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.
Essential Question: What relationships exist between the side lengths and angle measures of a triangle, and how do these relationships help us categorize them?
Learning Target: Students will be able to identify equilateral, isosceles, and scalene triangles and use their properties to find missing side lengths and angle values.
Complete the entire document and use full sentences when prompted for full credit.
Responses without work will receive no points.
Remember to upload work from paper when prompted to receive credit.
Pitanje 1
1.
Can a triangle have two obtuse angles? Why or why not?
Pitanje 2
2.
Classify this triangle by its angles and sides.
Angles:
This is a _______ triangle
Sides:
This is a _______ triangle
Pitanje 3
3.
Classify this triangle by its angles and sides.
Angles:
This is a _______ triangle
Sides:
This is a _______ triangle
Pitanje 4
4.
Classify this triangle by its angles and sides.
By its angles:
_______
By its sides:
_______
Pitanje 5
5.
Classify this triangle by its angles and sides.
By its angles:
_______
By its sides:
_______
Pitanje 6
6.
Classify this triangle by its angles and sides.
By its angles:
_______
By its sides:
_______
Pitanje 7
7.
Classify this triangle by its angles and sides.
By its angles:
_______
By its sides:
_______
Pitanje 8
8.
Classify this triangle by its angles and sides.
By its angles:
_______
By its sides:
_______
Concept Review
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Day 2 4/29/25
Using angles of a Triangle
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Digging Deeper
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Pitanje 9
9.
Draw an example of vertical rightangles.
Pitanje 10
10.
Select all the adjacent angles to ∠5
Pitanje 11
11.
What is the value of z?
x=_______
y=_______
z=_______
Pitanje 12
12.
Find the measure of the indicated angle.
m∠C=_______
m∠A=_______
Pitanje 13
13.
Solve for x.
Find the measure of the indicated angle.
x=_______
m∠C=_______
m∠B=_______
Pitanje 14
14.
Solve for x.
Find the measure of the indicated angle.
x=_______
m∠T=_______
m∠R=_______
Pitanje 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 = _______
Using sides of a Triangle
Pitanje 16
16.
Find the length of the indicated side.
Solve for x
x=_______
Pitanje 17
17.
Find the length of the indicated side.
DE=_______
Solve for x
x=_______
Pitanje 18
18.
Solve for x.
Find the length of the indicated side.
x=_______
DE=_______
m∠E=_______
Pitanje 19
19.
Solve for x.
Find the length of the indicated side.
x=_______
KL=_______
m∠J=_______
Pitanje 20
20.
If △ABC is an equilateral triangle, solve for y.
Pitanje 21
21.
Solve for x.
Find the length of the indicated side.
x=_______
OM=_______
m∠G=_______
Pitanje 22
22.
If △RST is an equilateral triangle, find x and the measure of each side
x=_______
Each Side Length=_______
Pitanje 23
23.
If △ABC is an equilateral triangle, solve for x.
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Pitanje 25
25.
A basketball coach is setting up a passing drill with 3 people. How can he make sure that all the players are the same distance from each other? Without measuring the distance between the players?
_______
What kind of triangle do the players form?_______
Pitanje 26
26.
Two construction teams are building triangular frames for a structure.
The first team builds
Frame A: sides 5ft, 5ft, 8ft
Frame B: sides 5ft, 5ft, 8ft
The second team builds
Frame C: angles 40°, 70°, 70°
Frame D : angles 40°, 70°, 70°
A worker says since they have the same measurements they must be the same shape and size.
Are Frame A and B identical?
_______
Are frame C and D always identical?
Why or why not? Is the worker right?
_______
Pitanje 24a
24a.
A student claims they can draw four different triangles, each meeting two specific criteria. Your job is to determine which of these triangles are possible to create and which are impossible.
In your response you may use the draw space to help you justify your response.
Triangle A: An obtuse, equilateral triangle. Is this possible? Why or Why not?
Pitanje 24b
24b.
Triangle B: A right, scalene triangle. Is this possible? Why or Why not?
Pitanje 24c
24c.
Triangle C: An acute, isosceles triangle. Is this possible? Why or Why not?
Pitanje 24d
24d.
Triangle D: A triangle with side lengths of 4cm, 5cm, and 10cm.
