HITS W shift S ctrl X alt Score $170 Geometry Parallels, AA Similarity Jayla Themes 4 25 (0, 2 ) (-5, 0) ( P, 0) (0 , - 4) 10 8 In the figure above, lines ( and m are parallel and allel. If the measure of 21 is lines s and t are parallel. If the In the xy-plane above, line ( is parallel to line k. 350, what is the measure of 42 ? What is the value of p ? A) 350 B) 550 B) In the figure above, AE II CD and segment AD C) 70 intersects segment CE at B. What is the length of D) 145 D) 10 segment CE ? 1 boy desmos 2 / desmos 3 desmos parallel to the line make it S instead OF - 5ng V a G n shin X n ctri O Number First Name Last Name Period Dat $171 Geometry Parallels, AA Similarity, Vertical Angles - n x feel Note: Figure not drawn to scale. In the figure above, lines k, 6, and m intersect at a point. If x + y = u + w, which of the following must In the xy-plane above, ABCD is a square and be true? point E is the center of the square. The coordinates 1. x = Z A summer camp counselor wants to find a length, x, of points C and E are (7, 2) and (1, 0), in feet, across a lake as represented in the sketch respectively. Which of the following is an equation 11. y = w of the line that passes through points B and D ? above. The lengths represented by AB, EB, BD, and III. 2 = 1 CD on the sketch were determined to be 1800 feet, A) y= -3x - 1 A) I and II only 1400 feet, 700 feet, and 800 feet, respectively. Segments AC and DE intersect at B, and LAEB B) I and III only B) y = -3(x - 1) and ZCDB have the same measure. What is the C) II and III only value of x ? D) I, II, and III C) y = - -x +4 1 / desmos D) y = - -x - 1 3 4 desmos 2 4 desmosan n m $172 Trigonometric Ratios SOH-CAH-TOA TRIGONOMETRIC RATIOS In triangle ABC, the measure of L'B is 90". BC = 16, and AC= 20. Triangle DEF is similar to SOH triangle ABC, where vertices D. E. and F CAH Cost =and TOA TEE= Opposes correspond to vertices A, R. and C, respectively, and each side of triangle DEF is - the length of the corresponding side of triangle ABC. What is the Note Figures not drawn to scale. value of sin F ? The angles shown above are acute and 2 / desmos sin (a") = cos(b"). If a = 4k - 22 and b = 64 -13, what is the value of k ? In the triangle above, the sine of x" is 0.6. What is 3 desmos the cosine of yo ? 1 / desmosWV shift n m First Name Last Name Period Number $173 Volumes Cubic Units V = mr2h The volume of right circular cylinder A is 22 cubic centimeters, What is the volume, in cubic 5 ft centimeters, of a right circular cylinder with twice the radius and half the height of cylinder A? 8 yards 10 ft 2 do desmos A dairy farmer uses a storage silo that is in the shape of the right circular cylinder above. If the volume of the silo is 727 cubic yards, what is the diameter of the base of the cylinder, in yards? A grain silo is built from two right circular cones and 3 / desmos a right circular cylinder with internal measurements represented by the figure above. Of the following, which is closest to the volume of the grain silo, in cubic feet? A) 261.8 B) 785.4 C) 916.3 ) 1,047.2 1 4 desmosV h X m Period $174 Triangles 2x Intersecting lines r, s, and t are shown below. shelf shampoo 18 in 106 shelf shelf 230 Jim has a triangular shelf system that attaches to his showerhead. The total height of the system is What is the value of x ? 18 inches, and there are three parallel shelves as shown above. What is the maximum height, in inches, of a shampoo bottle that can stand upright on| (3) desmos Note: Figure not drawn to scale. the middle shelf? Two isosceles triangles are shown above. If 2 bay desmos 180 -z = 2y and y = 75, what is the value of x ? 1 boy desmosK n m shift X all curl O Circumference First Name Last Name Period Number Date Score $175 Circles and Arcs Arc length C =- C = 2xr 180 B 20 Note: Figure not drawn to scale. 1 / desmos 20 0 The circle above with center O has a In the figure above, the circle has center O and has circumference of 72. What is the length of radius 10. If the length of arc AB (shown in bold) is Point P is the center of the circle in the figure above. between 5 and 6, what is one possible integer minor arc AC ? What is the value of x ? value of x ? 2 boy desmos 3 desmosS K shift C V m ctri alt First Name Last Name Period 5177 Triangles Number Date Score 18 200 Triangles ABC and DEF are shown above. Which of the following is equal to the ratio BC ? Note: Figure not drawn to scale. In the figure above, BD is parallel to AE. What is AB DE the length of CE In the figure above, AD intersects BE at C. If DF x = 100, what is the value of y ? DF 1 by desmos 3) DE 3 / desmos DF ") EF D) - 2 4 desmos