4.11: Basic Constructions

Front

What is a basic construction in geometry?

Back

A basic construction in geometry refers to the process of creating geometric figures using only a compass and straightedge, without measuring tools.

Front

What is the purpose of using a compass in geometric constructions?

Back

A compass is used to draw arcs and circles, which are essential for creating precise geometric figures.

Front

What is the purpose of using a straightedge in geometric constructions?

Back

A straightedge is used to draw straight lines between points, which is fundamental in constructing geometric shapes.

Front

Define the term 'angle'.

Back

An angle is formed by two rays (sides of the angle) that share a common endpoint (the vertex).

Front

What is the sum of the angles in a triangle?

Back

The sum of the angles in a triangle is always 180 degrees.

Front

How do you find the measure of an unknown angle in a triangle?

Back

To find the measure of an unknown angle in a triangle, subtract the sum of the known angles from 180 degrees.

Front

What is the definition of a line segment?

Back

A line segment is a part of a line that is bounded by two distinct endpoints.

Front

What is the difference between a line and a line segment?

Back

A line extends infinitely in both directions, while a line segment has two endpoints and does not extend beyond them.

Front

What is the definition of congruent angles?

Back

Congruent angles are angles that have the same measure.

Front

What is the definition of complementary angles?

Back

Complementary angles are two angles whose measures add up to 90 degrees.