​Triangle Inequality Theorem & PT Converse

STEP 1

• a + b > c

• 'c' is the longest side

• If sides do not form a triangle, then you cannot classify.

​STEP 2

Right Triangle

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Acute Triangle

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Obtuse Triangle​

​Triangle Inequality Theorem & PT Converse

Side lengths: 1, 1, 2​

Step 1:

1 + 1 > 2

No, sides lengths do not form a triangle.

Step 2:

Does not apply​

​Triangle Inequality Theorem & PT Converse cont.

3, 5, 4 

Step 1:

3 + 4 > 5

YES

Step 2:

​

Pythagorean Theorem​

• Given two sides and looking for 3rd side

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​Solving Right Triangles

​Two window washers, Gabby and Martha, lean a ladder against the side of a building so that Gabby can wash a window while Martha holds the ladder. The top of the ladder reaches the window, which is 3 meters off the ground. The base of the ladder is 4 meters away from the building. How long is the ladder?

Trigonometry and Inverse Trig

• Given an angle and side

• Find an angle measure​

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​Solving Right Triangles

Special Right Triangles

• 30-60-90

• 45-45-90​

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​Solving Right Triangles

Parallelograms

-Opposite sides are congruent

-Opposite angles are congruent

-Consecutive angles are supplementary

-Diagonals bisect each other​

rectangles

PROPERTIES OF PARALLELOGRAMS PLUS:​

-Diagonals are congruent

-Each interior angle measures 90​

rhombus

PROPERTIES OF PARALLELOGRAMS PLUS:​

-Congruent sides

-Diagonals bisect opposite angles

-Diagonals are perpendicular​

square

Properties of:

1. Parallelograms

2. Rectangle

3. Rhombus​