1.6-1.7a Practice Quiz

If m∠A is less than 90°, then ∠A is an acute angle. m∠A = 75°. What can

you logically conclude using the Law of Detachment?.

• ∠A is Acute.

• ∠A is Right.

• ∠A is Obtuse.

• Not Enough Information

What conclusion can you draw from the following statements using the Law of Syllogism?

• If a figure is a square, then it has four sides.

• If a figure has four sides, then it is not a triangle.

• If a figure is not a triangle, then it is a square.

• If a figure has four sides, then it is a square.

• If a figure is a square, then it is not a triangle.

• If a figure is not a triangle, then it has four sides.

Determine whether each hypothesis is true from the given information.

If A, B, C, and D are collinear, then they lie in the same plane.

A, B, C, and D lie in the same plane.

• Yes

• No

Determine whether each hypothesis is true from the given information.

If BD bisects ∠ABC, then D lies in the interior of ∠ABC.

D lies in the interior of ∠ABC.

• Yes

• No

In the Law of Syllogism, suppose p → q and q → r are true.

If the truth value of p is T, what is the truth value of r?

• T

• F

If C lies between A and B on , then AC + CB = AB.

What can you logically conclude about ?

• AB = 10

• AB = 10.7

• AB = 0.2

• AB = 11

Fill in the reason that justifies each step.

16(14+x)=108 Given

84+6x=108 a. _________________________

6x=24 b. ________________________

x=4 c. _________________________

• a. Multiplication POE

  b. Subtraction POE

  c. Division POE

• a. Distributive Property

  b. Subtraction POE

  c. Division POE

• a. Distributive Property

  b. Addition POE

  c. Division POE

• a. Distributive Property

  b. Addition POE

  c. Multiplication POE

Name the property of equality that justifies each statement.

If a = 2b, then a – c = 2b – c.

• Addition POE

• Subtraction POE

• Multiplication POE

• Division POE

Name the property of equality that justifies each statement.

x = x

• Reflexive POE

• Symmetric POE

• Transitive POE

Name the property of equality that justifies each statement.

3(p - 7) = 3p - 21

• Addition POE

• Subtraction POE

• Distributive Property

• Division POE