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Name: _____________________________________________ Date: ____________ Hr: ___________
Foundations of Geometry: HOMEWORK #7
Unit 9: Polygons and Quadrilaterals
Section 4: Properties of Rhombuses, Rectangles, and Squares & Review
The diagonals of rhombus WXYZ intersect at point V. Given that m ∠ XZY= 34˚ and WV = 7, find the indicated
measure.
1.
m ∠ WZV=
2.
m ∠ ZVW=
3.
m ∠ VWZ=
4.
WY=
5.
m ∠ XVY=
6.
m ∠ WYZ=
V
Z
Y
The diagonals of rectangle PQRS intersect at point T. Given that m ∠ RPS= 62˚ and QS = 18, find the indicated
measure.
7.
m ∠ QPR=
8.
m ∠ PSR=
9.
ST=
10.
PR=
11.
m ∠ QRP=
The diagonals of square EFGH intersect at point J. Given that GJ = 15, find the indicated measure.
12.
m ∠ EJF=
13.
m ∠ JFG=
14.
FH=
15.
EJ=
16.
EF=
17.
m ∠ EHG=
#18-22: Show all work for each problem. Then, write your final answer on the blank provided.
18. Find the sum of the interior angles of a dodecagon.
18. ________
19. Find the sum of the exterior angles of a pentagon.
19. ________
20. How many sides does a polygon have if the measures of its interior
angles have a sum of 2340°?
20. ________
21.
Find the value of x.
22.
Find the value of x.
21. ________
22. ________
#23-25: Tell whether the figure is a polygon. If it is not, explain why. If it is a polygon, tell whether it is
convex or concave.
23.
24.
25.
23.____________________
24.____________________
25. ___________________
#26 & 27: Classify the polygon by the number of sides. Is it equilateral, equiangular, regular, or none?
26.
27.
26. ________________
27._________________
28.
!
"
x in the regular polygon.
29.
28. ____________________
29.____________________
#30- 35: Find the values of the variables in each parallelogram. Show all work in the space provided.
30.
30. x = ________ y = _________
31.
31. x = ________ y = _________
32.
32. h = ________ k = _________
33.
33. a = ________ b = _________
34.
34. c = _________ d = _________
35.
35. m = _________ n = _________
#
$
%
The measure of one interior angle of a parallelogram is 2 times the
measure of another angle. Find the measure of each angle.
DRAW & LABEL A PICTURE!
37. The measure of one interior angle of a parallelogram is 60 degrees
than the measure of another angle. Find the measure of each angle.
DRAW & LABEL A PICTURE!
36. ∠: _____________
∠:_____________
37. ∠: _____________ more
∠:_____________
38. The measure of one interior angle of a parallelogram is 20 degrees
less than the measure of another angle. Find the measure of each angle.
DRAW & LABEL A PICTURE!
38. ∠: _____________
∠:_____________
39. Find the measure of an interior and an exterior angle of a regular octagon.
39. Int: _______
Ext: ______
40. Find the number of sides in a regular polygon with exterior angle measuring 18˚.
40. _________