Geometric Constructions

Front

What is a perpendicular bisector?

Back

A line that divides a line segment into two equal parts at a 90-degree angle.

Front

What is the construction of congruent angles?

Back

Using a compass and straightedge, you can create two angles that have the same measure.

Front

How do you construct an isosceles triangle?

Back

1. Draw a base line segment. 2. Use a compass to measure the desired length of the equal sides. 3. From each endpoint of the base, draw arcs that intersect above the base. 4. Connect the intersection point to the endpoints of the base.

Front

What is the first step to inscribe a square inside a circle?

Back

Draw a diameter across the circle.

Front

What is the purpose of constructing a perpendicular bisector in geometric constructions?

Back

To find the midpoint of a line segment or to create right angles.

Front

What is the process of copying a line segment using a compass and straightedge?

Back

1. Measure the length of the segment with the compass. 2. Place the compass point on the new location and draw an arc. 3. Mark the intersection points to create the new segment.

Front

What is an inscribed equilateral triangle?

Back

A triangle where all three vertices lie on the circumference of a circle and all sides are equal in length.

Front

What is the definition of congruent line segments?

Back

Line segments that have the same length.

Front

What is the significance of constructing a tangent line to a circle?

Back

A tangent line touches the circle at exactly one point and is perpendicular to the radius at that point.

Front

What is the method to construct a regular hexagon inscribed in a circle?

Back

1. Draw a circle. 2. Mark a point on the circle. 3. Use a compass to measure the radius and mark off six equal segments around the circle.