____
1. A right triangle is placed in a convenient position in the first quadrant of a coordinate plane. Which is the
missing label for the vertex?
y
(0,0)
____
(u, 0)
x
a.
c.
b.
d.
2. An isosceles right triangle is placed in a convenient position in the first quadrant of a coordinate plane. Which
is the missing label for the vertex?
y
(0,0)
(p, 0)
x
a.
c.
b.
d.
____
3. In a triangle, a segment connecting the midpoints of two sides of the triangle is called a _____.
a. shortcut
c. centroid
b. midsegment
d. Vertex
____
4. Solve for x given
=
and
=
. Assume B is the midpoint of
and D is the midpoint of
C
B
D
A
a.

E
c. 2
1
2
b. 4
____
d.
5. Solve for x given
=
and
=

1
4
. Assume B is the midpoint of
and D is the midpoint of
C
B
A
D
E
a. 1
b.
1

2
____
c. 1
d. 2
6. For the triangle shown, VS = 5 and VQ = 6. Then PQ = ______.
a. 11
b. 12
c. 10
d. 5
7. A right triangle is placed in a convenient position on the first quadrant of a coordinate plane. If
, find the distance between
.
and
(0,a)
y
(0,0)
(b, 0)
A.
x
B. 85
C. 45
D. 5
8. How many midsegments does a triangle have?
A. 1
B. 2
9. Solve for x given
C. 3
=
and
D. 4
=
. Assume B is the midpoint of
C
B
D
A
A. 5
E
B. 4
C. 2
D. 1
10. Refer to the figure below.
If EF = 5x + 6 and AC = 3x – 2, then what is the length of
A. 25
B. 26
C. 28
?
D. 8
11. For the given triangle, state the relationships between
and
.
and D is the midpoint of
A.
B.
and
C.
AB = 2 DF
12. The coordinates of the midpoints of the sides of a triangle are L(0, 1), M(4, 0), and N(2, –2). Find the
coordinates of the vertices of the triangle.
A. ( -2, -2), (2, 3), (6, -3)
B. ( 4, 0), (-1, 3), (3, -2)
13. The midpoints of the sides of a triangle are
C. ( 0, 0, (-1, 0) (0, 1)
and
What are the coordinates of the
vertices?
A. ( 4, 3) ( -2, 0) (5, 0)
B.(2, 10) (6, 4) ( 4, 2)
In the diagram,
are midsegments of triangle ABC. Find the value of the variable if
.
14. x
A. 7
B. 8
C. 9
D. 12
15. z
A. 12
B. 13
C. 15
D. 20