Cumulative Geometry Foundation Practice

For any two points, there is a unique line through them

• always

• sometimes

• never

Answer explanation

For any two distinct points in a plane, there is exactly one straight line that can be drawn through both points. This is a fundamental property of Euclidean geometry, making the correct answer 'always'.

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CCSS.HSG.CO.A.1

2 planes intersect at a point

• always

• sometimes

• never

• Only on Thursdays

Answer explanation

Two planes can either be parallel, intersect along a line, or coincide. They cannot intersect at just a single point, so the correct answer is 'never'.

A line must have at least 2 points.

• Always

• Sometimes

• Never

Answer explanation

A line is defined in geometry as having at least two points. This is essential for establishing its direction and length. Therefore, the statement is always true.

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CCSS.HSG.CO.A.1

ALWAYS, SOMETIMES or NEVER:

Through any three points, there exists exactly one line.

• Always

• Sometimes

• Never

Answer explanation

Through any three points, there exists exactly one line if the points are collinear. If they are not collinear, no single line can connect them. Therefore, the statement is true sometimes, depending on the arrangement of the points.

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CCSS.HSG.CO.A.1

What is it called when points lie on the same line.

• Midpoint

• Coplanear

• Segment Bisector

• Collinear

Answer explanation

When points lie on the same line, they are referred to as collinear. This term specifically describes the relationship of points that share a straight line, distinguishing it from other geometric concepts.

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CCSS.HSG.CO.A.1

A location in space that is represented by a dot and has no dimensions

• Point

• Line

• Plane

• Angle

Answer explanation

A point is defined as a location in space represented by a dot, having no length, width, or height. It is a fundamental concept in geometry, distinguishing it from lines, planes, and angles, which have dimensions.

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CCSS.HSG.CO.A.1

What are the arrows pointing to?

• Ray

• Endpoints

• Midpoint

• Vertex

Answer explanation

The arrows point to the endpoints of a ray, which are the specific points that define its starting and ending locations. Therefore, the correct answer is 'Endpoints'.

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CCSS.4.MD.C.5

Consists of 2 endpoints and all the points in between.

• Ray

• Line

• Line Segment

• Angle

Answer explanation

A line segment is defined as having 2 endpoints and includes all the points between them. In contrast, a ray has one endpoint and extends infinitely in one direction, while a line extends infinitely in both directions.

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CCSS.HSG.CO.A.1

Points that lie in the same plane.

• Colinear

• Intersection

• Parallel Planes

• Coplanar

Answer explanation

The correct answer is 'Coplanar' because it refers to points that lie in the same plane. 'Colinear' refers to points on the same line, while 'Intersection' and 'Parallel Planes' do not specifically describe points in a single plane.

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CCSS.HSG.CO.A.1

a straight path that has no thickness and extends forever

• point

• line

• ray

• plane

Answer explanation

A line is defined as a straight path that has no thickness and extends infinitely in both directions, making it the correct choice. A point has no dimensions, a ray has a starting point but extends infinitely in one direction, and a plane is a flat surface.

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CCSS.HSG.CO.A.1