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Transcript
2D Figures Review By: Regan Copelan Please use your study guides to help you! Also, use the definitions to prove whether or not you are correct! Example: Which of the following is a quadrilateral that could have one pair of parallel sides and one pair of sides that are not parallel? Rectangle Rhombus Trapezoid The answer is trapezoid because the other choices all have two pairs of parallel sides according to their definitions. Also, this is the perfect definition of a trapezoid. Whatever answer you pick, make sure you back it up with a definition (use your study guide). Which set of properties describes a square? A square has four equal sides and two equal angles. A square has four equal sides with no equal angles. A square has four equal sides and four equal angles. The correct choice is: A square has four equal sides and four equal angles. Classify this shape: I. II. III. IV. parallelogram rectangle rhombus square A) I, II, and III B) I only The shape is: B) ONLY A PARALLELOGRAM Why? The shape doesn’t have 4 right angles, so it can’t be a square or a rectangle. Also, can’t be a rhombus because all 4 sides are not equal. What does a trapezoid, parallelogram, rectangle, & rhombus all have in common? They are all pentagons. They are all squares. They are all triangles. They are all quadrilaterals. The answer is: They are all quadrilaterals. The only thing they have in common is that they all have 4 sides. Which of the following is a quadrilateral which must contain diagonals that are always congruent and must always have four 90° angles? Rhombus Rectangle Parallelogram trapezoid The answer is: Rectangle The rectangle is the only choice that has 90 degree angles. Which of the following is a quadrilateral that always has four equal sides and opposite angles congruent? Trapezoid Parallelogram Rectangle rhombus The answer is: Rhombus. The rhombus is the only choice that has equal sides. Which of the polygons listed below have at least four sides? Triangles Quadrilaterals Pentagons Hexagons Heptagons The answer is: All of them but the triangle have AT LEAST 4 sides. Quadrilaterals = 4 sides Pentagons = 5 sides Hexagons = 6 sides Heptagons = 7 sides What is a property of all rectangles? The diagonals of a rectangle do not have equal length. The four sides of a rectangle have equal length. The opposite sides of a rectangle are parallel. The answer is: The opposite sides of a rectangle are parallel. Classify the triangle: I. Equilateral II. Right III. Acute IV. Isosceles REMEMBER ALL TRIANGLES HAVE 2 NAMES: A SIDE NAME & A AN ANGLE NAME The answer is: Isosceles: 2 sides are the same Acute: angles are all less than 90 degrees Classify the triangle: I. Isosceles II. Equilateral III. Scalene IV. Obtuse The answer is: Isosceles- 2 equal sides Obtuse- 1 obtuse angle What is the difference between a rectangle and a rhombus? Use your definitions to explain. The answer is: A rectangle has four right angles and a rhombus has opposite angles of equal measure. A trapezoid is always an example of a: I. rectangle II. rhombus III. parallelogram IV. square The answer is: None of these (If answer on test doesn’t match up… I will give points back, so mark NONE OF THESE) What is the main difference between squares and rhombuses? Squares always have four congruent sides; rhombuses do not. Rhombuses always have four congruent sides; squares do not. Squares always have four interior angles which each measure 90°; rhombuses do not. The answer is: Squares always have four interior angles which each measure 90°; rhombuses do not. Which of the polygons listed below have at least three angles? Triangles Quadrilaterals Pentagons Hexagons The answer is: They ALL have AT LEAST 3 angles. Triangles: 3 angles Quadrilaterals: 4 angles Pentagons: 5 angles Hexagons: 6 angles Classify the shape below: I. parallelogram II. rectangle III. rhombus IV. square V. trapezoid The answer is: Trapezoid Can’t be square or rectangle because it doesn’t have any right angles. Can’t be parallelogram or rhombus because it only has one set of parallel sides.
