Download 5.5A- Triangle Classification

Integrated Math 1 Extended - Unit 5
Name: __________________________
5.5A- Triangle Classification
Date: _____________ Period: ______
Objective: To define and classify different types of triangles by sides and angles.
Warm-up: Solve for the value of the variable in the triangles below.
a.
b.
40°
(2𝑥 − 4)°
60°
𝑧°
Vocabulary:
Classification by Sides:
** Scalene Triangle: A triangle with no congruent sides.
** Isosceles Triangle: A triangle with two (2) congruent sides.
** Equilateral Triangle: A triangle with all sides congruent.
(3𝑥)°
84°
Classification by Angles:
** Acute Triangle: A triangle with all acute angles.
** Right Triangle: A triangle with one (1) right angle and two acute angles.
** Obtuse Triangle: A triangle with one (1) obtuse angle and two acute angles.
** Equiangular Triangle: A triangle with all congruent angles. The angles have to each be
exactly _______________ degrees.
Example #1:
Classify each triangle by its sides
5 in
6 cm
6 cm
4 ft
3 in
4 ft
4 ft
4 ft
4 ft
Example #2:
Classify each triangle by angles
5 mm
4 mm
3 mm
30°
15.2 in
6.8 in
9.9 in
Example #3:
Classify the following triangles by sides and angles
6
10
112°
9
11
48°
5
77°
5
68°
6.8
51°
8
52°
4.9
Example #4:
Solve for the variable in each diagram below.
7
30°
25°
x+5
30°
13y°
Example #5:
Use the given information and the diagram to answer the question.
Given: POM is a Right Isosceles
Given: RAT is Equilateral
PO  OM
Solve for the TA
Find the missing angle measures.
R
P
4x – 7
O
M
A
2x + 3
T
Integrated Math 1 Extended - Unit 5
Name: __________________________
5.5B- Triangle Classification
Date: _____________ Period: ______
Objective: To define and use the specific parts of a triangle
Warm-up:
Match each vocabulary term to its definition.
1. Acute Triangle
___________
A. Contains one right angle
2. Obtuse Triangle
___________
B. All sides and angles are congruent
3. Right Triangle
___________
C. No congruent sides or angles
4. Isosceles Triangle
___________
D. Two sides and angles are congruent
5. Equilateral Triangle
___________
E. Contains all acute angles
6. Scalene Triangle
___________
F. Contains one obtuse angle
Vocabulary:
Isosceles Triangle:
* Base: The side that is non-congruent (the unequal side)
* Legs: The two congruent sides of an isosceles triangle.
* Base Angles: The two angles that are adjacent to the base of the triangle.
* Vertex Angle: The angles that is formed by the two congruent sides of an isosceles
triangle.
Right Triangle:
* Legs: The two sides that form the right angle in a right triangle.
* Hypotenuse: The longest side of a right triangle located across from the right
angle.
Example 1:
Fill in any information that you can get from the diagram. If there is not enough information
to provide an answer, write “Not enough info.”
A
a) Classification of Triangle:
𝑚∠𝐴 =
c)
8 inches
̅̅̅̅ =
𝐴𝐵
𝑚∠𝐵 =
̅̅̅̅
𝐵𝐶 =
𝑚∠𝐶 =
̅̅̅̅ =
𝐴𝐶
B
C
b) Classification of Triangle:
𝑚∠𝐴 =
A
c)
̅̅̅̅
𝐴𝐵 =
𝑚∠𝐵 =
̅̅̅̅ =
𝐵𝐶
𝑚∠𝐶 =
̅̅̅̅
𝐴𝐶 =
120
4 cm
C
7 cm
B
A
c) Classification of Triangle:
c)
𝑚∠𝐴 =
53
̅̅̅̅ =
𝐴𝐵
𝑚∠𝐵 =
̅̅̅̅
𝐵𝐶 =
𝑚∠𝐶 =
̅̅̅̅
𝐴𝐶 =
3 yds
C
d) Classification of Triangle:
A
c)
𝑚∠𝐴 =
B
4 yds
̅̅̅̅ =
𝐴𝐵
𝑚∠𝐵 =
̅̅̅̅ =
𝐵𝐶
𝑚∠𝐶 =
̅̅̅̅
𝐴𝐶 =
6ft
45
C
B
Connecting Algebra and Geometry:
A. Set up and equation and solve for z.
B. Set up an equation and solve for x.
Then, find the length of ̅̅̅̅
𝐴𝐵 .
Then, find the length of ̅̅̅̅
𝐴𝐶 .
A
A
15𝑧 − 24
7𝑥 − 25
𝑧+4
C
B
C
3𝑧
3𝑥 − 1
B