Mathematical Concepts Quiz

What do you call the statements that are assumed to be true and do not need proof?

• axioms

• defined terms

• theorems

• undefined terms

What axiom is illustrated in the statement, If 𝐴 = 𝐵, 𝐵 = 𝐶, then 𝐴 = 𝐶?

• multiplication

• reflexive

• symmetric

• transitive

There are four parts of the Mathematical system. Which of the following is not a part of the mathematical system?

• corollary

• theorems

• axioms or postulate

• defined and undefined terms

Which of the following is a commutative axiom?

• 2 + 3 = 2 + 3

• 2 ∙ 3 = 2 ∙ 3

• 2 + 3 = 3 + 2

• (2 + 3) = 2(3) + 3(2)

Which undefined term has a specific position but has no dimension or direction?

• point

• plane

• line

• angle

Which of the following represents a plane?

• tip of a pen

• top of the table

• stretched rope

• corner of a rectangular box

What theorem states that the exterior angle of a triangle is equal to the sum of two remote interior angles of the triangle?

• isosceles triangle theorem

• linear pair theorem

• exterior angle theorem

• vertical angles theorem

Two angles with sum equal to 180°.

• acute angles

• complementary angles

• vertical angles

• supplementary angles

Which statement justifies congruent angles?

• If two lines intersect

• If it has the same measure

• If it has a common side

• If the sum of two angles is 180°

The angles inside the triangular garden ABC are all 60°. To be able to find the length of the sides of the garden, Mary measured the sides as follows; 2.5 𝑚, 3 𝑚 and 5 𝑚. Did Mary measure it correctly?

• No, because an equiangular triangle is also equilateral.

• No, because two sides of an equiangular triangle must be equal.

• Yes, because a triangle is not equilateral if it is equiangular.

• Yes, because not all equiangular triangles are equilateral.