Developing Angle Relationships for Triangles

​Warm Up:

Solve for the volume for the prisim.

The triangle sum theorem states that the three interior angles in the triangle adds up to 180 degrees.

a+b+c=180

Subject | Subject

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Equilateral triangle

An equilateral triangle has 3 equal sides. Since all 3 sides are congruent we know that all angles are congruent.

x+y+z=180

What does congruent mean?

Isosceles Triangle

An isosceles triangle has 2 equal sides. Since 2 of those sides are congruent we know that 2 of the angles are also congruent.

40+x+y=180

Subject | Subject

Scalene Triangle

A scalene triangle does not have any equal sides. Since all the sides are not congruent we know that none of the angles are congruent.

33+122+25=180

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Match

Match the following

• Isosceles Triangle

• Equilateral Triangle

• Scalene Triangle

• All the triangles interior angles add up to

Two equal sides and angles

All sides and angles congruent

No sides are angles are equal

180

• Two equal sides and angles

• All sides and angles congruent

• No sides are angles are equal

• 180

Open Ended

How can you remember the different types of triangles?

Multiple Choice

What is the value of x?

• I don't know

• 141

• 39

• 180

Drag and Drop

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Placeholder

angles are two angles that​ sum is ​

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. ​

Placeholder

angles are two angles whose sum is ​

Placeholder

these two angles form a right angle.

Drag these tiles and drop them in the correct blank above

Supplementary

180

Complementary

90

Open Ended

How can you remember the difference between supplementary and complementary angles?

These two angles are supplementary because the two angles form a straight angle.

Subject | Subject

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Poll

What type of angle is this?

• Supplementary

• Complementary

• I don't know

Poll

What do the angles add up to?

• 180

• 90

• I don't know

Dropdown

What is the angle of ABC?

Select answer

Dropdown

The value of x is ​

Select answer

​Exit Ticket

​Write your answer on the notecard. What is the value of the oragne angle?

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