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?
The braces of a bridge support lie along the diagonals of rectangle PQRS. RS = 160 ft, and
QS = 380 ft. In #2-5, find each length.
2. TQ =
3. PQ =
4. ST =
5. PR =
A carpenter measures the diagonals of a piece of wood. In rectangle JKLM, JM = 25 in, and
JP = 14.5 in. In #6-9, find each length.
6. JL =
7. KL =
8. KM =
9. MP =
In #10-11, ABCD is a rhombus. Find each measure. Show work.
10. AB
11. m<ABC
In #12-13, VWXY is a rhombus. Find each measure. Show work.
12. VW
13. m<VWX and m<WYX if
m<WVY = 4c + 10 and
m<XZW = 10c – 5
(over)
In #14-16, find the measures of the numbered angles in each rectangle.
14.
15.
16.
In #17-19, find the measures of the numbered angles in each rhombus.
17.
18.
19.
In #20-27, write whether each statement is sometimes, always or never true.
20. A rectangle is a parallelogram.
21. A rhombus is a square.
22. A parallelogram is a rhombus.
23. A rhombus is a rectangle.
24. A square is a rhombus.
25. A rectangle is a quadrilateral.
26. A square is a rectangle.
27. A rectangle is a square.
28. A triangle is equilateral if and only if the triangle is equiangular. Can you make a similar
statement about a quadrilateral? Explain.