Test what you know about classifying quadrilaterals and triangles. These 10 multiple-choice questions use pictures, Venn diagrams and tree diagrams. Choose the single best answer, then read the explanation.
Question 1 What is the best name for this shape?
A rectangle. A squareB rhombusC rectangleD pentagonIt has 4 right angles but the sides are not all equal, so it is a rectangle, not a square.
Question 2 How is this triangle classified by its sides?
4 7 7 A triangle. A isoscelesB equilateralC scaleneD rightTwo sides are equal (7 and 7), so it is isosceles. Right describes an angle, not the sides.
Question 3 Which statement is always true?
A Every rectangle is a square.B Every square is a rectangle.C Every rhombus is a rectangle.D Every trapezoid is a square.A square has all the properties of a rectangle. The reverse is false, since a 6 by 3 rectangle is not a square.
Question 4 A triangle has angles of 100°, 40° and 40°. What kind of triangle is it?
A acute triangleB right triangleC obtuse triangleD equilateral triangleOne angle (100°) is greater than 90°, so it is obtuse.
Question 5 Where does a square belong in the Venn diagram?Rhombuses Rectangles A B C D Regions A, B, C and D.
A Region A, only the rhombus circleB Region B, in both circlesC Region C, only the rectangle circleD Region D, outside both circlesA square is a rhombus and a rectangle, so it belongs in the overlap, region B.
Question 6 Which property do all parallelograms have?
A Opposite sides are parallel.B All sides are equal.C All angles are right angles.D Exactly one pair of parallel sides.A parallelogram has two pairs of parallel sides. Equal sides and right angles are extra properties.
Question 7 Which shape belongs in the box with the question mark?Quadrilateral Trapezoid Parallelogram Rectangle ? Square A tree diagram of the quadrilateral family.
A trapezoidB rhombusC triangleD pentagonA rhombus is a parallelogram with 4 equal sides, and it leads to square just like rectangle does.
Question 8 A triangle has sides 5 in, 6 in and 7 in. How is it classified by its sides?
A isoscelesB equilateralC rightD scaleneNo two sides are equal, so it is scalene.
Question 9 What is the name of a quadrilateral with 4 equal sides and no right angles?
A squareB rectangleC triangleD rhombusFour equal sides make a rhombus. A square would need 4 right angles.
Question 10 A road sign is a triangle with three sides of 9 inches each. What is it?
A equilateral triangleB scalene triangleC right triangleD obtuse triangleAll three sides are equal, so it is equilateral.