1. Lesson 2

1.5. Explore

Mathematics 30-3 Module 5

Module 5: Geometry

 

Explore

 

In Try This 1, you may have noticed that a quadrilateral is a polygon made up of four sides, four angles, and four vertices—hence the name quad, meaning “four,” and lateral, meaning “side.” The different types of quadrilaterals can be classified as a square, rectangle, trapezoid, parallelogram, rhombus, or kite. The four interior angles of any of these types of quadrilaterals will always add up to 360°.

 

Self-Check 1

 

Use your answers from Try This 1 to work through “Classifying Quadrilaterals Interactive.” As you complete this activity, make any changes necessary to your table from Try This 1.

 

 

This play button opens Classifying Quadrilaterals Interactive.

In the next Try This, you will explore the properties of different quadrilaterals using the measurements of the sides, angles, and diagonals.

 

Try This 2


glossary

Use your textbook to explore the measurements of specific quadrilaterals. You will look at the quadrilaterals shown in “Discuss the Ideas” on pages 192 to 194 of the textbook. Use a ruler and protractor to complete this table. The first quadrilateral has been completed for you.

 

Type of Quadrilateral Measures of Corner Angles Angles That Are Equal Sides That Are the Same Length Sides That Are Parallel Are the lengths of diagonals the same? Do the diagonals intersect at 90°?

Square

(question 1 on page 192)

∠A = 90°
∠B = 90°

∠C = 90°

∠D = 90°

 ∠A = ∠B = ∠C = ∠D AB = BC = CD = AD

AB is parallel to CD;

BC is parallel to AD		 yes yes

Rectangle

(question 3 on page 192)

∠A =
∠E =
∠C =

∠D =		          

Right Trapezoid

(question 4 on page 193)

∠A =
∠B =
∠C =

∠D =		          

Isosceles Trapezoid

(question 4 on page 193)

∠E =
∠F =
∠G =

∠H =		          

Parallelogram

(question 1 on page 194)

∠A =
∠B =
∠C =

∠D =		          

Rhombus

(question 1 on page 194)

∠W =
∠X =
∠Y =

∠Z =		          

Kite

(question 1 on page 194)

∠P =
∠Q =
∠R =

∠S =		          

course folder Save your responses in your course folder.