Geometry Questions

Find the measure of minor arc JN L 41 K 47 M N J Write your answer as a whole number or a

Find parametric equations for the line through the point 0 2 3 that is perpendicular to the line x 1 t y 2 t z 4t and intersects this line Use the paramete x e e z t

Find a vector equation and parametric equations for the line Use the parameter t the line through the point 4 6 1 and perpendicular to the plane 2x 4y 4z r t x t y t z t

Find the point at which the line intersects the given plane x 44t y 5t z 1 t x 2y z 8 x y z

18 The diagram shows a vertical tree PQ and two observers at A and B standing on horizontal ground AQ 25 m QAP 37 QBP 42 and AQB 75 a Find the height of the tree h P 48 25M 4278 the distance between the two observers Smks

Provide the missing reasons for the proof Given LC LE Prove AABC ADBE A B W D E

Triangle ABC is similar to triangle FGH Given the following angle measures find the missing angle measures m A 22 degrees m B 75 degrees Enter your answers as numbers only m F degrees A m H degrees A A m G A degrees m C degrees

U W S X T R In the figure triangle UVW is similar to triangle RST VU 48 VW 22 and SR 24 What is the value of x Show all your work

Two polygons are similar if and only if there is a correspondence among their angles and among their sides so that all corresponding angles are congruent and all corresponding are proportional

Which of the following postulates and theorems can be used to prove triangle similarity AA SSS HL ASA

of each sector Round your answers to the nearest tenth 23 1059

length of each arc Round your answers to the nearest tenth 12 240

Find the APPROXIMATE Length of each arc Round your answers to the nearest tenth 11 6 9 yd

Arc Length and Sector Area Find the EXACT area of each sector 14 9 in 300

Find the slope of the line If an answer is undefined enter UNDEFINED y 5x 9

T F 2x 4 5 C 1 E 6 Line Segments about Circles D Find the measure of the line segment indicated

Circles Solve for x 11 19 8 9 X

15 Find DE F 10 9 E x 5 D G 8 T about Circles Find the measure of t line segme

Circles Find the measure of the line segment indicated 13 Find TU 7 W C 5 8x

ve for x Assume that lines which appear tangent are tangent 18 60 48

Circles Solve for x 12 6 5 X 7

17 Find m2SQR 79x 1 0 R 100x S

Find the measure of the arc or angle indicated 5 J K 80 L

Find the measure of the arc or angle indicated 7 32

3 Directions Find the length of each bolded arc Round to the nearest hundredth 1 2 4 If TR 11 ft find the length of PS P 7 5 in 35 S T R 16 6 If YV 28 in find the length of VYX 117 12 W X 15 118 4 cm 52 5 If MK 10 m find the length of MKL M 148 F E 7 If AF 23 cm find the length of EC 57 D 26 m 87

The center of a circle has the coordinates 3 2 Write the equation of the circle if a point on the circle ha the coordinates 1 2 Use the graph below if that helps you visualize the situation 4 2 6 S B 2 4 P 6 2 4 6 2

Find the measurement of arc XY N Y R 73 X 126

Find the central angle ZLBM and inscribed angle ZLGM for the circle if arc ML 44 ZLBM ZLGM G B M L

3 Find the value of a and b D R a 110 75 b C B a b

What is the approximate arc length in a circle with radius of 31 4 inches and arc measure of 82 Round both answers to 1 decimal place 1 31 40 82 7 S re Y 31 4 32 14 3 Approx 180 180

Identify the center and the radius then sketch a graph of the circle Center 3 2 2 190 7 x 3 y 2 4 Radius 4 24

Find the measurement of arc FE 20x F 4x 12 E B G C 4x 12 20X 4X 12 16x 16x 16x 75 X 4x D

logs Expand each logarithm 1 log 7 2 2log 5 5 log 34 2 85 99 3 log 6 5 11 3 10 7 6 logs 2 2 log 5 11 4 log 3 ab 6 log x y z 8 log 4 10 Jog 106 2

