Geometry Concepts Quiz for Grade 10

What is the definition of an angle bisector?

• A line segment that connects two endpoints.

• A line through the vertex of an angle that divides it into two equal angles.

• A line perpendicular to a segment at its midpoint.

• A line that reflects an image onto itself.

Which term describes a statement you think is true but have not yet proved?

• Conjecture

• Assertion

• Theorem

• Converse

What is an auxiliary line?

• A line that bisects an angle.

• A line drawn in a figure to reveal hidden structure.

• A line segment with an arrow specifying direction.

• A line that divides a figure into two congruent parts.

What is a circle?

• A quadrilateral with four congruent sides.

• The set of all points at a fixed distance from a center.

• A figure with reflection symmetry.

• A shape with four right angles.

Two figures are congruent if:

• They can be inscribed in a circle.

• Their areas are the same.

• One figure can be transformed into the other using rigid transformations.

• They have the same number of sides and angles.

What is a conjecture?

• A reasonable guess being tested for proof.

• A proven statement in mathematics.

• The midpoint of a line segment.

• A line that divides a shape symmetrically.

What is the converse of a statement?

• The original hypothesis stated backwards.

• A new statement interchanging the hypothesis and conclusion of the original.

• A translation of a rigid transformation.

• The proof of a given theorem.

Corresponding parts in congruent figures are:

• Always parallel.

• Interchangeable with non-congruent parts.

• Images under rigid transformations.

• The midpoints of their respective sides.

A polygon is inscribed in a circle when:

• It is rotated around a central point.

• It fits inside the circle, and all its vertices lie on the circle.

• It has congruent sides and angles.

• Its diagonals intersect at 90 degrees.

What is a line of symmetry?

• A line dividing a figure into two parts of equal area.

• A line that reflects a figure onto itself.

• A line segment with a defined midpoint.

• A line that is perpendicular to a given figure.