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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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1.

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

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2.

Classify this triangle by its angles and sides.

Angle:

This is a triangle

Sides:

This is a triangle

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3.

Classify this triangle by its angles and sides.

Angle:

This is a triangle

Sides:

This is a triangle

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4.

Classify this triangle by its angles and sides.

By its angles:

By its sides:

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5.

Classify this triangle by its angles and sides.

By its angles:

By its sides:

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6.

Classify this triangle by its angles and sides.

By its angles:

By its sides:

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7.

Classify this triangle by its angles and sides.

By its angles:

By its sides:

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8.

Classify this triangle by its angles and sides.

By its sides:

By its sides:

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9.

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

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10.

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

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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

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12.

Draw an example of vertical right angles.

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13.

Select all the adjacent angles to ∠5

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14.

What is the value of z?

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15.

Fill in the missing numbers.

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16.

Explain how to solve for v from the last problem

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17.

Given the isosceles triangle, solve for b.

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18.

Find the value of x

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19.

Find the value of y

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20.

Find the value of x and y.

x=

y=

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21.

Find the value of x and y.

x=

y=

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22.

Find the value of x and y.

x=

y=

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23.

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

Two angles of an isosceles triangle are congruent.

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24.

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

The two congruent angles of an isosceles triangle are complementary.

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25.

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

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

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26.

Find each measure.

m∠J =

m∠K =

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27.

Find each measure.

m∠C =

m∠E =

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28.

Find each measure.

m∠C =

BC =

AC=

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29.

Find the value of x.

x=

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30.

Find the value of ∠A .

∠A=

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31.

Find the value of x .

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32.

If △PQR is an equilateral triangle, solve for x

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33.

If △PQR is an equilateral triangle, solve for y

Day 4 4/28/22

Solving Special Triangles

Parts of Congruent Triangles

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34.

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

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35.

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

TU ≅ ____

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36.

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

KM ≅ ____

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37.

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

LK ≅ ____

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38.

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

∠M ≅ ____

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39.

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

∠T ≅ ____

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40.

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

△UST ≅ ____

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41.

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

△TUS ≅ ____

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42.

Given △BCM ≅ △ZYR, find each missing measure

CM =

BM =

YZ =

m∠B =

m∠M =

m∠Y =