DO NOW1.Name me with
proper notation!2.How many sides, vertices, &
diagonals do I have?3.Name one pair of:
1. consecutive sides2. consecutive angles3. consecutive vertices
AIM 1.5: How can we classify triangles?
REMINDER!Quiz #1 on MONDAY!
September 11th, 2009
A
M
S
What did the hypotenuse say to the other sides?
What did the hypotenuse say to the other sides?
Nice legs!
• Take out last night’s homework on polygons for review.
• Any questions?– I understood that…– I had a hard time with…– I don’t understand how to…– I learned that…
HW Review
Triangles & Food!
Classifying Triangles
• Create a chart in your notebook to organize the various definitions and drawings that we will be taking down as part of this lesson.
So what was our definition of a triangle again?!?!?!
Triangles
• A triangle is a three sided polygon with 3 vertices and no diagonals.
• All of this was from our DO NOW!
• Have you heard of these types of triangles before?Right, acute, obtuse, scalene, equilateral, and isosceles?
Come up with the definitions!• In groups of two or three, you will look at page 60
and 61 to look at six different types of triangles.
• Your goal is to come up with ‘good’ definitions that describe each type of triangle.
• Make sure you sketch the triangles into your notebook!
• Try your best, we will come together as a group to go over your definitions.
Right Triangles
• Definition:– A right triangle has one right angle.
• Sketches:T
S
U
S
B
L
Acute Triangle
• From our lesson last week, what is an acute angle?
• Definition:– An acute triangle has three acute angles.
• Sketches:72°
58°
50°
84°
46°
50°
Obtuse Triangle
• What’s an obtuse angle?
• Definition:– An obtuse triangle has one obtuse angle.
• Sketches:
135°98°
X
W
V
M
A
S
Scalene Triangle
• Definition:– A scalene triangle is a triangle with no congruent
sides.
• Sketches:
Can we use tick/dash marks to denote congruence of sides in triangle XWV?
28”
20”
11”
X
W
V
Equilateral Triangle
• Definition:– An equilateral triangle has three congruent sides
and three congruent angles.
• Sketches:
Can we use any tick/hash marks to denote congruence of sides and angles in these triangles?
60°
60°
60°
3’
3’
3’
Equilateral Triangle = Regular Polygon?
• Remember polygons?– Well, an equilateral triangle is actually what we
call a regular 3-sided polygon. This is because it is a polygon that has congruent sides and congruent angles.
– We can also have regular quadrilaterals, pentagons, hexagons, heptagons, etc…
– What might a regular quadrilateral be called?
Isosceles Triangle
• Definition:– An isosceles triangle has at least two congruent
sides.
• SketchesJ
A
M
F
OE
Isosceles Triangles (continued)
• Let’s analyze an isosceles triangle more closely…
Vertex AngleBase Angles
Base
Guided Practice• Page 62, #1 - 9
• What type of trianglescan you classify in this painting?
Kazuya Akimoto“Rising Blue Triangles” pastel 55×43cm2003
• Triangles are often found in a lot of architectural designs. For example, this is a structure over a bridge that contains triangles.
YES… WE CAN!!!
How do we classify three sided polygons?What pieces of information do we need to know
to classify triangles appropriately?
LOOKING AHEAD…◦ On Monday, we will take the first unit quiz. Be sure to
study!
HOMEWORK…◦ Complete worksheet.
In closing…
