Geometry Worksheet printable pdf download

GEOMETRY

“Right Triangles, Trigonometry & Other Key Elements”

UNIT PROJECT

OBJECTIVE: Identify perfect squares, formulas involving quadratic equations including the quadratic formula

and the Pythagorean Theorem, and apply right triangle theory and trigonometry to real situations.

This project is broken up into four modules that will need to be completed in and out of class. Two of the four

modules will require you to use other students to help in your measurements while the other two modules will

require just you! Through these four modules, you will experience the skills needed to be successful with using

right triangle theory and trigonometry. The project due date shall be the day before the unit exam (unless weather

hampers our class time outside)!

MODULE ONE-Perfect Squares, Pythagorean Theorem, and the Quadratic Formula (10 Points)

You are to memorize the first twenty perfect squares so you can recite them without notes or any help in 30 seconds

or less. You will then need to recite the Pythagorean Theorem given a right triangle with legs of a and b and a

hypotenuse of c. The quadratic formula will then need to be recited given ax

+ bx + c = 0. Students may be asked

at any time to perform their skills mastered.

SCORING

8 points-recitation of the first 20 perfect squares with no errors in time

1 point-recitation of the Pythagorean Theorem

1 point-recitation of the Quadratic Formula

MODULE TWO-Proving the Geometric Mean and the Pythagorean Theorem (15 Points)

Person A and Person B are standing on a flat surface near a flagpole with Base C. The top of the flagpole is given

by Point D. The flagpole is perpendicular with the ground. Person A and Person B are standing such that the

intersection of their angles of elevation to the top of the flagpole (Point D) is a combined right angle. You are given

the following measurements in feet:

�� (distance Person A is from the base of the flagpole (Point C): __________

(record the number I give you)

�� (distance Person B is from the base of the flagpole (Point C): __________

(record the number I give you)

Draw and label a picture showing the given situation below.

Use the geometric mean to calculate the following distances in simplest radical form! (SHOW YOUR WORK!)

�� (height of the flagpole)

�� (distance from Person A to the top)

�� (distance from Person B to the top)

Geometry Worksheet