Foundations of Geometry (Sec 1.1-1.4) Review

What is the difference between a LINE SEGMENT and a LINE?

• Line Segments are two-dimensional; Lines are one-dimensional

• Lines can be represented on single planes; Line Segments can only be represented on multiple planes.

• Line Segments have finite lengths; Lines go on forever.

• Line Segments are geometric figures; Lines are not.

Answer explanation

Tags

CCSS.4.G.A.1

Baymax's eyes make a...

• Line

• Line Segment

• Ray

• Angle

Tags

CCSS.4.G.A.1

What part of geometry has one endpoint and continues on forever in one direction through a second point?

(a)  

Answer explanation

Tags

CCSS.4.G.A.1

Which terms are considered undefined terms in Euclidean Geometry? (that's our geometry)

• Point, Plane, Line Segment

• Point, Line, Plane

• Line, Plane, Angle

• Point, Line, Ray

Answer explanation

An undefined term cannot be defined by using other figures of geometry. For example, a line is just a line, but an angle is formed by two rays. A line is undefined but a ray is not.

Tags

CCSS.4.G.A.1

Which is an example of coplanar points?

• Points D, E, and B

• Points C, B, and A

• Points M, E, and C

• Points A, F, and E

Answer explanation

Coplanar means "within the same plane"

Tags

CCSS.HSG.CO.A.1

Give another name for line b.

•  $\overleftarrow{H}\overrightarrow{K}$  

•  $\overleftarrow{B}\overrightarrow{A}$  

• line H

• line hk

Answer explanation

The two ways to name a line are by writing the word line followed by the lowercase script letter near the line OR listing two points on the line and drawing a small line above them like:  $\overleftarrow{H}\overrightarrow{K}$  

Tags

CCSS.HSG.CO.A.1

Name the plane. (There may be more than one correct answer)

• Plane JKL

• Plane R

• Plane JKH

• Plane b

Answer explanation

A plane is named with the uppercase script letter OR any 3 points that lie within the plane that are not collinear.

Tags

CCSS.HSG.CO.A.1

If AC = 5x - 3, and B is between points A and C, find the actual length of AC.

(a)  

Answer explanation

Tags

CCSS.HSG.CO.C.10

Which are possible ways to name the angle? (There might be more than one answer)

• $\angle SRT$

• $\angle RST$

• $\angle S$

• $\angle2$

• $\angle T$

Answer explanation

An angle can be named in several ways: by its vertex, by a point on each ray and its vertex, or by a number. If the point on the vertex is on more than one angle you CANNOT name it just with the vertex point.

Which statement below properly shows the Angle Addition Postulate?

• $m\angle PSR+m\angle RSP=m\angle RST$

• $m\angle PSR+m\angle RST=m\angle RST$

• $m\angle PSR+m\angle RST=m\angle PST$

• $m\angle PSR=m\angle RST$

Answer explanation

The angle addition postulate says "part of an angle, plus the other part of an angle, equals the whole angle."

Tags

CCSS.4.MD.C.7