Constructing Bisectors and Locating Points

Constructing Bisectors and Locating Points

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial covers the construction of bisectors and loci in geometry. It begins with constructing perpendicular bisectors using a compass and line segments, followed by bisecting angles. The concept of loci is introduced, explaining how a locus is a series of points satisfying specific conditions, such as forming a circle around a point or a perpendicular bisector between two points. Practical applications of loci, including regions and paths, are also discussed.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in constructing a perpendicular bisector?

Set the compass to less than halfway.

Draw a straight line through the midpoint.

Create arcs only above the line segment.

Set the compass to over halfway.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you bisect an angle using a compass?

Create arcs from the vertex of the angle.

Draw a straight line from one side of the angle.

Use a ruler to measure the angle.

Create arcs within the angle from each side.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What shape is formed by the locus of points around a single point?

A circle

A rectangle

A triangle

A square

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the locus of points between two lines?

An angle bisector

A perpendicular bisector

A tangent

A parallel line

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the context of loci, what does it mean for a region to be closer to one point than another?

It is within the region defined by the angle bisector.

It is equidistant from both points.

It is within a circle around the point.

It is on the perpendicular bisector.

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