Geometry Geometry Constructions & Loci

Question 1

Which tools are traditionally used in geometric constructions?

Accepted Answer

Compass and straightedge

Answer

Ruler and protractor

Answer

Calculator and ruler

Answer

Graph paper and pencil

Question 2

What is the locus of all points equidistant from two fixed points A and B?

Accepted Answer

The perpendicular bisector of AB

Answer

A circle passing through A and B

Answer

The line segment AB

Answer

A parabola

Question 3

To bisect an angle using a compass and straightedge, what is the first step?

Accepted Answer

Place the compass point at the vertex and draw an arc intersecting both rays

Answer

Draw a line parallel to one ray

Answer

Measure the angle with a protractor and divide by 2

Answer

Draw a perpendicular line from the vertex

Question 4

What is the locus of all points equidistant from a fixed point (center)?

Accepted Answer

A circle

Answer

A straight line

Answer

A parabola

Answer

An ellipse

Question 5

How do you construct the perpendicular bisector of a line segment?

Accepted Answer

Draw arcs from each endpoint with equal radii greater than half the segment's length, then connect the intersection points

Answer

Measure the segment and mark the midpoint, then draw a line through it

Answer

Use a protractor to measure 90° at the midpoint

Answer

Draw a line parallel to the segment

Question 6

What does it mean to 'construct' a geometric figure?

Accepted Answer

To create it using only a compass and straightedge following defined rules

Answer

To draw it freehand as accurately as possible

Answer

To measure and draw it using a ruler and protractor

Answer

To model it in a 3D program