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Mathematics Class 10 Triangles English buzzer

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Testing 1

by grace 10 questions May 13, 2026

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01

If triangle ABC is similar to triangle PQR, what can be inferred about their corresponding angles and sides?

100 pts
  • A Corresponding angles are proportional, and sides are equal.
  • B Corresponding angles are equal, and sides are proportional.
  • C Both corresponding angles and sides are equal.
  • D Corresponding angles are proportional, and sides are proportional.
02

How do congruent triangles differ from similar triangles?

100 pts
  • A Congruent triangles have equal angles; similar triangles have proportional sides.
  • B Congruent triangles have equal corresponding parts; similar triangles only have proportional sides.
  • C Congruent triangles are identical in shape and size; similar triangles are identical in shape but not necessarily size.
  • D Congruent triangles can be rotated; similar triangles cannot.
03

What is the direct consequence if a line is drawn parallel to one side of a triangle, intersecting the other two sides?

100 pts
  • A The triangle becomes an isosceles triangle.
  • B The triangle's area is halved.
  • C The other two sides are divided in the same ratio.
  • D The angle opposite the parallel line becomes 90 degrees.
04

To prove two triangles similar by the SSS criterion, what is the correct order of steps?

100 pts
  • A Show corresponding sides are proportional, then conclude similarity.
  • B Show corresponding angles are equal, then show sides are proportional.
  • C Measure all side lengths, then check if angles are equal.
  • D Prove congruence, then conclude similarity.
05

Which statement best defines the Pythagorean Theorem?

100 pts
  • A The sum of the squares of the two shorter sides of any triangle equals the square of the longest side.
  • B In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
  • C The area of a square built on the hypotenuse is less than the area of squares on the other two sides.
  • D It relates the angles and sides of an equilateral triangle.
06

A student states: "Two triangles are similar if two angles of one triangle are equal to two angles of the other triangle." What is the subtle error?

100 pts
  • A It should be three angles, not two.
  • B The angles must be proportional, not equal.
  • C It should specify corresponding angles, not just "two angles."
  • D It should also mention that the sides are proportional.
07

Consider the statement: "If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side." Is this statement true?

100 pts
  • A False, it only works if the triangle is equilateral.
  • B True, this is the converse of the Basic Proportionality Theorem.
  • C Partially true, it only applies to right-angled triangles.
  • D False, the line must bisect the sides for this to be true.
08

Triangle ABC is similar to triangle PQR. If the ratio of their corresponding sides is 2:3, what is the ratio of their areas?

100 pts
  • A 2:3
  • B 4:9
  • C 8:27
  • D 1:1
09

Which of the following is NOT a criterion for the similarity of two triangles?

100 pts
  • A AA (Angle-Angle)
  • B SSS (Side-Side-Side)
  • C SAS (Side-Angle-Side)
  • D ASA (Angle-Side-Angle)
10

The theorem stating that if a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio, is also known as what?

100 pts
  • A Pythagorean Theorem
  • B Midpoint Theorem
  • C Thales Theorem
  • D Euler's Theorem