advertisement

Geometry – Unit 1 Practice Integrating Algebra into Geometric Concepts Name: _____________________________! G.CO.C.9 Date: ___________ Pd: ____ Example Problem: First you must decide which relationship exists between the angles: Are the angles equal? Do they add to 90°? Do they add to 180°? y 3x 5x In this case: 5 x 90 y 3 x 90 5 x y 3 x 180 Answer the question. Write the correct algebraic equation. Solve. We can solve the first equation and find x = 18. Then we can find the y value by substituting into either equation and solving. y = 36 Find all unknown values. Fill in the table to organize the thought process… Question Relationship Equation 1) Answer(s) 54 4x 2) 3x y° 75 3) 3x 2x 4) (x+10) SNRPDP (4x-35) Unit 1: Foundations of Geometry NVACS – Revised 2015-2016 Page 1 of 2 Practice – Unit 1 (cont.) Question Relationship Equation 5) (12x-15) (3x+45) 6) (3x+8) 7) (5x-20) One angle is twice as large as its complement. Find the measure of both angles. Page 2 of 2 Answer(s)