Download Scholarship Geometry Name: Worksheet 6

Scholarship Geometry
Worksheet 6-4
Name:
1. What is another name for:
an equilateral quadrilateral?
an equiangular quadrilateral?
a regular quadrilateral?
In #2-3, ABCD is a rhombus. Find each measure. Show your work.
2. AB
3. m<ABC
In #4-5, VWXY is a rhombus. Find each measure. Show your work.
12. VW
13. m<VWX and m<WYX if
m<WVY = 4c + 10 and
m<XZW = 10c – 5
In #6-8, find the measures of the numbered angles in each rectangle.
6.
7.
8.
In #9-10, LMNP is a rectangle. Find the value of x and the length of each diagonal. Show work.
9. LN = 5x – 8 and MP = 2x + 1
10. LN = 9x – 14 and MP = 7x + 4
(over)
In #11-15, find the measures of the numbered angles in each rhombus.
11.
12.
13.
14.
15.
In #20-27, write whether each statement is sometimes, always or never true.
16. A rectangle is a parallelogram.
17. A rhombus is a square.
18. A parallelogram is a rhombus.
19. A rhombus is a rectangle.
20. A square is a rhombus.
21. A rectangle is a quadrilateral.
22. A square is a rectangle.
23. A rectangle is a square.
24. A triangle is equilateral if and only if the triangle is equiangular. Can you make a similar
statement about a quadrilateral? Explain.