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Biblioteka

8.7 Classifying Triangles (Due 4/28/22)

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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.

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Day 2 4/26/22

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Solving Special Triangles

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Day 3 4/27/22

Solving Special Triangles

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CPCTC

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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.

Angle:

This is a triangle

Sides:

This is a triangle

Pitanje 3
3.

Classify this triangle by its angles and sides.

Angle:

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 sides:

By its sides:

Pitanje 9
9.

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

Pitanje 10
10.

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

Pitanje 11
11.

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

x=

Each Side Length=

Concept Review

Angles Formed by Intersecting Lines

Pitanje 12
12.

Draw an example of vertical right angles.

Pitanje 13
13.

Select all the adjacent angles to ∠5

Pitanje 14
14.

What is the value of z?

Pitanje 15
15.

Fill in the missing numbers.

Pitanje 16
16.

Explain how to solve for v from the last problem

Pitanje 17
17.

Given the isosceles triangle, solve for b.

Pitanje 18
18.

Find the value of x

Pitanje 19
19.

Find the value of y

Pitanje 20
20.

Find the value of x and y.

x=

y=

Pitanje 21
21.

Find the value of x and y.

x=

y=

Pitanje 22
22.

Find the value of x and y.

x=

y=

Pitanje 23
23.

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

Two angles of an isosceles triangle are congruent.

Pitanje 24
24.

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

The two congruent angles of an isosceles triangle are complementary.

Pitanje 25
25.

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

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

Pitanje 26
26.

Find each measure.

m∠J =

m∠K =

Pitanje 27
27.

Find each measure.

m∠C =

m∠E =

Pitanje 28
28.

Find each measure.

m∠C =

BC =

AC=

Pitanje 29
29.

Find the value of x.

x=

Pitanje 30
30.

Find the value of ∠A .

∠A=

Pitanje 31
31.

Find the value of x .

Pitanje 32
32.

If △PQR is an equilateral triangle, solve for x

Pitanje 33
33.

If △PQR is an equilateral triangle, solve for y

Day 4 4/28/22

Solving Special Triangles

Parts of Congruent Triangles

Pitanje 34
34.

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

Pitanje 35
35.

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

TU ≅ ____

Pitanje 36
36.

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

KM ≅ ____

Pitanje 37
37.

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

LK ≅ ____

Pitanje 38
38.

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

∠M ≅ ____

Pitanje 39
39.

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

∠T ≅ ____

Pitanje 40
40.

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

△UST ≅ ____

Pitanje 41
41.

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

△TUS ≅ ____

Pitanje 42
42.

Given △BCM ≅ △ZYR, find each missing measure

CM =

BM =

YZ =

m∠B =

m∠M =

m∠Y =