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Copy of 8.7 Classifying Triangles (Due 4/28/22) (7/21/2024)

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Last updated 10 months ago
42 questions
Note from the author:
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.
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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:
_______


Question 9
9.

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


Question 10
10.

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

Question 11
11.
If △RST is an equilateral triangle, find x and the measure of each side

x=_______

Each Side Length=_______

Day 2 4/26/22

Concept Review


Angles Formed by Intersecting Lines

Question 12
12.

Draw an example of vertical right angles.

Question 13
13.

Select all the adjacent angles to ∠5

Question 14
14.

What is the value of z?

Solving Special Triangles

Question 15
15.

Fill in the missing numbers.

Question 16
16.

Explain how to solve for v from the last problem

Question 17
17.

Given the isosceles triangle, solve for b.

Question 18
18.

Find the value of x

Question 19
19.

Find the value of y

Question 20
20.
Find the value of x and y.

x= _______
y= _______
Question 21
21.
Find the value of x and y.

x= _______
y= _______
Question 22
22.
Find the value of x and y.

x= _______
y= _______
Question 23
23.

Determine if the following statement are ALWAYS, SOMETIMES, or NEVER true:

Two angles of an isosceles triangle are congruent.

Question 24
24.

Determine if the following statement are ALWAYS, SOMETIMES, or NEVER true:

The two congruent angles of an isosceles triangle are complementary.

Question 25
25.

Determine if the following statement are ALWAYS, SOMETIMES, or NEVER true:

The congruent angles of an isosceles triangle can be right angles.

Day 3 4/27/22

Solving Special Triangles

Question 26
26.
Find each measure.


m∠J = _______
m∠K =_______
Question 27
27.
Find each measure.


m∠C = _______
m∠E =_______
Question 28
28.
Find each measure.


m∠C = _______
BC =_______
AC=_______
Question 29
29.

Find the value of x.

x=

Question 30
30.

Find the value of ∠A .

∠A=

Question 31
31.

Find the value of x .

Question 32
32.

If △PQR is an equilateral triangle, solve for x

Question 33
33.

If △PQR is an equilateral triangle, solve for y

Day 4 4/28/22

Solving Special Triangles


Parts of Congruent Triangles

Question 34
34.

According to your Page 12 notes, how can you tell if triangles are congruent?

Question 35
35.

Given △STU ≅△KLM, complete each of the following statements.

TU ≅ ____

Question 36
36.

Given △STU ≅△KLM, complete each of the following statements.

KM ≅ ____

Question 37
37.

Given △STU ≅△KLM, complete each of the following statements.

LK ≅ ____

Question 38
38.

Given △STU ≅△KLM, complete each of the following statements.

∠M ≅ ____

Question 39
39.

Given △STU ≅△KLM, complete each of the following statements.

∠T ≅ ____

Question 40
40.

Given △STU ≅△KLM, complete each of the following statements.

△UST ≅ ____

Question 41
41.

Given △STU ≅△KLM, complete each of the following statements.

△TUS ≅ ____

CPCTC

Question 42
42.
Given △BCM ≅ △ZYR, find each missing measure



CM =_______
BM =_______
YZ =_______
m∠B =_______
m∠M =_______
m∠Y =_______