EDGE Math 8

Choose the conclusion(s) that may be deduced from the given information by using a definition, postulate, or theorem.

1.	Points S and R

(a) Points S and R lie on a line.

(b) Points S and R lie on two different lines.

Both (a) and (b)

Neither (a) nor (b)

Answer: Points S and R lie on a line.

2.	Noncollinear points A, B, and C

(a) Points A, B, and C lie on a line.

(b) Points A, B, and C lie on a plane.

Both (a) and (b)

Neither (a) nor (b)

Answer: Points A, B, and C lie on a plane.

3.	$m ∠ D = 90$

(a) Angle D is a right angle.

(b) Angle D is a complementary angle.

Both (a) and (b)

Neither (a) nor (b)

Answer: Angle D is a right angle.

4.	$\bar{A B} ≅ \bar{C D}$ and $\bar{C D} ≅ \bar{P Q}$

(a)

\bar{A B}

and

\bar{P Q}

are complementary angles.

(b)

\bar{A B}

and

\bar{P Q}

are supplementary angles.

Both (a) and (b)

Neither (a) nor (b)

Answer: Neither (a) nor (b); a correct conclusion may be $\bar{A B} ≅ \bar{P Q} .$

5.	$m ∠ M N O + m ∠ O N P = m ∠ M N P$

(a)

m ∠ M N O < m ∠ M N P

(b)

m ∠ M N O

= m ∠ M N P - m ∠ O N P

Both (a) and (b)

Neither (a) nor (b)

Answer: Both (a) and (b)

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