2-D Geometry – Review

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