Solution of triangles Questions and Answers
Geometry
Solution of trianglesSelect the correct answers from each drop down menu Triangle XYZ has an altitude as shown Eric and Maggie are both trying to prove the law of sines X Eric s Work h sin X h Y h h and sin Z Z h1 Maggie s Work h and sin X 7 24 ysin X The proof was correctly started by The next step in the proof is to sin Y zsin X and h1 Isin Z h sin Y and h2 0 by the
Geometry
Solution of trianglesWhat type of polygon is shown convex heptagon O concave heptagon O concave hexagon O convex hexagon
Geometry
Solution of trianglesA T 8 B D S X C Prove the following using the two column proof format GIVEN AB CB and AD CD PROVE AABD ACDB Statements 1 AB CB and AD CD Reasons
Geometry
Solution of trianglesof Angle What is the sum of the interior angle measures of a regular decagon What is the measure of each interior angle of a regular decagon Theoren O
Geometry
Solution of trianglesfor each of the following determine if the triangles are congruent if so write the congruent statement give the reason and find x or x and y C A 2Y Y 2X 1 D 5y 3x 1 3y 2x 1 C
Geometry
Solution of trianglesIn triangle ACE G is the centroid and BE 12 Find BG and G C A B F D by OA BG 6 GE 6 OB BG 8 GE 4 OC BG 3 GE 9 OD BG 4 GE 8
Geometry
Solution of triangles27 Find the values of x and y A B 20 of D Drawing not to scale 47 OA OB x QC x OD x C X x 90 y 47 43 y 47 47 y 43 90 y 43
Geometry
Solution of triangles15 Write the tangent ratios for P and C P 21 R 29 20 Not drawn to scale OA OB tan P tan P OC tan P OD tan P 29 21 20 21 21 20 29 20 tan Q tan Q tan Q tan Q 21 29 21 20 20 21 20 29
Geometry
Solution of trianglesThe measure of the arc from B to A not passing thru C is 30 degrees What is the measure of angle BOA What is the measure of angle BDA D there is a Desmos slide in the lesson where you can draw on this same picture as needed What is the measure of angle BCA degrees degrees B degrees A
Geometry
Solution of triangles3 Joe constructed perpendicular bisectors of two sides of a triangle What is his next step if he is constructing a circle circumscribing a triangle O Draw arcs above and below the perpendicular bisector on one side Find the angle bisectors of two angles Mark the intersection of the perpendicular bisectors Draw a line from the midpoint of one side to the opposite angle of the triangle
Geometry
Solution of trianglesRefer to OJ for problems 9 11 Segment KL is tangent to OJ A M L If the radius is 3 and LM 2 what is KL Answer
Geometry
Solution of trianglesAGHI circumscribes OK What is the perimeter of A GHI 5 in G K 2 in 6 in H
Geometry
Solution of triangles3 Use the parallelogram to complete the stateme E G F 20 in 3 The measure of ZF a 40 b 50 D 40 A 10 in c 140 d 150 zoom in 3 O A B Oc D
Geometry
Solution of trianglesFind the value of each variable in the circle to the right The dot represents the center of the circle a Simplify your answer Do not include the degree symbol in your answer
Geometry
Solution of trianglesa right triangle has an area of 20 square centimetes and a hypotenus of 10 cm what are the exact lengths of the legs of the right triangle
Geometry
Solution of trianglesIn triangle ABC shown the side from A to B is 50m long while ZABC 1000 and ZACB 300 Find the measure of angle BAC
Geometry
Solution of triangles1 The volumes of two similar figures are given The surface area of the smaller figure is given Find the surface area of the larger figure Show your work V 27 cm V 125 cm SA 63 in
Geometry
Solution of trianglesCool Down Are Label each example with one of the statements The triangles must be congruent The triangles might not be congruent 1 HJLJE HILIE HJ HI E 1 Triangle EJH and triangle EIH 2 AF AD ZF ZD
Geometry
Solution of trianglesThere are 800 toothpicks in a regular sized box If a jumbo box is made by doubling all the dimensions of the regular sized box how many toothpicks will the jumbo box hold The jumbo box holds toothpicks
Geometry
Solution of triangles12 Ms Senter and her class want to design a Red Wolves Sign for the classroom it will be an isosceles triangle with base angles that are 2 times and 3 additional degrees bigger than the top angle to determine the angles of the triangular sign hint drawing a picture may help
Geometry
Solution of trianglesFind the circumference and area of the circle Use the key for x Circle of radius 8 ft The circumference of the circle is approximately Type an integer or decimal rounded to the nearest t ft 4 d
