Objective: To assess the previous objectives
GA QCC: # 10, 16, 24, 26
Lesson: Assessment
Name: ___________________________
1. Using Geometer's Sketchpad (GSP), print out each exercise and label your figures by hand:
a. GSP Sketch #1: Construct 2 different triangles that are categorized by angles. "Measure" the angle that gives the triangle its classification.
b. GSP Sketch #2: Construct 2 different triangles that are categorized by sides. "Measure" the angles that give the triangle its classification.
2. Triangle congruence: Click HERE to answer the following questions. What triangle congruence postulates/theorems would you use to prove the triangles are congruent, if it is possible? (You may abbreviate.)
2a. ____________________ 2b. _________________________
2c. ____________________ 2d. _________________________
2e. ____________________ 2f. _________________________
2g. ____________________ 2h._________________________
3. State the Pythagorean Theorem in your own words:
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4. If there is a flower bed shaped as a right triangle in which the two legs measure 32 feet and 46 feet, what should the hypotenuse measure? Use the GSP calculator. (Do not try to work the problem in one step, and "sqrt" stands for square root on the function key.)
Answer: ______________________________
5. What is a Pythagorean triple? ___________________________________
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6. If given a right triangle where angle A is an acute angle, describe the trigonometric ratios using adjacent, opposite, and hypotenuse for
sin A = _______________________________
cos A = _______________________________
tan A = _______________________________
7. Using the GSP calculator and given a right triangle where the hypotenuse is 7 and the opposite leg is 5,
a. What is the length of the adjacent leg? ____________________
b. What ratio (quantity to 2 decimal places) is tan A? ____________
c. What ratio (quantity to 2 decimal places) is sin A? ____________
d. Using the cosine definition, and the above data in this problem, solve for angle A (without measurement) by using GSP calculator and showing your work in the space below:
Answer: ________________________