Geometry Concepts and Area Formulas

Mrs. Zapia's lesson 19 from module 3 covers unknown area problems on the coordinate plane. Students learn to find areas of triangles and simple polygonal regions by composing and decomposing shapes. The lesson explores the relationship between the base and height of a parallelogram and the length and width of a rectangle. Students practice writing ordered pairs, drawing shapes, and calculating areas. The lesson concludes with a summary of key concepts and vocabulary.

What is the main focus of Lesson 19?

• Finding the areas of circles

• Learning about the history of geometry

• Understanding the properties of triangles

• Calculating areas of triangles and polygons on the coordinate plane

How are ordered pairs written for vertices on a coordinate grid?

• In the order of XY

• In the order of YX

• In the order of YZ

• In the order of ZX

What is the formula for the area of a rectangle?

• Base * Height / 2

• Length + Width

• Length * Width

• Base + Height

How do you find the area of a triangle?

• Length * Width

• Base * Height / 2

• Base + Height

• Base * Height

What is the area of a parallelogram if the area of the surrounding rectangle is 48 square units and the areas of the two triangles are 9 square units each?

• 30 square units

• 18 square units

• 9 square units

• 48 square units

What do figures R and P have in common?

• They are both squares

• They are both circles

• They have the same base and height

• They have different areas

What is a quadrilateral?

• A six-sided polygon

• A five-sided polygon

• A four-sided polygon

• A three-sided polygon

Which of the following is true about a rectangle?

• It has no right angles

• It has four right angles and opposite sides are congruent

• It has four right angles and four congruent sides

• It has all sides of different lengths

What is the formula for the area of a trapezoid?

• 1/2 * (Base1 + Base2) * Height

• Base * Height / 2

• Base * Height

• Length * Width

In a triangle, what is the relationship between the base and the height?

• They must be parallel

• They must be perpendicular

• They must be equal

• They must be congruent