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ch 4
Congruent Triangles
4.1 Classify Triangles
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4.1 classifying triangles ink.notebook
October 26, 2016
Lesson Objectives
Lesson Objectives
Standards
Standards
Lesson Notes
Lesson Notes
4.1 Classifying Triangles
After this lesson, you should be able to successfully be able to classify triangles by both sides and angles and use this knowledge to find missing parts of the triangle. Press the tabs to view details.
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Lesson Objectives
Standards
Lesson Notes
If _____________ of the ANGLES of a triangle are _____ angles, then the triangle is an _______ triangle.
G.SRT.5 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
If _____ of the angles of a triangle is a _______ angle, then the triangle is a _______ triangle.
If _____ of the angles of a triangle is an ________ angle, then the triangle is an ________ triangle.
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4.1 classifying triangles ink.notebook
October 26, 2016
If ___________ SIDES of a triangle are ____________, then the triangle is an ____________ triangle. (can also be considered _________________.)
If ___ _______ _____ sides of a triangle are congruent, then the triangle is a ___________ triangle. If ___ _____ sides of a triangle are congruent, then the triangle is a ___________ triangle.
If all three angles of an
acute triangle are
____________, then the
triangle is an
_______________ triangle Each angle
measures _____
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4.1 classifying triangles ink.notebook
October 26, 2016
Classify each triangle as acute, equiangular, obtuse, or right.
A
a)
b)
c)
G
E
90°
120°
60°
D
B
35°
25°
F
H
C
60°
30°
Classify each triangle as equilateral, isosceles, or scalene.
N
H
f)
e)
d)
T
23
L
P
R
J
X
15
J
12
V
Classify each triangle by its angles and sides.
g)
h) N
B
30°
O
120°
P
32x
8x
A
32x
C
Q
i)
A
j)
60°
R
30°
60°
60°
2
S
G
1
C
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4.1 classifying triangles ink.notebook
October 26, 2016
1. Find x and the length of each side if ΔRST is an equilateral triangle. Write an equation and show all work.
R
5x ­ 4
2x + 2
S
T
3x
2. Find x and the length of each side if ΔABC is isosceles with AB = BC. Write an equation and show all work. B
3y + 2
4y
A
3y
C
On the
Worksheet
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4.1 classifying triangles ink.notebook
October 26, 2016
Classify each triangle as acute, equiangular, obtuse, or right.
PRACTICE
Classify each triangle as acute, equiangular, obtuse, or right.
3.
Classify each triangle as acute, equiangular, obtuse, or right.
5.
6.
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4.1 classifying triangles ink.notebook
Classify each triangle as equilateral, isosceles, or scalene.
7. èABE
8. èEDB
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Classify each triangle in the figure at the right by its angles and sides.
11. èABD
12. èABC
9. èEBC
13. èEDC
10. èDBC
14. èBDC
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4.1 classifying triangles ink.notebook
17. Find x and the length of each side if ΔRST is an isosceles triangle with
October 26, 2016
For each triangle, find x AND the measure of each side.
18. ΔFGH is an equilateral triangle with FG = x + 5, GH = 3x − 9, and FH = 2x − 2.
For each triangle, find x AND the measure of each side.
19. ΔLMN is an isosceles triangle, with LM = LN, LM = 3x − 2,
LN = 2x + 1, and MN = 5x − 2. Find the measures of the sides of ΔKPL and classify each triangle by its sides.
20. K(−3, 2), P(2, 1), L(−2, −3)
y
x
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4.1 classifying triangles ink.notebook
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Find the measures of the sides of ΔKPL and classify each triangle by its sides.
Find the measures of the sides of ΔKPL and classify each triangle by its sides.
21. K(5, −3), P(3, 4), L(−1, 1) 22. K(−2, −6), P(−4, 0), L(3, −1) y
y
x
x
Answers:
1. Equiangular 3. Right 5. Obtuse 7. Scalene 9. Scalene 11. Equiangular, equilateral 13. right, scalene 15. 4x – 3 = 2x + 5, x = 4 17. 9x + 2 = 6x + 8, x = 2 19. 3x – 2 = 2x + 1, x = 3, LM = 7, LN = 7, MN = 13 #’s 12 – 14, 57 – 59, 65, 68, y
21.
PG 238 – 242: P
78 – 85 L
x
K
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4.1 classifying triangles ink.notebook
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