Geometry B Final Review Game

#1 P is the centroid of ΔXYZ. If XU = 21, what is XP?

#2 In triangle ABC, CP=21, EP = 15, and BF = 24. Find the measure of PA.

#3 Name a median, an altitude, an angle bisector, and a perpendicular bisector.

#4 List the angles in order from greatest to least.

#5 Can a triangle be formed with the following side lengths? Why or why not? 5, 7, 12

#6 Find the sum of the measures of the interior angles of a convex 15-gon.

#7 Find the sum of the measures of the exterior angles of a convex 15-gon.

#8 Find 𝑚∠𝑅𝑈𝑇.

#9 For parallelogram ABCD, find 𝑚∠1.

#10 Is the following shape a parallelogram? How do you know?

#11 Quadrilateral RSTU is a rectangle. If UZ = x + 2 and ZS = 3x – 1, find US.

#12 PRYZ is a rhombus. If RK = 3, and RY = 5, and 𝑚∠𝑌𝑅𝑍=60°, find 𝑚∠𝑌𝐾𝑍.

#13 PRYZ is a rhombus. If RK = 3, and RY = 5, and 𝑚∠𝑌𝑅𝑍=60°, find 𝑃𝐾.

#14 Given each set of vertices, determine whether parallelogram ABCD is a rhombus, a rectangle, or a square. List all that apply. A(–5, 2), B(–1, 2), C(–5, 5), D(–1, 5)

#15 For trapezoid JKLM, A and B are midpoints of the legs. Find AB.

#16 CDEF is a trapezoid. If 𝑚∠𝐹=130° and 𝑚∠𝐸=115°, find 𝑚∠𝐷.

#17 Quadrilateral VRPO is a kite. If VN = 45 and RN = 38, what is VO?

#18 Solve the proportion: 3 4 = 𝑥 16

#19 A model of a lighthouse has diameter 8 inches and height 18 inches. If the actual diameter of the lighthouse is 35 feet, find its actual height.

#20 ​Are the two triangles similar? Explain.

#21 Are the quadrilaterals similar? If so, write a similarity statement and a scale factor.

#22 If 𝐴𝐵𝐶𝐷~𝐸𝐹𝐺𝐻, find the value of 𝑥.

#23 Are the triangles similar? If so, by what theorem?

#24 Find 𝑄𝑇.

#25 In the figure, SQ = 7, RQ = 14, and ST = 4. Find RT.

#26 Find 𝐵𝐷.

#27 The hypotenuse of a right triangle is 27 and one of the legs is 10. Find the missing leg length.

#28 Find x and y.

#29 Dante is standing at horizontal ground level with the base of the Empire State Building in New York City. The angle formed by the ground and the line segment from his position to the top of the building is 46°. The height of the Empire State Building is 1472 feet. Find his distance from the Empire State Building to the nearest foot.

#30 Find sin 𝐿 , cos 𝐿 , 𝑎𝑛𝑑 tan 𝐿 if 𝑙=3, 𝑚= 4, 𝑎𝑛𝑑 𝑛=5.

#31 Find 𝑚∠𝐵 to the nearest tenth of a degree.

#32 Find the component form of 𝐴𝐵 if the initial point is 𝐴(1, 4) and the terminal point is 𝐵(6, 7).

#33 Find the magnitude and direction of the vector 7, 12 .

#34 What vector best describes a translation of a point (3,3) to the image (6,-1)?

#35 Find the reflection of the point A(7, –2) in the x-axis.

#36 The point 𝐼(−5, −2) is rotated 90° counter-clockwise around the origin. What are the coordinates of 𝐼 ′ ?

#37 How many lines of symmetry are in the figure below?