Solve the following problems
pertaining to special right triangles.
1. 

a.
Find x.
b.
Find y.

a.
Choose:

b.
Choose:


2. 

a.
Find x.
b.
Find y.

a.
Choose:

b.
Choose:




3. 

The figure
shown on the left is a trapezoid. Using the
information given, find the area of this trapezoid to the
nearest square unit.
Answer


4. 
In
the figure below, ABCD is a rhombus. The
measure of angle A is 150º. Draw the diagonals so
that they intersect at E. The shorter diagonal
measures 10.


a. What
is the measure of angle DEC?
b.
What is the length of the sides of the rhombus to the nearest
integer?
c. What
is the length of the longer diagonal to the nearest
integer?
d.
Using
your answer from part c and the given diagonal length of
10, find the area of the rhombus.
Answer


5. 
The lower base angles in this isosceles trapezoid each
measure 45º. The length of the shorter base is 10
inches and the altitude is 8 inches. Find the length,
in inches, of the longer
base.

Choose:




6. 
The
shorter base in this trapezoid measures 6 units.
AD = 14 units. The
measure of <DAB is 30º and the measure of <CBA is 45º. Find
the number of units in the longer base.

Choose:




7. 

In
the figure on the left, ABCD is a square whose side is 8
units. Find the length of diagonal AC to the
nearest tenth.
Answer


8. 
Given the picture below, find the lengths of the segments
labeled
x, y, z and q.



9. 
The
lengths of the two adjacent sides of parallelogram
ABCD are 8 and 14 units respectively. If the degree measure of the
included angle is 60º, what is the length
of the shorter diagonal of the parallelogram.

Choose:




10. 
A
man is walking his dog on level ground in a straight line
with the dog's favorite tree. The angle of elevation
from the man's present position to the top of a nearby
telephone pole is 30º. The angle of elevation from
the tree to the top of the telephone pole is 45º. If
the telephone pole is 40 feet tall, how far is the man
with the dog from the tree? Express answer to the
nearest tenth of a foot.

Choose:




