Download Triangles

Name ___________________________________
Date ________________________
COURSE: MSC III
MODULE 5: Geometry
UNIT 1: Measurement
Triangles
As you work through the tutorial, complete the following.
1. What is your mission for this lesson? ________________________
Key Words:
Triangle
2. A triangle is a ________________ closed figure.
Vertex of a triangle
Scalene triangle
3. We can use the symbol _____ in front of the letters BMS to name the
triangle that represents the Bermuda Triangle.
Isosceles triangle
Equilateral triangle
Acute triangle
Right triangle
a. Since each letter that names a triangle represents the __________
of an angle, we can write the letters in any order.
b. Three other possible names for 䉭BMS are _______ , _______ ,
and _______ .
4. A triangle that has two equal sides is an ______________ triangle.
Obtuse triangle
Learning
Objectives:
• Classify triangles
according to the
measures of their
sides.
• Determine that the
sum of the angles
in a triangle
equals 180º.
• Find the perimeter
of a triangle.
5. A triangle that has three equal sides
is an ________________ triangle.
• Classify triangles
according to the
measures of their
angles.
Mark this triangle to show that all
three of its sides are equal.
6. A triangle that has no equal sides is a ______________ triangle.
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7. Classify each triangle as isosceles, equilateral, or scalene.
15
13
15
a. ____________
6
15
11
b. ____________
12
12
12
c. ____________
Destination
Math
169
Name ___________________________________
Date ________________________
8. A triangle that has three acute angles is called an
__________ triangle.
9. A triangle that has an obtuse angle is called an
__________ triangle.
10. A triangle that has a right angle is called a __________ triangle.
11. The _____ of the measures of the angles of any triangle is _____ .
D
12. In 䉭LDG, if ⬔DGL ⬔GLD 90º,
then ⬔LDG _____ _____ _____ .
So 䉭LDG is a _________ triangle.
G
L
13. We can name any triangle based on the measures of its
__________ and the measures of its __________ .
14. Describe these triangles based on the measures of their sides and the
measures of their angles.
3
B
53
4
D
O
9
5
Q
7
6
7
37
L
93
6
䉭 DPF
P
S
60
60
7
R
䉭 QRS
© Riverdeep, Inc.
䉭 BOL
F
By angles:
By sides:
Destination
Math
170
Name ___________________________________
Date ________________________
COURSE: MSC III
MODULE 5: Geometry
UNIT 1: Measurement
Triangles
1. Classify each triangle as isosceles, scalene, or equilateral.
7
8
6
4
7
7
4
a. _______________
b. _______________
c. _____________
2. Find the perimeter p of each triangle in question 1.
a. p ____________
b. p ____________
c. p __________
3. Find the measure of the third angle in each triangle. Then classify
each triangle as acute, right, or obtuse.
30
35
42
a. _______________
b. _______________
______________
100
c. _____________
_____________
© Riverdeep, Inc.
Type:______________
60
Destination
Math
171
Name ___________________________________
Date ________________________
4. Classify each triangle by their sides and angles.
Q
G
40
7
P
R
a. The measures of ⬔QPR
N
6
10
R
b. m⬔GNR m⬔GRN <90º
and ⬔QRP are equal.
Type by sides: ___________
Type by sides: ___________
Type by angles: ___________
Type by angles: ____________
c. 䉭 HIJ has two equal sides,
d. 䉭ELK has three equal sides and
one right angle.
no angles greater than 90º.
Type by sides: ___________
Type by sides: ___________
Type by angles: ___________
Type by angles: ____________
5. Kathy is painting a border that has a repeating pattern of triangles.
Each triangle in the pattern has two sides that measure 2 cm and
one side that measures 3 cm. Two of the angles in each triangle
measure 58.
© Riverdeep, Inc.
a. Classify the triangles in the pattern based on the measures
of their sides. ______________
b. Classify the triangles based on the measures of their angles.
_______________
c. What is the perimeter in centimeters of each triangle? __________
Destination
Math
172