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Geometry Semester 1 Exam Review NMV NAME: _________________________________________ 1-3. Find the exact slope, midpoint, and distance of the segment joining the points (8,0) and (8 , 7) . Slope_____________ Midpoint___________ Distance between two points________________ 4. T is the midpoint of QR. Find x If QR = 14x + 12 and QT = 10x -2, 5. Given the diagram, find the value of y: (x + 10)o yo (2x-12) C 6. In ABC , if m ABF 28 and BF is an angle bisector, find m BCE . F A 1 G o t o t h e n ex t p a ge E B Geometry Semester 1 Exam Review 7A. R and Q are complementary. If m R 7 x 13 and m Q 2 x 57 . Find the value of x. 7B. Find x if R and Q are supplementary. 8. A commercial artist is designing a logo for a sailboat company. If AB || CD and AC || BD, what is the measure of 1? 32 A B 1 C 9. In a given diagram, 5 is congruent to 6. If that is true, what does 5 - 6 equal? 10. ABC has angle measurements of 75 degrees, 25 degrees, and 80 degrees. Classify ABC according to its angles and sides. 2 G o t o t h e n ex t p a ge D Geometry Semester 1 Exam Review 11. RED has sides of 7, 11, and 20. Classify RED as right, acute, obtuse, or not possible. 12. RED has sides of 11, 12, and 20. Classify RED as right, acute, or obtuse. Show all work and justify your answers. C 13. Identify a median and an altitude of ABC G F A D H E Figure for problem 13. 14. A triangle has the lengths of 20 feet and 23 feet. What are the possible lengths of the third side? 3 G o t o t h e n ex t p a ge B Geometry Semester 1 Exam Review 15. Given the right BLU , find the missing side as an exact length if one leg is 11 and the hypotenuse is 17. Put your answer in simplest radical form. 16. Using special triangle theorems, not a calculator, find the length of an altitude of an equilateral triangle with sides of 25. Draw a picture. 17. The shorter leg of a 30, 60, 90 triangle has a measure of 7.6 feet. Find the perimeter of the triangle to the 1000th place. Draw the picture. 18. In the diagram, what is the measure of A to the nearest tenth of a degree. C 7 B 4 11 G o t o t h e n ex t p a ge A Geometry Semester 1 Exam Review 19. A slide 6.21 meters long makes an angle of 31.5 with the ground. Approximately how high is the top of the slide above the ground? 20. Given the quadrilateral to the right: Find the value of x. (3x – 21) 110 (x – 10) (5x + 2) 21. Know the names of every polygon from a triangle to a 10 sided polygon. 3 - ____________________ 4 - ____________________ 5 - ____________________ 6 - ____________________ 7 - ____________________ 8 - ____________________ 9 - ____________________ 10 - ____________________ 22. What is the measure of each interior angle of a regular pentagon? Hexagon? Decagon? 5 G o t o t h e n ex t p a ge Geometry Semester 1 Exam Review 23.. NPQR is a trapezoid. Find the value of x. P 2x + 10 N 17 S R 2x – 12 T Q 24. You are going to have a proof using parallel lines and pairs of congruent and supplementary angles. Go back to that packet and practice your proofs. 25. Two boats left the Port of Cleveland at the same time. One boat traveled due north at 7mph and the other boat traveled due west at 9mph. How many miles apart, to the nearest 1000th are the boats after 6 hours? Show the calculations that lead to your answer. (2 points) 6 G o t o t h e n ex t p a ge