Study Guide 2/7/23

On a scale drawing of an auditorium, 1 inch equals 12 feet. What is the actual area of the auditorium if the scale drawing is 22.5 inches by 12.75 inches?

• 270 sq feet

• 153 sq feet

• 423 sq feet

• 846 sq feet

• 41,310 sq feet

The ratio between two measures is called the scale (a)  

A garden has two sides that each measure 50 feet and two sides that each measure 35 feet . Name the quadrilaterals that could possible describe shape of the garden with these dimensions. (SELECT 3)

• Square

• Parallelogram

• Kite

• Rectangle

Two angles and an included side creates how many triangles?

• One Unique

• Infinitely Many

Two sides and a non-included angle creates how many triangles?

• One Unique

• Infinitely Many

Three sides are given, how many triangles can be created?

• One Unique

• Infinitely Many

Three angles are given, how many triangles can be created?

• One Unique

• Infinitely Many

The following sides are given, 7 inches, 12 inches, and 4 inches, how many triangles can be created?

• One Unique

• Infinitely Many

• No Triangles (Triangle sum theorem)

• No Triangles (Triangle Inequality Theorem)

The following angles are given, 30 degrees, 50 degrees, 99 degrees, how many triangles can be created?

• One Unique

• Infinitely Many

• No Triangles (Triangle sum theorem)

• No Triangles (Triangle Inequality Theorem)

Select all the statements that are true. (SELECT 3)

• The radius of a circle is twice its diameter.

• To find the diameter of a circle, divide its circumference by pi.

• The circumference of a circle is greater than its diameter.

• The circumference of a circle is twice its radius.

• To find the diameter of a circle, multiply its radius by two.