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Name ———————————————————————
SECTION
4
Date ————————————
Geometry
Lesson 7: Classifying Triangles
Triangles can be classified by their angles or their sides.
Acute Triangle
all acute angles
55°
Obtuse Triangle
one obtuse
angle
45°
40°
5 in.
5 in.
Isosceles Triangle
At least two sides 2 cm
2 cm
are the same
length.
3 cm
110°
25°
Scalene
Triangle
No sides are
the same
length.
60°
90°
5 in.
30°
7 ft
11 ft
15 ft
HINT
All triangles
have at least two
classifications.
Practice: First Try
Tell whether each triangle is acute, obtuse, or right.
1.
2.
3.
25°
90°
66°
18°
65°
68°
132° 30°
46°
Tell whether each triangle is equilateral, isosceles, or scalene.
4.
5.
6 ft
6.
4m
5 ft
5 in.
4m
7 in.
4m
7 ft
5 in.
McDougal Littell Middle School Math
Remediation Book Lesson 4.7
4. GEOMETRY
7. Classifying Triangles
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
Right Triangle
one right
angle
Equilateral
Triangle
All sides are
the same length.
85°
111
Name ———————————————————————
Date ————————————
Practice: Second Try
Tell whether each triangle is acute, obtuse, or right.
1.
2.
65°
3.
51°
42°
42°
45°
96°
64°
90°
45°
Tell whether each triangle is equilateral, isosceles, or scalene.
4.
5.
13 m
6m
6.
2m
9 in.
2m
17 m
7 in.
2m
9 in.
Draw a diagram for each description.
7. An isosceles triangle with three acute angles.
8. An isosceles triangle with one obtuse angle.
9. An isosceles triangle with one right angle.
Extend Your Skills
11. An equiangular triangle has three 60° angles. Is it also an acute triangle?
12. Can a triangle have two obtuse angles? Two acute angles? Explain.
Puzzle
4. GEOMETRY
7. Classifying Triangles
A triangle classified by its sides can also be classified by its angles. Draw a horizontal
or vertical line from classification to classification if there existst a triangle that can
be classified by both. Start at “Equilateral” and make your way through the maze
until you reach another “Equilateral”. You can only move one box at a time!
112
Equilateral
Right
Isosceles
Equilateral
Obtuse
Scalene
Right
Acute
Obtuse
Scalene
Right
Acute
Isosceles
Obtuse
Isosceles
Equilateral
Isosceles
Obtuse
Scalene
Equilateral
Scalene
Right
Scalene
Acute
Right
Isosceles
Right
Acute
Obtuse
Isosceles
Right
Equilateral
Scalene
Acute
Equilateral
McDougal Littell Middle School Math
Remediation Book Lesson 4.7
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
10. What happens when you try to draw a triangle with two right angles?
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Name ———————————————————————
SECTION
4
Date ————————————
Geometry
Lesson 7: Classifying Triangles
Triangles can be classified by their angles or their sides.
Acute Triangle
all acute angles
55°
Obtuse Triangle
one obtuse
angle
45°
40°
5 in.
5 in.
Isosceles Triangle
At least two sides 2 cm
2 cm
are the same
length.
3 cm
110°
25°
Scalene
Triangle
No sides are
the same
length.
60°
90°
5 in.
30°
7 ft
11 ft
15 ft
HINT
All triangles
have at least two
classifications.
Practice: First Try
Tell whether each triangle is acute, obtuse, or right.
1.
2.
3.
25°
90°
66°
18°
65°
68°
132° 30°
46°
Tell whether each triangle is equilateral, isosceles, or scalene.
4.
5.
6 ft
6.
4m
5 ft
5 in.
4m
7 in.
4m
7 ft
5 in.
McDougal Littell Middle School Math
Remediation Book Lesson 4.7
4. GEOMETRY
7. Classifying Triangles
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
Right Triangle
one right
angle
Equilateral
Triangle
All sides are
the same length.
85°
111
Name ———————————————————————
Date ————————————
Practice: Second Try
Tell whether each triangle is acute, obtuse, or right.
1.
2.
65°
3.
51°
42°
42°
45°
96°
64°
90°
45°
Tell whether each triangle is equilateral, isosceles, or scalene.
4.
5.
13 m
6m
6.
2m
9 in.
2m
17 m
7 in.
2m
9 in.
Draw a diagram for each description.
7. An isosceles triangle with three acute angles.
8. An isosceles triangle with one obtuse angle.
9. An isosceles triangle with one right angle.
Extend Your Skills
11. An equiangular triangle has three 60° angles. Is it also an acute triangle?
12. Can a triangle have two obtuse angles? Two acute angles? Explain.
Puzzle
4. GEOMETRY
7. Classifying Triangles
A triangle classified by its sides can also be classified by its angles. Draw a horizontal
or vertical line from classification to classification if there existst a triangle that can
be classified by both. Start at “Equilateral” and make your way through the maze
until you reach another “Equilateral”. You can only move one box at a time!
112
Equilateral
Right
Isosceles
Equilateral
Obtuse
Scalene
Right
Acute
Obtuse
Scalene
Right
Acute
Isosceles
Obtuse
Isosceles
Equilateral
Isosceles
Obtuse
Scalene
Equilateral
Scalene
Right
Scalene
Acute
Right
Isosceles
Right
Acute
Obtuse
Isosceles
Right
Equilateral
Scalene
Acute
Equilateral
McDougal Littell Middle School Math
Remediation Book Lesson 4.7
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
10. What happens when you try to draw a triangle with two right angles?
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