Geometry Constructions & Loci Flashcards
6 cards from real Geometry practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 6 Geometry Constructions & Loci flashcards as text
Which tools are traditionally used in geometric constructions?
Answer: Compass and straightedge
Classical geometric constructions use only a compass and a straightedge (unmarked ruler).
What is the locus of all points equidistant from two fixed points A and B?
Answer: The perpendicular bisector of AB
The set of all points equidistant from two fixed points is the perpendicular bisector of the segment joining them.
To bisect an angle using a compass and straightedge, what is the first step?
Answer: Place the compass point at the vertex and draw an arc intersecting both rays
The first step is to place the compass at the vertex and draw an arc that intersects both rays of the angle.
What is the locus of all points equidistant from a fixed point (center)?
Answer: A circle
The locus of all points at a fixed distance from a center point is a circle.
How do you construct the perpendicular bisector of a line segment?
Answer: Draw arcs from each endpoint with equal radii greater than half the segment's length, then connect the intersection points
Open the compass to more than half the segment's length, draw intersecting arcs from both endpoints, and connect the two intersection points.
What does it mean to 'construct' a geometric figure?
Answer: To create it using only a compass and straightedge following defined rules
A geometric construction uses only a compass and straightedge (no measurements), following classical rules.