University:
Felician University
Course:
MATH-231 | Geometry I
Academic year:

2020
Views:

65

Pages:

8
Author:

CometConductor

Geometry Honors - Review Key Write an equation in point-slope form for the perpendicular bisector of the segment with the given endpoints: 1) A(2, 3), V(6, 1 9) m = (9-3)/(6-2) = 6/4 = 3/2 ⊥ Slope = -2/3 Midpoint = (4, 6) y - 6 = -2/3(x - 4) 2) B(-2, 6), K(4, 3) m = (3-6)/(4--2) = -3/6 = -1/2 ⊥ Slope = 2 Midpoint = (1, 4.5) y - 4.5 = 2(x - 1) Find the centroid of the triangle with the given vertices: 3) A(1, 2), B(6, 9), C(11, 1) ((1+6+11)/3, (2+9+1)/3) (6, 4) 4) O(-5, -8), E(0, 8), F(8, 3) ((-5+0+8)/3, (-8+8+3)/3) (1, 1) 5. If MX = 18, ZW = 5 and KW = 8, find: MW: 12 WX: 5 WL: 10 ZL: 15 WY: 4 KY: 12 6. SQ is a midsegment of ΔNOP. What is the length of OP? triangle NOP with midsegment SQ 2(2x+1) = 3x+6 4x+1 = 3x+6 x = 5 OP = 3(5) + 6 = 21 7. Given: D is a midpoint of segment AC. E is a midpoint of segment AB. F is a midpoint of segment BC. Angle 2 measures 65 degrees. Angle 5 measures 75 degrees. Segment BF measures 8 units. Segment AC measures 20 units. Segment FD measures 6 units. Find the following measures: Angles: 1: 75° 2: 65° 3: 40° 4: 75° 5: 75° 6: 65° 7: 40° 8: 40° Segments: AB: 16 BE: 8 BF: 8 FE: 10 DE: 8 DF: 6 FC: 8 8. Find AB. 10x - 4 = 3x + 10 7x = 14 x = 2 AB = 10(2) - 4 = 16 9. Find m∠DEY. 4x + 10 = 7x - 5 3x = 15 x = 5 m∠DEY = 4(5) + 10 = 30° 5-2 to 5-3 Select Book Work Geometry PART I Name: Key Date: CIRCUMCENTER SN, TN, and VN are the perpendicular bisectors of ∆PQR. Find each length. triangle PQR with perpendicular bisectors SN, TN, and VN 3. NR: 5.64 4. RV: 5.64 5. TR: 3.94 6. QN: 5.64 INCENTER CF and EF are angle bisectors of ∆CDE. Find each measure. triangle CDE with angle bisectors CF and EF 9. the distance from F to CD: 42.1 10. m∠FED: 46° CIRCUMCENTER DY, EY, and FY are the perpendicular bisectors of ∆ABC. Find each length. triangle ABC with perpendicular bisectors DY, EY, and FY 12. CF: 59.7 13. YC: 63.9 14. DB: 62.8 15. AY: 63.9 5-2 to 5-3 Select Book Work Geometry PART I Name: Date: Multi-Step: 16. M(-5, 0), N(0, 14), O(0, 0) RIGHT ΔS (-2.5, 7) 17. O(0, 0), V(0, 19), W(-3, 0) (-1.5, 9.5) TF and SF are angle bisectors of ΔRST. Find each measure. triangle RST with angle bisectors TF and SF 18. the distance from F to RS: 8.37 19. m∠RTF: 28° A music company has stores at A(0, 0), B(8, 0), and C(4, 3), where each unit of the coordinate plane represents one mile. a. A new store will be built so that it is equidistant from the three existing stores. Find the coordinates of the new store's location. b. Where will the new store be located in relation 1 to ΔABC? c. To the nearest tenth of a mile, how far will the new store be from each of the existing stores? triangle ABC with a point representing the new store (4, 1.5)