Logic and Relationships

Determine whether the statement is always, sometimes, or never true.

Three points are contained in more than one plane.

• always true

• sometimes true

• never true

Determine whether the statement is always, sometimes, or never true.

If line m lies in plane X and line m contains a point Q, then point Q lies in plane X.

• always true

• sometimes true

• never true

Tags

CCSS.HSG.CO.A.1

What justifies this statement in the proof?

segment WX ≅ segment YX, segment VX ≅ segment ZX

Tags

CCSS.HSG.SRT.B.4

What statement is justified by this reason in the proof?

Segment Addition Postulate

Find the measure of the angle and justify your answer.

∠5

• 90 degrees

• 127 degrees

• Complement Theorem

• Supplement Theorem

Tags

CCSS.7.G.B.5

Find the measure of the angle and justify your answer.

∠7

• 53 degrees

• 127 degrees

• Vertical Angle Theorem

• Supplement Theorem

Tags

CCSS.7.G.B.5

In the figure, m∠1 = 123. Find the measure of the angle. Tell which postulate(s) or theorem(s) you used.

∠5

• 57 degrees

• 123 degrees

• Alternate Exterior Angles Theorem

• Corresponding Angles Postulate

Tags

CCSS.8.G.A.5

In the figure, m∠1 = 123. Find the measure of the angle. Tell which postulate(s) or theorem(s) you used.

∠4

• 57 degrees

• 123 degrees

• Corresponding Angles Postulate

• Supplement Theorem

Tags

CCSS.8.G.A.5

A(5, 3), B(8, 0), X(-7, 2), Y(1, 10)

• Parallel

• Perpendicular

• Neither

Tags

CCSS.HSG.CO.A.1

CCSS.4.G.A.1

A(8, 1), B(-2, 7), X(-6, 2), Y(-1, -1)

• Parallel

• Perpendicular

• Neither