2-D Geometry – Review Remember Thursday, April 23, 2015 Four friends drew triangles on the pavement using chalk. Triangles can be grouped and named by their angle measures. right: has a square corner Tara drew isosceles triangles. Meg drew equilateral triangles. Zack drew right triangles. Jeri drew another type of triangle. acute: all angles less than a right angle obtuse: one angle greater than a right angle • Tara drew shape A, since it is isosceles (it has 2 equal sides). Who drew each triangle? B F C G D H E I Triangles can also be grouped and named by their side lengths. equilateral: all sides equal isosceles: 2 sides equal • Suppose Jeri had drawn scalene triangles. Why would it have been difficult to figure out who drew Triangle C? scalene: no sides equal Some triangles fit in both groups, e.g., a right isosceles triangle Copyright © 2011 by Nelson Education Ltd. Leaps and Bounds Classifying Quadrilaterals, Pathway 2 1 1. Complete each sentence below about these 4 triangles. Part a) has been done for you. a) I have 3 acute angles. I am I am and triangle. b) Only one of my sides is 2 cm. I am and I am c) I have a right angle. I am I am d) I have 2 equal sides. I am I am Copyright © 2011 by Nelson Education Ltd. triangle. and triangle. and triangle. Leaps and Bounds Classifying Quadrilaterals, Pathway 2 2 Classifying Quadrilaterals Remember Choose a type of quadrilateral from each list. List 1: square or rectangle List 2: parallelogram or trapezoid List 3: rhombus or kite • Imagine you are writing a book about drawing quadrilaterals. If someone follows your instructions, he or she will draw the correct type of quadrilateral. Write instructions for each of your quadrilaterals below. Quadrilaterals have 4 sides. They have special names based on their properties. A parallelogram has 2 pairs of equal opposite sides. • Ask someone to test your instructions. Make changes if your instructions do not work.. A rectangle is a parallelogram with 4 right angles. Quadrilateral from List 1: A square is a rectangle with all sides equal. Quadrilateral from List 2: A rhombus is a parallelogram with 4 equal sides. A trapezoid has exactly 1 pair of parallel sides. Quadrilateral from List 3: A kite has 2 pairs of equal sides that touch. Classifying Quadrilaterals Copyright © 2011 by Nelson Education Ltd. Leaps and Bounds Classifying Quadrilaterals, Pathway 2 3 Meg and Zach were playing a drawing game. Each person drew 6 dots anywhere on a piece of paper. If they join dots to make a quadrilateral, they score points. Zack drew a trapezoid and Meg drew a parallelogram. Remember Quadrilaterals have 4 sides. They have special names based on their properties. A parallelogram has 2 pairs of equal opposite sides. A rectangle is a parallelogram with 4 right angles. A square is a rectangle with all sides equal. Here is how points are scored: 1 point for each pair of equal opposite sides 1 point for 1 or 2 right angles 2 points for more than 2 right angles 1 point for 1 or more pairs of parallel sides Zach scored 2 points for his trapezoid: 1 point for the 2 right angles and 1 point for a pair of parallel sides. Meg scored 3 points for her parallelogram: 2 points for 2 pairs of equal opposite sides and 1 point for parallel sides. • Can Zack draw a rectangle using the dots? If so, how many points would he score? A rhombus is a parallelogram with 4 equal sides. A trapezoid has exactly 1 pair of parallel sides. A kite has 2 pairs of equal sides that touch. • Can Zack draw a kite? If so, how many points would he score? • Can Meg draw a rhombus? If so, how many points would she score? Copyright © 2011 by Nelson Education Ltd. Leaps and Bounds Classifying Quadrilaterals, Pathway 2 4 A quadrilateral has exactly 2 right angles. Lila says that it is a parallelogram. Do you agree? Why or why not? ____________________________________________________________________ ____________________________________________________________________ ____________________________________________________________________ Describe 3 or more ways these 2 shapes are the same. ____________________________________________________________________ ____________________________________________________________________ ____________________________________________________________________ Draw a dot in the middle of each side of each quadrilateral. The dots have been drawn for you on the first one. Connect the dots in each quadrilateral, going clockwise. What do you notice? ____________________________________________________________________ ____________________________________________________________________ ___________________________________________________________________ Copyright © 2011 by Nelson Education Ltd. Leaps and Bounds Classifying Quadrilaterals, Pathway 2 5 Lines of Symmetry 1. a) How many ways can you fold a b) How many ways can you fold a rectangle along a line of symmetry? square along a line of symmetry? ways Draw a rectangle and its lines of symmetry. ways Draw a square and its lines of symmetry. 2. Tell how many lines of symmetry each shape has. Draw all the lines of symmetry on each shape. a) c) lines of symmetry b) e) lines of symmetry d) lines of symmetry Copyright © 2011 by Nelson Education Ltd. lines of symmetry f) lines of symmetry Leaps and Bounds lines of symmetry Classifying Quadrilaterals, Pathway 2 6
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