Properties Of Shape Quiz

A square has four sides because it is a quadrilateral with equal length sides that are perpendicular to each other. The defining characteristic of a square is that all four sides are equal in length and all four angles are right angles. Therefore, the correct answer is four sides.

A decagon is not a basic shape because it has ten sides, while basic shapes typically have fewer sides. Basic shapes are typically simple and easy to recognize, such as squares, triangles, and rectangles, which have four sides or less. A decagon is a more complex shape that is not commonly considered as one of the basic shapes.

The sum of angles in a triangle is always 180 degrees. This is a fundamental property of triangles in Euclidean geometry. Regardless of the size or shape of the triangle, the sum of its three angles will always be 180 degrees.

A quadrilateral is a polygon with four sides. Each vertex represents a corner or point where two sides of the quadrilateral meet. Therefore, a quadrilateral has four vertices.

An equilateral triangle is a triangle with all three sides and angles equal. Therefore, in an equilateral triangle, all three angles are equal.

A diameter is a line that divides a circle into two equal halves, passing through the center of the circle. It is the longest chord in a circle and can be thought of as the line segment that connects two points on the circumference of the circle, passing through the center. Therefore, the correct answer is Diameter.

An isosceles triangle has two sides that are equal in length. The term "isosceles" means "equal legs," referring to the two equal sides of the triangle. The third side, known as the base, may have a different length. Therefore, the correct answer is "Two sides."

The sum of the exterior angles of any polygon is always 360 degrees. This is because when you add up all the exterior angles of a polygon, they form a complete revolution around a point. Therefore, the correct answer is 360 degrees.

An isosceles triangle has only one line of symmetry. This line divides the triangle into two congruent halves that can be folded onto each other, resulting in a perfect match. The other options, two, three, and four lines of symmetry, are incorrect as they do not accurately describe the properties of an isosceles triangle.

A right-angle triangle has one angle that measures 90 degrees. The sum of all angles in any triangle is always 180 degrees. Therefore, in a right-angle triangle, the sum of the other two angles must be 90 degrees in order to make the total sum equal to 180 degrees. Hence, the correct answer is 90 degrees.