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Mth – PRACTICAL GEOMETRY

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Question 1 of 20 0% read

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?

A 3
B 1
C 2
D 6

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

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