Exploring Geometry Concepts

What is the sum of the interior angles of a triangle?

• 90 degrees

• 120 degrees

• 180 degrees

• 360 degrees

Define a parallelogram and its properties.

• A parallelogram is a triangle with equal sides.

• A parallelogram is a quadrilateral with opposite sides parallel and equal in length.

• A parallelogram has all sides unequal and angles of 90 degrees.

• A parallelogram is a polygon with only one pair of parallel sides.

What is the Pythagorean theorem?

• In a right triangle, a² + b² = c².

• In a right triangle, a + b = c.

• In any triangle, a² + b² = c².

• In a right triangle, a² - b² = c².

How do you calculate the area of a circle?

• A = πr²

• A = πd

• A = 2πr

• A = r² + h²

What is the difference between a rhombus and a rectangle?

• A rhombus has right angles; a rectangle has all sides equal.

• A rhombus has all sides equal; a rectangle has opposite sides equal and right angles.

• A rhombus can be a rectangle; a rectangle cannot be a rhombus.

• A rhombus has opposite sides equal; a rectangle has all angles acute.

Explain the concept of congruence in geometry.

• Congruence refers to the area of a shape.

• Congruence means two figures have different sizes but the same shape.

• Congruence is the process of measuring angles in a triangle.

• Congruence means two figures are identical in shape and size.

What is the formula for the volume of a cylinder?

• V = 2πrh

• V = 4/3πr³

• V = πr² + h

• V = πr²h

Describe the characteristics of similar triangles.

• Similar triangles have unequal corresponding angles and equal sides.

• Similar triangles have equal corresponding angles and proportional corresponding sides.

• Similar triangles have different shapes but the same area.

• Similar triangles have proportional angles and equal corresponding sides.

How do you find the circumference of a circle?

• C = 2πr or C = πd

• C = πr^2

• C = 2r

• C = 3πr

What is the relationship between the angles and sides in a right triangle?

• The angles are always equal to the lengths of the sides; larger angles correspond to smaller sides.

• The product of the sides equals the sum of the angles; all sides are equal in a right triangle.

• The square of the hypotenuse equals the sum of the squares of the other two sides; larger sides correspond to larger opposite angles.

• The sum of the angles equals 180 degrees; the hypotenuse is always the shortest side.