1.
In an isosceles triangle, the median from the vertex angle to the base is also:
A
Altitude and angle bisector
B
Only altitude
C
Only angle bisector
D
Neither altitude nor angle bisector
2.
What is the centroid of a triangle?
A
The point of intersection of the medians
B
The point of intersection of the altitudes
C
The point of intersection of perpendicular bisectors
D
The point of intersection of angle bisectors
3.
How many medians can a triangle have?
4.
The medians of a triangle are concurrent at a point that divides each median in the ratio:
A
2:1 from the vertex
B
1:1
C
3:1 from the vertex
D
1:2 from the vertex
5.
What is the point of concurrency of the medians of a triangle called?
A
Centroid
B
Orthocenter
C
Circumcenter
D
Incenter
6.
Which tool is used to draw perpendicular bisectors in practical geometry?
A
Compass and ruler
B
Protractor only
C
Set square only
D
Divider
7.
The perpendicular bisectors of the sides of a triangle always meet at:
A
A point that is equidistant from the vertices
B
A point inside the triangle only
C
A point on the triangle only
D
A point outside the triangle only
8.
Which tool is used to draw perpendicular bisectors in practical geometry?
A
Compass and ruler
B
Protractor only
C
Set square only
D
Divider
9.
In a right triangle, the altitude from the right-angle vertex to the hypotenuse:
A
Falls inside the triangle
B
Falls outside the triangle
C
Is the same as the hypotenuse
D
Is one of the legs
10.
What is the orthocenter of a right triangle?
A
The right-angle vertex
B
The midpoint of the hypotenuse
C
Inside the triangle
D
Outside the triangle
11.
The altitude of a triangle is a line segment drawn from a vertex:
A
Perpendicular to the opposite side
B
Parallel to the opposite side
C
Bisecting the opposite side
D
Bisecting the angle at the vertex
12.
Which of the following cannot be constructed as a triangle?
A
3 cm, 4 cm, 8 cm
B
5 cm, 6 cm, 7 cm
C
4 cm, 5 cm, 6 cm
D
6 cm, 8 cm, 10 cm
13.
The incenter of a triangle is the point of concurrency of:
A
Angle bisectors
B
Medians
C
Altitudes
D
Perpendicular bisectors
14.
In a scalene triangle, the perpendicular bisectors:
A
Meet at a point inside or outside
B
Always meet inside
C
Never meet
D
Always meet on the triangle
15.
In an equilateral triangle, the altitude and median from the same vertex are:
A
The same line
B
Perpendicular lines
C
Parallel lines
D
Different lines
16.
Can a triangle be constructed if two sides and the included angle are given?
A
Yes, by SAS criterion
B
Yes, but only one triangle is possible
C
No, not sufficient information
D
Yes, if the angle is obtuse
17.
What is the altitude of a triangle in an obtuse triangle from an acute vertex?
A
Falls outside the triangle
B
Falls inside the triangle
C
Falls on the opposite side
D
Coincides with a side
18.
What is the point equidistant from all sides of a triangle?
A
Incenter
B
Circumcenter
C
Centroid
D
Orthocenter
19.
In a scalene triangle, the perpendicular bisectors:
A
Meet at a point inside or outside
B
Always meet inside
C
Never meet
D
Always meet on the triangle
20.
What is the orthocenter of an obtuse triangle?
A
Outside the triangle
B
Inside the triangle
C
On the triangle
D
At the midpoint of the longest side