Triangle XYZ is a right triangle with ZQ L XY X a Z b Q Drag and drop a correct answer into each box to complete the proof of the Pythagorean theorem By the angle angle similarity postulate AYXZ AYZQ and AYXZ A ZXQ Sirke similar triangles b sides and Solving the equation for a and b gives a cf Adding those together gives of 2 12 a of co Factoring o

Tina plans to make wooden frames to put her two triangular art pieces in How much wood would she need fortriangle DFG Enter your answer in the box in 5 in A B 7 in 6 in C 15 in D 427 F 18 in G

Calculator What is the value of x Enter your answer in the box X 5 cm 32 cm 40 cm 2 4 cm

Which theorem or postulate proves that A ABC and A DEF are similar O SAS Similarity Theorem SSS Similarity Theorem O AA Similarity Postulate 3 B A 7 6 C E 18 D 36 42

Use the figure for Questions 3 and 4 3 What is m42 A 50 B 70 4 What is m24 F 10 G 60 C 110 H 100 D 120 J 120 70 40

Use the diagram below to answer all parts of the q A 32 C B

2 What is the value of x if AABC is equilateral H A 18 6x 3 10x 5C

Consider the following figure ABDC with diagonal BC Sides AB and DC are congruent angle A is congruent to angle D and sides AC and DB are congruent B A C D Select all statements that are true O Triangles ABC and DCB are congruent by the Angle Angle Triangle Congruence Theorem O Triangles ABC and BCD are congruent by the Angle Side Angle Triangle Congruence Theorem Triangles ABC and BCD are congruent by the Side Side Side Triangle Congruence Theorem O Triangles ABC and DCB are congruent by the Side Angle Side Triangle Congruence Theorem O Triangles ABC and DCB are congruent by the Side Side Side Triangle Congruence Theorem

Describe a sequence of transformations that take trapezoid ABCD to TSCU You may use the draw tool to help illustrate your thinking but MUST describe the sequence of transformations in the text box B O Size Undo Clear All A D U C T

Line m is represented by the equation y 1 represent lines perpendicular to line m 0 y 3x 1 3 O y 2 Oy 1 2 3 O y 1 x 5 2 3x 1 0 y 2 2 1 Oy y 3 3 2 x 1 Select all equations that 3

Consider rectangle EFGH H E G F Prove segment EG is congruent to segment HF T II

Greg ties a 5 rope to the top of a 4 pole in his yard and draws a diagram to help determine the angle made between the rope and the ground O sin 5 Rope Which equation can Greg use to find the value of x 3 5 O cos 45 4 5 x 4 pole O tan x 4 O sin r 5 4 O tos x 5

Consider polygon ABCD shown below B c E A G F D Select all the ways that describe rigid transformations that take AEFD to CFEB Reflect AEFD across line EF Rotate AEFD 180 degrees counterclockwise around point G Rotate AEFD 180 degrees clockwise around point G O Translate AEFD by the directed line segment from F to E and then reflect across line FE Translate AEFD by the directed line segment from F to E and then rotate 180 degrees clockw around point E

10 The translation x y x 10 y 6 is applied to AABC to create a new image M B C Graph AA B C on the coordinate plane C 10 9 6 9 11 ARST is reflected across the line y x to form ARST Find the coordinates of the points R S and T

12 Quadrilateral ABCD has vertices A 1 2 B 1 3 C 4 3 and D 4 2 It s dilated by a factor of 2 with the center of dilation at the origin What are the coordinates of the resulting quadrilateral A B C D 13 Determine the measure of x in the figure below 58 80

Given sin 4 in Quadrant 2 find sin 24 10 13 100 169 20 69 169 10 26 89 169

4 Find the missing values for the following right triangle SL X H ZA 24 3 30 24 x 3 63 5 1455 2453 7 853 16 3 853 x F