Drill: Tuesday, 1/13 For Exercises 1 and 2, find the value of x. Give your answer in simplest radical form. 1. 2. Simplify each expression. 3. 4.

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Presentation transcript:

Drill: Tuesday, 1/13 For Exercises 1 and 2, find the value of x. Give your answer in simplest radical form. 1. 2. Simplify each expression. 3. 4. SWBAT: Justify and apply properties of 45°-45°-90° triangles and 30°-60°-90° triangles.

5.8 Special Right Triangles SWBAT: Justify and apply properties of 45°-45°-90° triangles and 30°-60°-90° triangles.

Special Triangle #1 Start with a colored piece of paper and cut it into a square. Fold the square in half on a diagonal. What type of triangle have you folded from the square? (Label the measures for each angle) Label the two legs of the triangle “x” On a separate sheet of paper find the length of the hypotenuse in terms of “x”. SWBAT: Justify and apply properties of 45°-45°-90° triangles and 30°-60°-90° triangles.

SWBAT: Justify and apply properties of 45°-45°-90° triangles and 30°-60°-90° triangles.

SWBAT: Justify and apply properties of 45°-45°-90° triangles and 30°-60°-90° triangles.

SWBAT: Justify and apply properties of 45°-45°-90° triangles and 30°-60°-90° triangles.

SWBAT: Justify and apply properties of 45°-45°-90° triangles and 30°-60°-90° triangles.

Special Right Triangle #2 SWBAT: Justify and apply properties of 45°-45°-90° triangles and 30°-60°-90° triangles.

Special Right Triangle #2 SWBAT: Justify and apply properties of 45°-45°-90° triangles and 30°-60°-90° triangles.

SWBAT: Justify and apply properties of 45°-45°-90° triangles and 30°-60°-90° triangles.

SWBAT: Justify and apply properties of 45°-45°-90° triangles and 30°-60°-90° triangles.

SWBAT: Justify and apply properties of 45°-45°-90° triangles and 30°-60°-90° triangles.

SWBAT: Justify and apply properties of 45°-45°-90° triangles and 30°-60°-90° triangles.

SWBAT: Justify and apply properties of 45°-45°-90° triangles and 30°-60°-90° triangles.

In Pairs… SWBAT: Justify and apply properties of 45°-45°-90° triangles and 30°-60°-90° triangles.

Lesson Quiz: Part I Name: ______________ Find the values of the variables. Give your answers in simplest radical form. 1. 2. 3. 4. SWBAT: Justify and apply properties of 45°-45°-90° triangles and 30°-60°-90° triangles.

Find the perimeter and area of each figure Find the perimeter and area of each figure. Give your answers in simplest radical form. 5. a square with diagonal length 20 cm 6. an equilateral triangle with height 24 in. SWBAT: Justify and apply properties of 45°-45°-90° triangles and 30°-60°-90° triangles.