Geometry Proofs & Reasoning 3

Question 1

What is the contrapositive of 'If a shape is a triangle, then it has three sides'?

Accepted Answer

If a shape does not have three sides, then it is not a triangle

Answer

If a shape has three sides, then it is a triangle

Answer

If a shape is not a triangle, then it does not have three sides

Answer

A triangle always has three sides

Question 2

In a two-column proof, the left column contains statements and the right column contains:

Accepted Answer

Reasons or justifications

Answer

Diagrams

Answer

Conclusions only

Answer

Given information only

Question 3

Which pairs of angles are always congruent when two lines intersect?

Accepted Answer

Vertical angles

Answer

Adjacent angles

Answer

Complementary angles

Answer

Linear pair angles

Question 4

The statement 'a = a' is an example of which property of equality?

Accepted Answer

Reflexive property

Answer

Symmetric property

Answer

Transitive property

Answer

Substitution property

Question 5

If two angles form a linear pair, their measures add up to:

Accepted Answer

180 degrees

Answer

90 degrees

Answer

360 degrees

Answer

45 degrees

Question 6

Which statement is accepted as true without proof and used as a starting point?

Accepted Answer

Postulate

Answer

Theorem

Answer

Corollary

Answer

Conclusion

Question 7

The symmetric property of equality states that if a = b, then:

Accepted Answer

b = a

Answer

a = a

Answer

a + b = 0

Answer

a = c