Periodic Test in Mathematics 8

What do you call the statements that can only be described and not defined?

• axioms

• defined terms

• theorems

• undefined terms

Which of the following is a commutative axiom?

• 2 + 3 = 2 + 3

• 2 + 3 = 3 + 2

• 2 ∙ 3 = 2 ∙ 3

• (2 + 3) = 2(3) + 3(2)

Which of the following illustrates Multiplicative axiom?

• if 𝑎 = 𝑏, then 𝑏 = 𝑎

• if 𝑎 = 𝑏 and 𝑏 = 𝑐, then 𝑎 = 𝑐

• if 𝑎 = 𝑏, then 𝑎 + 𝑐 = 𝑏 + 𝑐

• if 𝑎 = 𝑏, then, 𝑎 ∙ 𝑐 = 𝑏 ∙ 𝑐

Name the property which justifies the following conclusion. Given: If 5𝑥 - 5 = 10 Conclusion: then 5𝑥 = 15

• Existence of Additive Inverse.

• Existence of Multiplicative Identity.

• Existence of Multiplicative Inverse.

• Existence of Additive Inverse and Additive Identity.

Which of the following illustrates reflexive property?

• (𝐴𝐵 + 𝐵𝐶) + 𝐶𝐷 = (𝐴𝐵 + 𝐵𝐶) + 𝐶𝐷

• (𝐴𝐵 + 𝐵𝐶) + 𝐶𝐷 = 𝐴𝐵 + 𝐵𝐶 + 𝐶𝐷

• (𝐴𝐵 + 𝐵𝐶) + 𝐶𝐷 = (𝐵𝐶 + 𝐴𝐵) + 𝐶𝐷

• (𝐴𝐵 + 𝐵𝐶) + 𝐶𝐷 = 𝐶𝐷 + (𝐴𝐵 + 𝐵𝐶)

Baguio City is the summer capital of the Philippines. Which of the following best describes the statement?

• The statement is obviously false.

• The statement cannot be proven to be true or false.

• The statement needs to be formally proven to be accepted as true.

• The statement does not need to be formally proven and is accepted as true.

What undefined term is represented by a dot?

• point

• line

• plane

• angle

Which of the following does not represent a plane?

• tip of a pen

• top of the table

• cover page of a book

• faces of a rectangular box

How do you call a line perpendicular to a given segment which divides it into two equal line segments?

• diagonals

• line segment

• congruent segments

• perpendicular bisector

What axioms of equality do the illustration below represent?

• reflexive property

• substitution property

• symmetric property

• transitive property