Areas of Parallelograms and Triangles

Class 9 · Mathematics

80 questions31 easy31 medium18 hard

Sample Questions

Q1.In parallelogram ABCD, diagonal AC divides it into triangles ABC and ACD. These triangles are:

  • AEqual in area but not congruent
  • BCongruent
  • CSimilar but not congruent
  • DNeither equal in area nor congruent

Q2.Two triangles have the same base and equal areas. Then the line joining their vertices opposite to the common base is:

  • APerpendicular to the base
  • BParallel to the base
  • CEqual to the base
  • DA bisector of the base

Q3.If the area of triangle ABC is 60 cm² and D is the midpoint of BC, then area of triangle ABD is:

  • A15 cm²
  • B20 cm²
  • C30 cm²
  • D40 cm²

Q4.In a parallelogram ABCD of area 96 cm², if M is the midpoint of CD, then area(AMD) =

  • A12 cm²
  • B24 cm²
  • C32 cm²
  • D48 cm²

Q5.Two triangles ABC and ABD are on the same base AB. If the line CD is bisected by AB at O, then:

  • Aarea(ABC) = area(ABD)
  • Barea(ABC) = 2 × area(ABD)
  • Carea(ABC) = area(ABD)/2
  • DCannot determine relationship

Q6.This is a sample question to preview what you'll get in the full practice test...

  • A. Option one
  • B. Option two
  • C. Option three
  • D. Option four
Create a test to practice all 80 questions →

Concepts Covered

Area of ParallelogramArea of TriangleBase and Altitude of ParallelogramCongruent Figures and AreaFigures on Common BaseMedian of a TriangleParallelograms on the Same Base and Between Same ParallelsRelation Between Areas of Triangles and ParallelogramsTriangles on the Same Base and Between Same Parallels

Ready to practice?

Create a timed test from 80 questions in Areas of Parallelograms and Triangles. Pick your difficulty, get instant scores.

Start Practice Test