4.1 classifying triangles ink.notebook 1 October 30, 2017 Page 140 ch 4 Congruent Triangles 4.1 Classify Triangles Page 141 Page 142 Lesson Objectives Standards Lesson Notes Press the tabs to view details. 4.1 Classifying Triangles Lesson Objectives Press the tabs to view details. Lesson Notes Standards 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.
Transcript
4.1 classifying triangles ink.notebook
1
October 30, 2017
Page 140
ch 4 Congruent Triangles
4.1 Classify Triangles
Page 141 Page 142
Lesson Objectives Standards Lesson Notes
Press the tabs to view details.
4.1 Classifying Triangles
Lesson Objectives
Press the tabs to view details.
Lesson NotesStandards
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.
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Lesson Objectives Standards
Press the tabs to view details.
Lesson Notes
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 are _____ angles, then the triangle is an _______ triangle.
If _____ of the angles of a triangle is an ________ angle, then the triangle is an ________ triangle.
If _____ of the angles of a triangle is a _______ angle, then the triangle is a _______ triangle.
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.
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_______________ triangle
Each angle measures _____
If all three angles of an
acute triangle are ____________, then the
triangle is an
A
B C60° D
E
F35°
120°
25°
G
H J30°60°
90°
b)a) c)
Classify each triangle as acute, equiangular, obtuse, or right.
Classify each triangle as equilateral, isosceles, or scalene.
H
JL
N
PR X
T
V
12
15
23f)e)d)
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30°
120°
N
P
O30°
60°
Q
R S60°
60°
G
A
C
12
B
CA8x
32x
32x
Classify each triangle by its angles and sides.
g) h)
i) j)
1. Find x and the length of each side if ΔRST is an equilateral triangle. Write an equation and show all work.
2x + 2
R
S T
5x 4
3x
2. Find x and the length of each side if ΔABC is isosceles with AB = BC. Write an equation and show all work.
A C
B
4y 3y + 2
3y
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On the Worksheet
PRACTICEClassify each triangle as acute, equiangular, obtuse, or right.
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Classify each triangle as acute, equiangular, obtuse, or right.
3. Classify each triangle as acute, equiangular, obtuse, or right.
5. 6.
Classify each triangle as equilateral, isosceles, or scalene.
7. ËABE
9. ËEBC
8. ËEDB
10. ËDBC
Classify each triangle in the figure at the right by its angles and sides.
11. ËABD
12. ËABC
13. ËEDC
14. ËBDC
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17. Find x and the length of each side if ΔRST is an isosceles triangle
with
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.
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19. ΔLMN is an isosceles triangle, with LM = LN, LM = 3x − 2, LN = 2x + 1, and MN = 5x − 2.
For each triangle, find x AND the measure of each side. Find the measures of the sides of ΔKPL and classify each triangle by its sides.
x
y20. K(−3, 2), P(2, 1), L(−2, −3)
Find the measures of the sides of ΔKPL and classify each triangle by its sides.
x
y21. K(5, −3), P(3, 4), L(−1, 1)
x
y
Find the measures of the sides of ΔKPL and classify each triangle by its sides.