Geometry
Solution of triangles26 mR 27 Find m40 The figure is not d to scale 27 m2BOC 69 Find the measure of ZBAC The figure is not drawn to scale 69
Geometry
Solution of trianglesFind two angles between 0 and 2 such that sin 0 0 49 Start by drawing a sketch Enter your answers as a comma separated list Note that all solutions should be in radians 0 0 51208 179 48792 help numbers Find two angles between 0 and 2m such that cos 0 0 36 Start by drawing a sketch Enter your answers as a comma separated list Note that all solutions should be in radians 0 1 9390 4 344 help numbers
Geometry
Solution of trianglesQuestion 8 Triangle XYZ is located in the first quadrant of the coordinate plane If this triangle is reflected over the y axis what is true about the vertices of the reflection A B C D The x values are negative and the y values are positive The x values are positive and the y values are negative The x and y values are positive The x and y values are negative
Geometry
Solution of trianglesDate Question 1 Equilateral AJKL has a median of 40 3 centimeters as shown in the figure below A 05 12 B What is the perimeter of AJKL in centimeters D 40 80 C 240 ur 1600 K 40 13 EL S L
Geometry
Solution of trianglesThe diagram shows the graph of a parabola and it s key parts What do you call point B in the diagram C B
Geometry
Solution of trianglesREASONING Is it possible for AJKL and AXYZ to be similar when m J 71 m K 52 m X 71 and m Z 57 Ex your reasoning O No ZK and ZZ are not congruent O Yes corresponding angles are congruent O No all three angles for each triangle are not given OYes the largest angles of each triangle are congruent
Geometry
Solution of trianglesDetermine whether the triangles are similar If they are select the correct similarity statel 40 AV 55 N O similar ALMN AWXY O similar ALMN AYXW Osimilar AMNL AXYW not similar 3
Geometry
Solution of trianglesWhat are the values of the trigonometric ratios for this triangle Drag the answers into the boxes sin 0 cos tan 0 III 0 13 12 5
Geometry
Solution of trianglesThe figures to the right are similar Compare the first figure to the second Give the ratio of the perimeters and the ratio of the areas The ratio of the perimeters is Type an integer or a simplified fraction 18 cm 27 cm
Geometry
Solution of triangles9 Solve for the each length Round to the nearest tenth when needed P 6 a QP S 30 R bQS c QR
Geometry
Solution of trianglesLine segment ON is perpendicular to line segment ML Line segment OM 13 units in length line segment PN 8 units in length M 13 O 8 Q N L What is the length of chord ML O 20 units O24 units 26 units O 30 units
Geometry
Solution of trianglesL 8 8 5 M P The measure of central angle LOP is The length of LP is The length of MP is units units 0
Geometry
Solution of trianglesG Z E U 4 Explain the relationship between point Z and the triangle Justify with the applicable theorem 5 If the length of GU is 18 units what is the length of GZ Show all your calculations and unit measurements 6 If the length of ZT is 4 8 units what is the length of OT Show all your calculations and unit measurements
Geometry
Solution of triangles4 72 M N What is the ratio of the sector area to the area of th entire circle 00 0 2 04
Geometry
Solution of triangles3r D If tan 0 37 2 a sin 20 FORMULA IS BELOW sin 20 2 sin 8 cos 24 37 find the exact value of each of the following a sin 20 on an exact answer using radicals as needed
Geometry
Solution of triangles1 Points A and B are on opposite sides of the Grand Canyon Point C is 200 yards from Point A on the same side of the canyon Angle B measures 87 and angle C measures 67 What are the distances between the points
Geometry
Solution of trianglesTriangle Similarity Find the missing length The triangles in each pair are similar 1 ASTU ALKJ 2 S H 24 D L 3 ATSR ATGH C 45 G 27 5 ARQP ACDE K T Q 56 E ZV 59 42 U P 59 98 110 4 AWVU AWCD 168 A A 8 T 16 140 60 R T U E 15 30 6 AUTS AABC B 41 U T 41 110 20 F 10 D A S V C
Geometry
Solution of trianglesCircle O is inscribed in the given triangle 12 P 4 O R 6 What is the perimeter of the triangle O22 units O 30 units O 44 units O 60 units
Geometry
Solution of trianglesUse the given information and a calculator to find 0 to the nearest tenth of a degree if 0 0 360 cos 0 0 3150 with 0 in QIII sin 0 0 3168 with 0 in QIII sec 0 2 with 8 in QII sin 8 3 2 and 0 in QIV
Geometry
Solution of trianglesGiven Diagram as shown h 24 b 30 c 25 Find a K R r note K area triangle ABC B C h A D b R