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9.1 Classifying Triangles (Due 4/30/2025)

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23 questions
Note from the author:
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Essential Question: What are the basic characteristics of special triangles? Learning Target: Students will be able to classify triangles by their angles and measures and use that information to solve real-world problems. Complete the entire document for credit.
Essential Question: What are the basic characteristics of special triangles? Learning Target: Students will be able to classify triangles by their angles and measures and use that information to solve real-world problems. Complete the entire document for credit.
Question 1
1.

Can a triangle have two obtuse angles? Why or why not?

Question 2
2.
Classify this triangle by its angles and sides.

Angle:
This is a _______ triangle

Sides:
This is a _______ triangle

Question 3
3.
Classify this triangle by its angles and sides.

Angle:
This is a _______ triangle
Sides:
This is a _______ triangle



Question 4
4.
Classify this triangle by its angles and sides.

By its angles:
_______

By its sides:
_______




Question 5
5.
Classify this triangle by its angles and sides.

By its angles:
_______

By its sides:
_______


Question 6
6.
Classify this triangle by its angles and sides.
By its angles:
_______
By its sides:
_______

Question 7
7.
Classify this triangle by its angles and sides.
By its angles:
_______

By its sides:
_______


Question 8
8.
Classify this triangle by its angles and sides.
By its sides:
_______

By its sides:
_______


Concept Review

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10
Question 9
9.

Draw an example of vertical right angles.

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Question 11
11.

Day 2 4/29/25

Using angles of a Triangle

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10
Question 12
12.
Find the measure of the indicated angle.

m∠C=_______
m∠A=_______
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Using sides of a Triangle

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Question 22
22.
If △RST is an equilateral triangle, find x and the measure of each side

x=_______

Each Side Length=_______
Question 23
23.

If △ABC is an equilateral triangle, solve for x.

Question 10
10.

Select all the adjacent angles to ∠5

What is the value of z?
x=_______
y=_______
z=_______
Question 13
13.
Solve for x.

Find the measure of the indicated angle.

x=_______
m∠C=_______
m∠B=_______
Question 14
14.
Solve for x.

Find the measure of the indicated angle.

x=_______
m∠T=_______
m∠R=_______
Question 15
15.
A regular pentagon has five congruent sides and five 108° angles, as
shown in the figure.

Find the angle measures:
x = _______
y = _______
z = _______
Question 16
16.
Find the length of the indicated side.

Solve for x

x=_______
Question 17
17.
Find the length of the indicated side.

DE=_______
Solve for x

x=_______
Question 18
18.
Solve for x.

Find the length of the indicated side.

x=_______
DE=_______
m∠E=_______
Question 19
19.
Solve for x.

Find the length of the indicated side.

x=_______
KL=_______
m∠J=_______
Question 20
20.

If △ABC is an equilateral triangle, solve for y.

Question 21
21.
Solve for x.

Find the length of the indicated side.

x=_______
OM=_______
m∠G=_______