Geometry Quiz: Angles and Polygons

The angle formed by lines BE and EF in a figure.

A hexagon has 6 sides and angles, with symmetry features.

This is a given angle measurement in a hexagon.

A five-sided polygon with equal sides and angles.

Lines that touch a circle at exactly one point.

A ten-sided polygon with equal sides and angles.

Lines in a plane that never meet, no matter how far extended.

Often angles can change based on the arrangement of lines.

A four-sided figure with opposite sides parallel and equal.

The angle at point C in parallelogram ABCD, measuring 75°.

A polygon with all sides and angles equal.

The angle formed inside a polygon at each vertex.

A polygon with six sides and six angles.

The process of determining the measurement of an angle using geometric principles.

The sum of the interior angles in a triangle equals 180°.

The formula to find the interior angle of a regular polygon is (n-2)×180°/n.

An angle formed outside a polygon when one side is extended.

A pentagon has 5 sides, and its interior angles add up to 540°.

Use known angles and properties of polygons to calculate unknown angles.

Diagonals of a parallelogram bisect each other, are perpendicular, and equal in length.

The exterior angle of a regular polygon can be calculated using 360° divided by the number of sides.

The interior angle of a polygon is found by subtracting the exterior angle from 180°.

The sum of angles in a triangle is always 180°.

When two lines are crossed by another line, the angles that are in opposite positions are called alternate angles.

Angles that are in the same position on different parallel lines are called corresponding angles.

When a transversal crosses parallel lines, specific angle relationships are formed (alternate, corresponding, etc.).

In a parallelogram, opposite angles are equal, and adjacent angles are supplementary.

Each interior angle of a regular pentagon measures 108°.

When two lines are parallel, corresponding angles are equal.

An isosceles triangle has two equal sides and angles.

If q = 5p in an isosceles triangle, p:q ratio is 1:5.

An exterior angle of a triangle equals the sum of the two opposite interior angles.

A kite has two pairs of adjacent sides equal and one pair of opposite angles equal.

A regular pentagon has 5 lines of symmetry.

The sum of interior angles of a polygon is (n-2)×180°, where n = number of sides.

An exterior angle of a regular decagon measures 36 degrees.

The sum of angles in any quadrilateral is 360 degrees.

The sum of angles in a pentagon is 540 degrees, not 450 degrees.

An isosceles triangle has two equal sides and two equal angles.

A rhombus has equal sides, opposite angles that are equal, and diagonals that bisect each other at right angles.

To find an interior angle of a polygon, apply the formula (n-2) * 180° / n, where n is the number of sides.

The exterior angle of a regular polygon can be found with the formula 360° / n, where n is the number of sides.