1.
An equilateral triangle has no equal sides.
Correct Answer
A. True
Explanation
An equilateral triangle is a type of triangle where all three sides are equal in length. Therefore, by definition, an equilateral triangle does not have any unequal sides. Hence, the correct answer is true.
2.
An isosceles triangle has two sides that are the same length.
Correct Answer
A. True
Explanation
An isosceles triangle is a triangle that has two sides of equal length. This means that two of its sides are the same length, while the third side may be a different length. Therefore, the statement that an isosceles triangle has two sides that are the same length is true.
3.
An acute triangle contains only one acute angle.
Correct Answer
B. False
Explanation
An acute triangle is a triangle that contains three acute angles, meaning all three angles are less than 90 degrees. Therefore, the statement that an acute triangle contains only one acute angle is incorrect.
4.
An obtuse angle is made up of three obtuse angles.
Correct Answer
B. False
Explanation
An obtuse angle is not made up of three obtuse angles. An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees. It is a single angle and cannot be composed of multiple angles. Therefore, the statement is false.
5.
A scalene triangle has no equal sides.
Correct Answer
A. True
Explanation
A scalene triangle is a type of triangle that has no equal sides. This means that all three sides of a scalene triangle have different lengths. Therefore, the correct answer is true.
6.
A right triangle has one 90 degree angle.
Correct Answer
A. True
Explanation
A right triangle is defined as a triangle that has one angle measuring 90 degrees. Therefore, it is true that a right triangle has one 90 degree angle.
7.
A polygon with 6 sides is called a/an
Correct Answer
C. Hexagon
Explanation
A polygon with 6 sides is called a hexagon. The prefix "hex-" means six in Greek, so a hexagon is a polygon with six sides.
8.
A polygon with eight sides is called a/an
Correct Answer
B. Octagon
Explanation
A polygon with eight sides is called an octagon.
9.
A polygon with three sides is called a/an
Correct Answer
D. Triangle
Explanation
A polygon with three sides is called a triangle.
10.
A polygon with four sides is called a/an
Correct Answer
B. Quadrilateral
Explanation
A polygon with four sides is called a quadrilateral.
11.
A polygon with five sides is called a/an
Correct Answer
E. Pentagon
Explanation
A polygon with five sides is called a pentagon.
12.
I am a quadrilateral with two parallel sides, what am I?
Correct Answer
B. Parallelogram
Explanation
A parallelogram is a quadrilateral with two pairs of parallel sides. It is a shape where opposite sides are parallel and equal in length. This makes it different from a rectangle, square, rhombus, and trapezoid, as they do not necessarily have two pairs of parallel sides. Therefore, a parallelogram is the correct answer for a quadrilateral with two parallel sides.
13.
I am a parallelogram with four right angles, what am I?
Correct Answer
A. Rectangle
Explanation
A rectangle is a parallelogram with four right angles. It is a quadrilateral with opposite sides that are equal in length and parallel to each other. The fact that it has four right angles distinguishes it from other parallelograms, such as the rhombus and trapezoid, which do not necessarily have right angles. A square is a special type of rectangle where all sides are equal in length. Therefore, the correct answer is rectangle.
14.
I am a parallelogram with all sides the same length and four right angles, what am I?
Correct Answer
C. Square
Explanation
A square is a parallelogram with all sides the same length and four right angles. It is the only shape among the options that satisfies these conditions. A trapezoid has at least one pair of parallel sides but does not have all sides the same length or four right angles. A rectangle has four right angles but does not have all sides the same length. A parallelogram has opposite sides parallel but does not have all sides the same length or four right angles. A rhombus has all sides the same length but does not have four right angles. Therefore, the correct answer is square.
15.
I am a parallelogram with all four sides equal, but contain no right angles, what am I?
Correct Answer
A. Rhombus
Explanation
A rhombus is a parallelogram with all four sides equal in length, but it does not have any right angles. It is a special type of parallelogram that has opposite sides parallel and opposite angles equal. Unlike a rectangle or a square, a rhombus does not have any right angles. Therefore, a rhombus is the correct answer to this question.
16.
I am a quadrilateral with only one pair of parallel sides, I can be made by using one quadrilateral and two triangles, what am I?
Correct Answer
D. Trapezoid
Explanation
A trapezoid is a quadrilateral with only one pair of parallel sides. It can be made by using one quadrilateral and two triangles. A rectangle has two pairs of parallel sides, a rhombus has all sides equal in length, a parallelogram has opposite sides parallel and equal in length, and a square has all sides equal in length and all angles equal to 90 degrees. Therefore, the correct answer is trapezoid.