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Exercises: Precise Definitions of Geometric Terms

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Grade 9·20 problems·~30 min·Common Core Math - HS Geometry·standard·hsg-co-a-1
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A

Recall / Warm-Up

These problems review geometry concepts from middle school.

1.

In Euclidean geometry, which of the following is an undefined term — a starting point accepted without a formal definition?

2.

Which geometric figure is formed by two rays that share a common endpoint?

3.

Which best describes the difference between a defined term and an undefined term in geometry?

B

Fluency Practice

Apply the precise definitions of each term.

A straight line with arrows at both ends and two marked points, with the portion between the points emphasized.
1.

Which definition correctly describes a line segment?

2.

An angle is formed by two   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   that share a common endpoint called the   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   .

Two perpendicular lines crossing at a point, with right-angle boxes marking all four 90-degree angles.
3.

Two lines are perpendicular if they intersect to form angles of what measure?

4.

Which statement gives the most precise definition of parallel lines?

5.

A circle is precisely defined as the set of all points in a plane that are   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   from a given point called the   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   .

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