Geometry Points, Lines, Segments and Angles Test with Point Values (PDF)

Geometry math test: Points, Lines, Segments and Angles – Maths PDF

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This basics test for Geometry covers points, lines, segments and angles (Common Core G-CO.A.1), with a free PDF to print.

This 45-minute test checks segment and angle measures, midpoints, bisectors and the definitions of geometry. It has 9 questions worth 20 points in total. Show every step of the work, label diagrams, and include units where they apply. Calculators are allowed unless the teacher says otherwise.

Time and points

About this test

Grade: Geometry
Chapter: Points, Lines, Segments and Angles
Standards: G-CO.A.1
Time: 45 minutes
Total: 20 points

Basics test: questions

Question 1 – Segment addition [2 pts]

Q is between P and R.

\(PR = 33\). Find \(x\) and \(PQ\).

Question 2 – Midpoint and length [3 pts]

Segment EF.

Find the midpoint of \(\overline{EF}\). (1 point)
Find \(EF\) in simplest radical form. (2 points)

Question 3 – Angle bisector [2 pts]

Ray BD bisects angle ABC.

Ray BD bisects \(\angle ABC\). Find \(x\) and \(m\angle ABC\).

Question 4 – Complement and linear pair [2 pts]

An angle is \((x + 12)^{\circ}\) and its complement is \((2x – 6)^{\circ}\). Find \(x\). (1 point)
Two angles form a linear pair. One is \(4\) times the other. Find both measures. (1 point)

Question 5 – Definitions [3 pts]

Write the definition of a circle. (1 point)
Write the definition of perpendicular lines. (1 point)
Explain the difference between a ray and a line segment. (1 point)

Question 6 – Find an endpoint [2 pts]

The midpoint of \(\overline{AB}\) is \(M(7, -2)\). Point A is at \((13, 4)\). Find the coordinates of B.

Question 7 – Clock angle [2 pts]

Find the angle between the hour hand and the minute hand of a clock at 5:00. Then find the angle at 10:30.

Question 8 – Equal distances [2 pts]

A circle has center \(C(2, -1)\) and radius \(5\). Decide whether \((5, 3)\) is on the circle, inside it or outside it. Explain.

Question 9 – Pipeline markers [2 pts]

Markers along a straight pipeline are at 4.5 miles and 29.5 miles. A pump station is placed at the midpoint. Find the mile marker of the station and its distance from each marker.

Key facts behind this basics test

Key facts

Point, line and plane are undefined terms; segments, rays and angles are defined from them.
Segment addition: if B is between A and C, then AB + BC = AC.
A midpoint at coordinate (a + b)/2 splits a segment into two congruent segments.
Angle addition: m∠ABD + m∠DBC = m∠ABC when ray BD is inside the angle.
A circle is all points in a plane at one fixed distance (the radius) from the center.

How to use this basics test

Time yourself: the test is designed for an average student in 45 minutes. Answer the questions you are sure of first, then come back to the longer ones and check your units.

All Geometry chapters: Geometry math.

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