Constructions

Front

What is a perpendicular bisector?

Back

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

Front

What is an angle bisector?

Back

An angle bisector is a line that divides an angle into two equal angles.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they are always the same distance apart and never meet.

Front

What is the construction for creating a perpendicular line to a point not on a line?

Back

To construct a perpendicular line to a point not on a line, use a compass to draw arcs from the point that intersect the line, then draw a line from the point through the intersection points.

Front

What is the construction for creating a parallel line to a point not on a line?

Back

To construct a parallel line to a point not on a line, use a ruler and compass to replicate the distance from the point to the line at the new location.

Front

What is the definition of corresponding angles?

Back

Corresponding angles are angles that are in the same position on two parallel lines cut by a transversal.

Front

What is the purpose of constructing an altitude in a triangle?

Back

An altitude in a triangle is constructed to find the height of the triangle from a vertex to the opposite side.

Front

What is the difference between congruent and similar figures?

Back

Congruent figures are identical in shape and size, while similar figures have the same shape but may differ in size.

Front

How do you identify a midpoint of a line segment?

Back

The midpoint of a line segment is found by measuring the length of the segment and dividing it by two.

Front

What is the significance of constructing an angle median?

Back

An angle median connects a vertex of a triangle to the midpoint of the opposite side, dividing the triangle into two smaller triangles of equal area.