Bisectors Line Worksheet A IMPORTANT This worksheet relies

Bisectors – Line – Worksheet A IMPORTANT! This worksheet relies on accurate scales. See next slide for printing instructions.

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Turf War!

1. Two sheep are attached by 5 metre leashes to stakes in the ground (A & B). They are equally strong! b) What happens at the overlap? a) Where can each sheep graze? c) What happens if each sheep has a 6 metre leash? 2. Two sheep are attached by leashes of equal length at two ends of a fence. a) Regardless of the leash lengths, where is the boundary where the two sheep graze? A × ×B B × 1 cm = 1 m d) What can we say about the boundary? b) What can we say about the boundary?

This is a construction of a perpendicular bisector. at 90° A halfway B The perpendicular bisector shows all the points that are equidistant between A and B. equal distance

1. Two sheep are attached by 5 metre leashes to stakes in the ground (A & B). They are equally strong! b) What happens at the overlap? a) Where can each sheep graze? c) What happens if each sheep has a 6 metre leash? 2. Two sheep are attached by leashes of equal length at two ends of a fence. a) Regardless of the leash lengths, where is the boundary where the two sheep graze? A × ×B B × 1 cm = 1 m d) What can we say about the boundary? b) What can we say about the boundary?

1. 2. Construct a perpendicular bisector of the line AB. Show the locus of points equidistant from points A and B. (Hint: Start by drawing the line AB) A × B A × 3. C A 4. Construct a perpendicular line from A. Draw a line that passes through C and is perpendicular to AB. (Hint: To start you need to mark two points on AB that you know are equidistant from C. ) × B Half Answers × A B

1. 2. Construct a perpendicular bisector of the line AB. Show the locus of points equidistant from points A and B. (Hint: Start by drawing the line AB) A × B A × 3. C A 4. Construct a perpendicular line from A. Draw a line that passes through C and is perpendicular to AB. (Hint: To start you need to mark two points on AB that you know are equidistant from C. ) × × B A Answers B

1. Two sheep are attached by 5 metre leashes to stakes in the ground (A & B). They are equally strong! b) What happens at the overlap? a) Where can each sheep graze? c) What happens if each sheep has a 6 metre leash? 2. Two sheep are attached by leashes of equal length at two ends of a fence. a) Regardless of the leash lengths, where is the boundary where the two sheep graze? A × ×B B × 1 cm = 1 m d) What can we say about the boundary? b) What can we say about the boundary?

1. 2. Construct a perpendicular bisector of the line AB. Show the locus of points equidistant from points A and B. (Hint: Start by drawing the line AB) A × B A × 3. C A 4. Construct a perpendicular line from A. Draw a line that passes through C and is perpendicular to AB. (Hint: To start you need to mark two points on AB that you know are equidistant from C. ) × B × A B