In the figure below, LIV is tangent to circle O. Which of the following can be concluded from the information? O) A ON is a radius of the circle. ) . AMNO is a right triangle. O) . ZONM is an obtuse angle. O) . ZOMN is a central angle of circle O.In the figure below, circle 0 has a central angle cl 120\". 124]\" 1ll'lllhat is the area oi the shaded sector of circle 0 in terms of r, the radius\"? Leave your answer in terms of pi. A circle is shown below. W 50\" Diameter is parallel to chord TVX and 171W} = 50:. What is \"ME\"? 0 u 130 If a flagpole casts a 13 ft shadow on the ground when the sun is at a 68 angle of elevation, which of the following expressions can be used to determine the height (h) of the flagpole? (Assume the flagpole is at a right angle to the ground.) A COS 68= h 13 * cot 68"= h 13 O & sin 68 = 13 O . tan 68"= 13Jennifer needs to use a ladder to clean a second floor window on a building. If the window is 13 ft above the ground and the base of the ladder is 4 ft from the building, which equation below can be used to determine the length (x) of the ladder needed to reach the Window? 0 . 42L3?:13 O E 4212=113 O _ 133741 O a 1324 Use the figure to answer the following question. E If ACIIDE, which of the following justifies AABC ~ ADBE? ) A Definition of Similar Triangles * SAS Similarity Theorem O) . SSS Similarity Theorem O D AA Similarity PostulateLook at the diagram below that shows ACAB ~ ACED A 240 770 Which statement is TRUE? & m/D = 78' and mZE = 78' O . myDCE = 24' and m/E = 17 O m/D = 79' and m.ZE =77 ( a m/D = 77' and m/E = 79'Leroi is using coordinate geometry to prove this theorem. Theorem: The diagonals of a parallelogram bisect one another. Ala, b) Blatc, b) D(O, O) ((c, 0) Given: AD || BC; AB || CD; AC and BD intersect at M. Prove: M bisects AC and BD. Which of these is the BEST strategy for this proof? ) Use the Midpoint Formula to find the coordinates of M, then use the Distance Formula to verify that AC = BD. * Use the equations of AC and BD to find the coordinates of M, then use the Distance Formula to verify that AC = BD. () . Use the equations of AC and BD to find the coordinates of M, then use the Midpoint Formula to verify that M is the midpoint of both AC and BD. ) Use the Distance Formula to find the coordinates of M, then use the Midpoint Formula to verify that M is the midpoint of both AC and BID.Jean is trying to prove parallelogram LMNVO is a rhombus by using coordinate geometry. L (a, c) M (a+b, c) N (b, 0) Which statement must be true to prove LMNO is a rhombus? O & (slope of MOM(slope of LN ) = -1 O . (slope of MOM(slope of LN) = 1 O) . the midpoint of MO is the midpoint of LN () a the distance from M to O = the distance from _ to NThe carnival spinner shown below is divided into equal sections. On every spin, each outcome is equally likely. 1 ONE 2 0'3 0c} Kyle asked a random group of students what their favorite sport was. The results are below. Boys Girls Basketball 10 8 Football 25 ? Soccer 9 19 Baseball 18 22 If Kyle were to randomly select a girl to explain why she likes the sport chosen, what is the probability that he will pick a girl who likes iootball'? O A 12.5% 0 g 3.1% O c 49.3% 0 n 44.6% Examine AABC below. Which of the following equations correctly represent the relationships between the segments? O & AG = 2GD O & GO = = FG . BE = 2BG O . GA = -ADExamine AABC below. Determine which of the following relationships is true. A DE = ZAC : MZBCA = 2(m ZBED) O & DE || AC O . ZA= ZCIn this diagram, ABC has been mapped ontoA'B'C" by a series of rigid motions. A Which statement best describes one way to prove that the triangles are congruent? ()A Rigid motions preserve distance and angle measure. This means that AB ~ A'B , BC _ B'C' , and ZAC ZA , so the triangles are congruent by SAS. O B. Rigid motions preserve distance and angle measure. This means that AB ~ A'BBC ~ B'C' , and ZB ~ ZB' , so the triangles are congruent by SAS. () . Measure the areas of\\ABC and\\.A'B'C' to confirm that their areas are equal. This means that AB ~ A'B'C ~ BC" , and AC ~ A'C" , so the triangles are congruent by SSS. () Measure the perimeters of\\ABC and\\.A'B'C' to confirm that their perimeters are equal. This means that AB _ A'BBC ~ BC" , and AC ~ AC , so the triangles are congruent by SSS.Triangles ABC and DEF are shown below. 8 2 /870 D 6 Which triangle congruence theorem can be used to show that triangle DEF is congruent to triangle ABC? A ASA : SAS ) & SSSWilliam needs to translate LMN by the rule (at, y] > (1' 4, y + 7). Which of the following graphs represents that translation? \fTriangle ABC is reflected over the line y = x to produce triangle A'B'C' (2, 1) A -8 - 6 -4 -2 2 6 c (0, -2) What will be the coordinates of A"? O * (2, -1 ) O & (-2, -1) O & (2, 1) O & (1,2)\fPraveen is asked to prove 23 ~ 214 . Which proof is NOT valid? Statement Reasor 43523 By alternate interior angles theorem By vertical angles theorem O 26 214 By altemate exterior angles theorem 23#214 By transitive property of congruent angle Statement 23210 By alternate interior angles theorem 410 3.211 By vertical angles theorem O B 411 # 214 By alternate exterior angles theorem 23#214 By transitive property of congruent angle Statement Reason 4326 By alternate exterior angles theorem 26=215 By alternate exterior angles theorem O 215 #214 By vertical angles theorem 23#214 By transitive property of congruent angles Statement Hemon Hy vertical angles theorem By alternate interior angles theorem O D 27 214 By altermate interior angles theorem 235214 By transitive property of congruentIn the diagram below, I || m and n || o . 10 5 6 9 /10 13/14 m 11/12 15/16 Praveen is asked to prove 23 ~ Z14 . Which proof is NOT valid? Statement Reason By alternate interior angles theorem 47 26 By vertical angles theorem O A 26 214 By altemate exterior angles theorem 235214 By transitive property of congruent angles Statement Reasor 43210 By alternate interior angles theorem 210 =.211 |By vertical angles theorem O) 411#214 By alternate exterior angles theorem 23#214 By transitive property of congruent angle Statement ReasonGiven PIIQ and T is a transversal, which of the following justifies 23 ~ 26? 2 5 A Corresponding Angles Postulate * Alternate Interior Angles Theorem ) . Consecutive Interior Angles Theorem ) Alternate Exterior Angles TheoremBased on the following figure, determine which value below is correct. (6x +27)0 (12x-9) E O A X=6 X=9 a mZABC = 51' D MZABC = 81"Look at square ABCD below. A 10 -0 -8-7 6-5-4 -3-14 5 6 7 5 +17 What is its perimeter? * 12v/2 units O . 3v2 units () : 18 units )& 12 units