Compass constructions

All seven straightedge-and-compass constructions, one sheet each: copying a segment and an angle, bisecting both, a perpendicular and a parallel through a point, and a polygon inscribed in a circle.

7 sheets · 28 questions · one answer key · 10 pages

Recommended for grades 9–10

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Copy a segment Sheet 1 of 7

Compass constructionsCopy a segment

Name: Date:

Copy each segment onto the ray beside it. Leave your arcs showing.

1Copy AB onto the ray from C.

2Copy AB onto the ray from C.

3Copy AB onto the ray from C.

4Copy AB onto the ray from C.

Compass constructionsBisect a segment

Name: Date:

Construct each perpendicular bisector. Leave your arcs showing.

1Construct the bisector of AB.

2Construct the bisector of AB.

3Construct the bisector of AB.

4Construct the bisector of AB.

Compass constructionsCopy an angle

Name: Date:

Copy each angle onto the ray beside it. Leave your arcs showing.

1Copy angle ABC onto the ray from D.

2Copy angle ABC onto the ray from D.

3Copy angle ABC onto the ray from D.

4Copy angle ABC onto the ray from D.

Compass constructionsBisect an angle

Name: Date:

Bisect each angle. Leave your arcs showing.

1Bisect angle ABC.

2Bisect angle ABC.

3Bisect angle ABC.

4Bisect angle ABC.

Compass constructionsConstruct a perpendicular

Name: Date:

Construct each perpendicular through P. Leave your arcs showing.

1Construct the perpendicular through P.

2Construct the perpendicular through P.

3Construct the perpendicular through P.

4Construct the perpendicular through P.

Compass constructionsConstruct a parallel line

Name: Date:

Construct each parallel through P. Leave your arcs showing.

1Construct the parallel through P.

2Construct the parallel through P.

3Construct the parallel through P.

4Construct the parallel through P.

Compass constructionsInscribe a regular polygon

Name: Date:

Inscribe each shape in its circle. Leave your arcs showing.

1Inscribe a square.

2Inscribe a regular hexagon.

3Inscribe a square.

4Inscribe a regular hexagon.

Power Pack · Compass constructionsAnswer key

Copy a segment

1. Copy AB onto the ray from C. (AB = 56mm)2. Copy AB onto the ray from C. (AB = 44mm)3. Copy AB onto the ray from C. (AB = 54mm)4. Copy AB onto the ray from C. (AB = 46mm)

Perpendicular bisector

1. Construct the bisector of AB. (AB = 48mm)2. Construct the bisector of AB. (AB = 50mm)3. Construct the bisector of AB. (AB = 54mm)4. Construct the bisector of AB. (AB = 40mm)

Copy an angle

1. Copy angle ABC onto the ray from D. (angle B = 65°)2. Copy angle ABC onto the ray from D. (angle B = 45°)3. Copy angle ABC onto the ray from D. (angle B = 75°)4. Copy angle ABC onto the ray from D. (angle B = 85°)

Power Pack · Compass constructionsAnswer key

Bisect an angle

1. Bisect angle ABC. (angle B = 110°)2. Bisect angle ABC. (angle B = 90°)3. Bisect angle ABC. (angle B = 50°)4. Bisect angle ABC. (angle B = 100°)

Perpendicular through a point

1. Construct the perpendicular through P. (P 13mm off the line)2. Construct the perpendicular through P. (P 28mm off the line)3. Construct the perpendicular through P. (P 23mm off the line)4. Construct the perpendicular through P. (P 33mm off the line)

Parallel through a point

1. Construct the parallel through P. (P 28mm from the line)2. Construct the parallel through P. (P 32mm from the line)3. Construct the parallel through P. (P 36mm from the line)4. Construct the parallel through P. (P 24mm from the line)

Power Pack · Compass constructionsAnswer key

Inscribe in a circle

1. Inscribe a square. (square, radius 26mm)2. Inscribe a regular hexagon. (hexagon, radius 26mm)3. Inscribe a square. (square, radius 30mm)4. Inscribe a regular hexagon. (hexagon, radius 30mm)

Compass constructions

What is in the pack

The geometry track

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