Download Geometry—More angles 1) In the diagram below, is shown with

1) In the diagram below,
extended through point D.
If
Geometry—More angles
2) In the diagram below,
is shown with
. What is
?
,
, and
, what is the value of x?
3) In the accompanying diagram of
,
is
extended to D, exterior angle CBD measures 145°, and
.
4) In the accompanying diagram of
extended through D,
, and
What is the measure of
What is
and
,
is
.
?
?
5) In the diagram below of
extended through P to T,
, and
, side
is
,
. Find
.
6) In the accompanying diagram of
,
is
an equilateral triangle and
. What is the value
of x, in degrees?
7) Side
1)
2)
3)
4)
of
is extended through Q to point T. Which statement is not always true?
8) Which set of numbers represents the lengths of the sides of a triangle?
1)
2)
3)
4)
9) Which set can not represent the lengths of the sides of a triangle?
1)
2)
3)
4)
10) If the lengths of two sides of a triangle are 4 and 10, what could be the length of the third side?
1) 6
2) 8
3) 14
4) 16
11) Sara is building a triangular pen for her pet rabbit. If two of the sides measure 8 feet and 15 feet, the length
of the third side could be
1) 13 ft
2) 7 ft
3) 3 ft
4) 23 ft
12) In
1)
2)
3)
4)
,
,
13) In
largest?
1)
2)
3)
4)
,
,
, and
, and
. Which statement about the angles of
. Which list has the angles of
must be true?
in order from smallest to
14) In
,
of this triangle?
1)
2)
3)
4)
,
, and
15) In the accompanying diagram of equilateral
triangle ABC,
and
.
. Which expression correctly relates the lengths of the sides
16) In the diagram below of
, E is a point on
and B is a point on
, such that
. If
,
, and
, find the length of
.
If AB is three times as long as DE, what is the
perimeter of quadrilateral ABED?
17) In
, point D is on
is the length of
?
, and point E is on
such that
. If
,
, and
, what
18) If the midpoints of the sides of a triangle are
connected, the area of the triangle formed is what part
of the area of the original triangle?
1
1
2
3
1)
2)
3)
4)
4
3
3
8
19) In the diagram below of
midsegment of
,
,
Find the perimeter of
.
20) In the diagram of
below,
,
, and
. Find the perimeter of the triangle
formed by connecting the midpoints of the sides of
.
21) In the diagram below of
of
, O is the midpoint of
of
.
If
,
, and
of parallelogram CDOG?
21) On the set of axes below, graph and label
the midpoint of
and H is the midpoint of
graph. Explain why
.
with vertices at
,
,
is a
, and
.
, D is the midpoint
, and G is the midpoint
, what is the perimeter
, and
. If G is
, state the coordinates of G and H and label each point on your