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MTH 232 Quick Review Sections 10.1-10.4 USE WITH PRACTICE TEST PROBLEMS ON WEBPAGE!!! 8) Use the following figure to verify if statement is true or false. 6 9 9 Give the appropriate answer. 9) What is the name for the point where the three angle bisectors of a triangle are concurrent? 10) What is the name for the point where the three perpendicular bisectors of a triangle are concurrent? 1) AK and EK are perpendicular to the plane BEF. 2) AD and GF are skew lines. 11) Can a triangle be both acute and equilateral? 3) The intersection of KB and plane CGF is point B. Given the floor plan, DRAW A NETWORK THAT REPRESENTS THE FLOOR PLAN, THEN determine whether a person could traverse through each unit by passing through each door only once. 12) Refer to this figure to answer the question. 4) Is point G on HI? A) Yes B) No 5) What are the endpoints on DE ? A) D B) D and E C) E D) None A) Yes 6) What is the vertex of ∠DEI? B) No Identify the specified angles. 13) Identify all pairs of corresponding angles. Classify the triangle as equilateral, isosceles, or scalene. Then classify it as right, obtuse, or acute. 7) 5 4 2 1 14) Identify all pairs of alternate interior angles. Answer the question. 19) What is the measure of the central angle of a regular polygon with 10 sides? 20) How many triangles are formed in a polygon with 11 sides? Answer the question. Figures not drawn to scale. 21) Find the measure of ∠P 50° 140° 15) Identify all pairs of alternate exterior angles. 22) Find the measure of ∠P 50° Use the properties of parallel lines to solve the problem. 16) If m n and m∠6 = 128°, what are the measures of the other angles? 23) A(n) __________ angle is defined as an angle whose vertex is the center of a circle and whose sides are radii. Which property (if any), should be used to show that the pair of triangles is congruent? 24) Solve the problem. 17) If each angle of a regular polygon measures 108°, how many sides does it have? 25) 18) What is the interior angle sum of a regular polygon with 14 sides? 2 26) Solve the problem. 31) Find the measure of the indicated exterior angle. ∠x = (5n - 17)°, ∠y = (n + 9)°, ∠z = (157 - 5n)° Solve the problem. Give the answer to the nearest thousandth if necessary. 27) A boat travels 3 miles south and then 10 miles east. How far is the boat from its starting point? South ↓ 3 mi East --10 mi--> 28) The diagram below shows a rope connecting the top of a pole to the ground. The rope is 26 yd long and touches the ground 19 yd from the pole. How tall is the pole? 26 yd ? 19 yd Find d in simplest radical form. 29) 10 30) 9 2 3 Answer Key Testname: MTH 232 TEST 1 (QUICK REVIEW ‐ 10.1‐10.4) 1) FALSE 2) TRUE 3) TRUE 4) B 5) D 6) E 7) Scalene; obtuse 8) Isosceles; acute 9) incenter 10) False 11) yes 12) A 13) ∠1 and∠5, ∠2 and∠6, ∠4 and∠8, ∠3 and∠7 14) ∠4 and∠6, ∠3 and∠5 15) ∠4 and∠2, ∠5 and∠7, ∠3 and∠1, ∠6 and∠8 16) m∠2 = m∠4 = m∠8 = 128° , m∠1 = m∠3 = m∠5 = m∠7 = 52° 17) 5 sides 18) 2160° 19) 36° 20) 9 21) 95° 22) 25° 23) central 24) ASA 25) AAS 26) None 27) 10.44 mi 28) 17.748 yd 29) 20 30) 18 31) 82° 4