Triangle

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

• axioms

• theorems

• defined terms

• undefined terms

Which statement is true?

• -5 is a natural numbers

• Integers are rational numbers

• rational numbers are also irrational numbers

Which of the following statements is true about axioms or postulates?

• These are concepts that need to be defined.

• These are concepts that can be defined using the undefined terms.

• These are statements accepted after it is proved deductively.

• These are statements assumed to be true and need no further proof.

Which of the following statements is true about a postulate?

• It is never accepted to be true

• It is only accepted as true after being formally proven.

• It is accepted as true without a formal proof.

• It is usually not obvious as true, so it must be proven.

Which of the following best describes a theorem?

• It is the same thing as a postulate.

• It is a statement that is impossible to be proven by mathematical reasoning.

• It is a statement that is accepted as true without a formal proof.

• It is a statement that has been formally proven using mathematical reasoning.

You are tasked to make a triangular picture frame and your teacher gives you two sticks of the same length and one shorter length. What type of triangle can you make out of the materials given if you are not allowed to cut the stick?

• scalene triangle

• isosceles triangle

• equilateral triangle

• the materials cannot form a triangle

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

• corned of a rectangular box

Which statement justifies congruent angles?

• If two line intersect

• If it has a common side

• If it has the same measure

• If the sum of two angles is 180°

What do you call the lines that intersect at a point forming a right angle?

• diagonal

• line segment

• parallel lines

• perpendicular lines