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Geometry chapter 10 Team Test Review Name________________________________ 1. For each of the following, identify the type of line or segment. A ______________________ E ______________________ B ______________________ F ______________________ A B C C •C • D E F •C C ______________________ •C •C •C G ______________________ G D ______________________ H • H _____________________ • C C 2. Solve for x. C is the center of the circle. A B x 78 C • A B x C 64 • C B A • C D 134 X and mABC 4 x 42 84 3a. Graph the points (-4, 5) and (7, -2). b. Find the distance between points (-4, 5) and (7, -2). c. Find the midpoint of these two points. 6 8 4+ x 5 x 10 x 4. Find the volume and surface area for the cylinder. 6 12 5. For the diagram at right answer the following: P A. Given that the line containing points P and Q is tangent to the circle what type of triangle is formed by PQC _____________________ x C b. If PQ = 12 cm and the circle has a radius of 5 cm. Then what is the distance for line CQ? _______________________________ 6. Give an example of each of the following angle pairs. (A) corresponding angles ___________ (B) vertical angles ___________ (C) alternate interior angles ___________ (D) supplementary angles ___________ (E) same-side interior angles __________ (F) same-side exterior angles __________ (G) alternate exterior angles ___________ 7. a. If a circle has an area of 16π, what is the radius of the circle? r = ______ b. If the same circle has a center at (-2, -3), what is the equation of the circle? ___________ c. Graph this circle. Q c. Find the distance of just segment XQ. o 1 2 3 4 m 5 6 8 7 n 8. Use circle P below to find the measures. B 36° C 72° P D A a. mBPC C B 40° P A b. mBAC c. mADC 9. In circle P at the left with diameter 12cm, solve for a. measure of arc BC d . measure of arc AC b. measure of arc AB e. length of arc BC c. measure BAC Geometry chapter 10 Team Test Review--KEY 2. For each of the following, identify the type of line or segment. A CHORD B TANGENT A B E INSCRIBED ANGLE F C C •C • D SEGMENT E F •C C RADIUS G •C •C •C CENTRAL ANGLE G D DIAMETER H H • SECANT • C C 2. Solve for x. C is the center of the circle. A B x 78 C • A x C x B 64 • C B A • C D 134 x = 32o and mABC x = 180o x = 67o 4 x 42 6 84 8 x = 117o 4+ x 5 10 x x = -16 3a. Graph the points (-4, 5) and (7, -2). x x = 14.75units 4. Find the volume and surface area for the cylinder. b. Find the distance between points (-4, 5) and (7, -2). d = 13.0 c. Find the midpoint of these two points. (1.5, 1.5) 6 12 • Volume = 339.3 un3 • SA = 282.7 un2 5. For the diagram at right answer the following: P A. Given that the line containing points P and Q is tangent to the circle what type of triangle is formed by PQC Right triangle Q x C• b. If PQ = 12 cm and the circle has a radius of 5 cm. Then what is the distance for line CQ? 13 c. Find the distance of just segment XQ. XQ = 8 units 6. Give an example of each of the following angle pairs. (A) corresponding angles 1 & 5 (B) vertical angles 1 & 4 (C) alternate interior angles 3 & 6 (D) supplementary angles 1 & 2 (E) same-side interior angles 3 & 5 (F) same-side exterior angles _1 & 8 (G) alternate exterior angles 1 & 7 o 1 2 3 4 m 5 6 8 7 n 7. a. If a circle has an area of 16π, 8. Use circle P below to find the measures. what is the radius of the circle? r = 4 b. If the same circle has a center at (-2, -3), 36° C what is the equation of the circle? 42=(x+2)2+(y+3) B c. Graph this circle. 72° P D A a. mBPC 36o C B 18o c. mADC inscribed 54o inscribed 9. In circle P at the left with diameter 12cm, solve for 40 o 40° a. measure of arc BC P b. measure of arc AB 160o c. measure BAC A central b. mBAC 20o d . measure of arc AC e. length of arc BC 160o 40 12 4.2units 360