Download Chapter 5 • Test

Chapter 5 • Test
Name
Form B
Period
Date
Part A
Complete each statement.
1.
The three midsegments of a triangle divide the triangle into
.
2.
The diagonals of a parallelogram
3.
Each angle of a regular octagon measures
4.
The length of a midsegment of a trapezoid is the
lengths of the bases.
5.
A quadrilateral in which the diagonals are perpendicular bisectors of each other is
a
and maybe a
.
6.
The measure of an exterior angle of a regular pentagon is
7.
The sum of the measures of the interior angles of a decagon is
8.
The midsegment of a trapezoid is
9.
The diagonals of a kite are
10.
The opposite angles of a parallelogram are
each other.
.
of the
.
.
to the two bases.
.
.
Part B
Find each lettered angle measure.
1.
a=
2.
b=
3.
c=
4.
d=
5.
e=
6.
f=
7.
g=
8.
h=
Part C
Find each lettered measure.
1.
Perimeter = 64
a=
x=
y=
2.
a=
b=
x=
y=
3.
a=
w=
x=
y=
4.
A regular pentagonal mirror frame is to be built from strips of 2-inch-wide pine
lattice. At what angles a and b should the lattice be cut?
a=
b=
Part D
Use the segments and angle at right to construct each figure. Use either a compass and a
straightedge or patty paper.
1.
Kite LMNO using segments y and z as diagonals and using segment x as a side.
(You don’t need to use W.)
2.
Rhombus WAVY using W and segment z as the diagonal WV (You don’t need
to use segments x and y.
Part E
Write a paragraph proof or a flowchart proof for the conjecture: If the opposite sides of a
quadrilateral are congruent, then it is a parallelogram. Hint: Draw KM .
Given: Quadrilateral JKLM with JM  KL and JK  ML
Show: JKLM is a parallelogram
Mixed Review
1.
In the figure at right, AB and CD bisect each other. Is AC parallel to BD ?
Explain.
For Problems 2 and 3, consider the statement: If two triangles are congruent, then two
sides and an angle of one triangle are congruent to two sides and an angle of the other
triangle.
2.
Is the statement true? If not, give a counterexample or explain why it is not true.
3.
Write the converse of the statement. Is the converse true? If not, give a
counterexample or explain why it is not true.
4.
Find x.
In Problems 5–9, use the figure at right to name an example of each of these:
5.
An inscribed triangle
6.
An isosceles triangle
7.
A central angle
8.
A concave polygon
9.
A right triangle
For Problems 10–12, mK=48°.
10.
What is the measure of the complement to K?
11.
What is the measure of the supplement to K?
12.
What is the reflex measure of K?