Geometry Mid-term Flashcard 03

Front

What is a rectangle?

Back

A rectangle is a quadrilateral with four right angles (equiangular).

Front

How do you calculate the area covered by a windshield wiper in one sweep?

Back

Area = \frac{1}{2} \times r^2 \times \theta, where r is the length of the wiper and \theta is the angle in radians.

Front

What is the formula for arc length in a circle?

Back

Arc Length = \frac{\theta}{360} \times 2\pi r, where \theta is the angle in degrees and r is the radius.

Front

What is the Angle-Angle (AA) Theorem?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What is the relationship between the angles in a rectangle?

Back

All angles in a rectangle are right angles (90 degrees).

Front

How do you convert degrees to radians?

Back

Radians = Degrees \times \frac{\pi}{180}.

Front

What is the significance of congruent triangles?

Back

Congruent triangles have the same size and shape, meaning all corresponding sides and angles are equal.

Front

How do you find the area of a sector of a circle?

Back

Area of Sector = \frac{\theta}{360} \times \pi r^2, where \theta is the angle in degrees.

Front

What is the definition of equiangular?

Back

A shape is equiangular if all its angles are equal.

Front

What is the definition of equilateral?

Back

A shape is equilateral if all its sides are of equal length.