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Grade 7 - Math - Triangles

Total questions: 30

Worksheet time: 43mins

Name
Class
Date
1.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
2.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
3.
Which of the following describes a median of a triangle?
a)
A segment that is perpendicular to the side of a triangle at its midpoint.
b)
A segment with endpoints at the vertex and midpoint of the opposite side.
c)
A segment that connects two midpoints of two sides.
d)
A segment that connects the vertex and the opposite side at 90 degrees. 
4.
Which of the following words describes the point shown in the figure?
a)
A. Centerpoint
b)
B. Orthocenter
c)
C. Centroid
d)
D. Midpoint
5.
10. What type of lines are shown
a)
perpendicular bisectors
b)
medians
c)
altitudes
d)
angle bisectors
6.
The centroid is the point of concurrency of the 3 ____ of a triangle. 
a)
Medians
b)
Midsegments
c)
Perpendicular Bisectors
d)
Angle Bisectos
7.
Which angle is the vertex angle?
a)
<C
b)
<A
c)
<B
8.
Which segment is the base?
a)
Segment AB
b)
Segment BC
c)
Segment AC
9.

Name the segment/line/ray shown in the picture.

a)

Perpendicular Bisector

b)

Angle Bisector

c)

Median

d)

Altitude

10.

Name the segment/line/ray shown in the picture.

a)

Perpendicular Bisector

b)

Angle Bisector

c)

Median

d)

Altitude

11.

Name the segment/line/ray shown in the picture.

a)

Perpendicular Bisector

b)

Angle Bisector

c)

Median

d)

Altitude

12.

The three altitudes of a triangle intersect at the_______________.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

13.

The three medians of a triangle intersect at the_______________.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

14.

The three angle bisectors of a triangle intersect at the_______________.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

15.

Name the point of concurrency shown.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

16.
Define: INCENTER OF A TRIANGLE
a)
the intersection point of the three angle bisectors of a triangle 
b)
when three or more lines intersect at a single point 
c)
the intersection point of the three perpendicular bisectors of a triangle 
d)
the point of intersection of three or more lines 
17.
9. A segment from the vertex of a triangle to the opp. side that splits the angle into 2 equal angles.
a)
incenter
b)
angle bisector
c)
perpendicular bisector
d)
circumcenter
18.
13. Which line is an angle bisector?
a)
XY
b)
BY
c)
AZ
d)
XC
19.
If S is the incenter, what type of segments are drawn?
a)
medians
b)
angle bisectors
c)
perpendicular bisectors
d)
altitudes
20.

Point of Concurrency

a)

In a triangle, a line, segment, or ray that passes through the midpoint of a side and is perpendicular to that side

b)

Three or more lines that intersect at a common point.

c)

The point of intersection of concurrent lines

d)

The point of concurrency of the perpendicular bisectors of a triangle.

e)

The point of concurrency of the angle bisectors of a triangle.

21.

What kind of triangle is this?

a)

Obtuse Scalene

b)

Right Isosceles

c)

Acute Equilateral

d)

Right Scalene

22.

An ISOSCELES triangle has _____________.

a)

3 equal sides

b)

4 equal sides

c)

no equal sides

d)

at least 2 equal sides

23.
In a triangle, how many total degrees are there?
a)
100%
b)
180 degrees
c)
it varies
d)
360 degrees
24.
Suhail was supposed to draw a(n) triangle with no equal sides. Which of the figures below could have been Suhail's?
a)
Figure A
b)
Figure B
c)
Figure C
d)
Figure D
25.
Each of the options below show the measurements of the 3 angles in a triangle. Which of the options is NOT a scalene triangle?
a)
28 degrees
45 degrees
107 degrees
b)
75 degrees
25 degrees
80 degrees
c)
91 degrees
43 degrees
46 degrees
d)
75 degrees
30 degrees
75 degrees
26.
Which type of triangle is formed given the following angle measurements?
Angle 1: 20 degrees
Angle 2: 30 degrees
Angle 3: 80 degrees
a)
Acute
b)
Obtuse
c)
Right
d)
No triangle
27.
Which type of triangle is formed by the following angle measurements?
Angle 1: 60 degrees
Angle 2: 60 degrees
Angle 3: 60 degrees
a)
Equilateral
b)
Scalene
c)
Isosceles
d)
No triangle
28.
Find the measure of the missing angle.
a)
47
b)
57
c)
53
d)
133
29.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
30.

Right triangle ABC has an acute angle measuring 42°. What is the measure of the other acute angle?

a)

42°

b)

48°

c)

There is not enough information.

d)

138°

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