
December 11, 2019
Geo 5.4 wksht answers #1-5
2. Rhombus parallelogram & diag are ⊥
3. Rectangle
Parallelogram & diag ≌
1.
X
X XXXXXXXXX
XXXX
XX XX X
X X
4. Square
Prarallelogram, 4 rt ∠s & 4 ≌ sides 5. Parallelogram
diag bisect each other
December 11, 2019
Geo 5.4 wksht answers #6-126.a. 90˚ b. 56˚ c. 56˚
d. 112˚ e. 5 f. 5
7.a. 53˚ b. 90˚ c. 74˚
d. 37˚ e. 8 f. 16
8.a. 90˚ b. 45˚ c. 45˚
d. 1˚ e. 2
9. FG = 7, x = 30, y = 5 10. x = 6, KM = 30, NL = 30
11. x = 5, WZ = 39 12. x = 13, m∠F = 117˚, m∠E = 63˚
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