Solution of triangles Questions and Answers

If the measure of an exterior angle of a regular polygon is 24 how many sides does the polygon have O A 15 OB 8 O C 10 OD 12

What is the exterior angle sum of every polygon

The measure of one interior angle in a regular polygon is 135 How many sides does the polygon have O A 10 OB 9 O C 8 O D 7

Find the value of x in the regular octagon O A 10 OB 12 O c 45 OD 135 4x 3

C H 3 7 cm 4m Support Questions continued 48 G 8 23 d X E 18 cm F How to find the missing angle of a right triangle using the Cosine ratio 23 K 13 4 cm M

QS TU Find the perimeter of AQRS Round to two decimal places if necessary Q 20 13 S 9 U T 10 R

x The quadrilateral shown is a rectangle What is the measu x 2 A 10

x Determine the MOST SPECIFIC name for the figure in the diagram x A B quadrilateral parallelogram rhombus 1 Plotted Figure 9 8 7 6 5 3 1 2 A 4 T 5

4x A m23 32 Given that the quadrilateral shown is a rhombus which statements are correct X B C D LL m22 58 m26 58 m21 32 3 m 7 32 32 N 8 7 9 5

7 Find the measure of arc AC 1 point A B 62 Q 3 C

Select all true statements K KL LN Show your work here 18 ML LO 6 KL LO The triangles are not congruent L 6 16 The triangles are congruent by the ASA criterion N LLKM LNO because vertical angles are congruent O The triangles are congruent by the SAS criterion KLMNLO because vertical angles are congruent

Based on the given diagram prove AABD ACBD by filling out the flowchart below A Type of Statement B For each box choose a statement format from the dropdown menu You will then be able to change the letters to match the diagram for this problem Reason D Type of Statement Reason Type of Statement Type of Statement Reason

In a triangle the three sides BC a 8 AC b 6 and AB c 7 What is angle C in degrees

Which of the follow A 3x 3y 4x B 2x2 2y2 3x x y 4x

Technology required Find the perimeter of the figure

Find the value of x and y in the rhombus X rhombus 3y 4x 3 15 5x

What is the location of point G which partitions the directed line segment from F to D into an 8 5 ratio D F 5 2 4 3 4 3 2 0 1 2 3 4 5 6 7 8 9 10

3 points State the postulate or theorem you would possible 40 SSS ASA SAS HL not possible AAS

9 State the postulate or theorem you would use to prove each pair of triangles congruent If the triangles cannot be proved congruent pick non 6 M A 7 8 N X A K

In the figure below AACB ARQP In each blank type a number only A X52 C B P Complete each statement m C type your answer m B type your answer m P type your answer m R type your answer m Q type your answer Q R degrees degrees degrees degrees degrees

Name the corresponding parts GHJK QRST H R Hint You don t need the picture The congruence statement tells al

7 6 5 4 3 2 1 A U B 4 5 6 7 X 1 2 3 What is the area of triangle ABC 15 square units 3 square units 7 square units 11 square units

Quadrilateral ABCD is a square What is BD C B BD 22 A E D

Is parallelogram CDEF a rhombus C FL yes B no E D

write the trigonometric equation for the fuction with a period of 5 a low point of 3 at x 1 and a amplitude of 7

Select all true statements H F 19 15 Show your work here G 15 19 I The triangles are congruent by the SSA criterion J LGFH ZGIJ because vertical angles are congruent

congruent to AMON N Show your work here ZMON LOMP 70 70 The triangles are congruent by the SAS criterion ZOMN ZPOM M The triangles are not congruent The triangles are congruent by the AAS criterion P

The circumcentre of triangle DEF is O and DM is perpendicular to EF DE 5cm DF 3 5cm DM 2cm What is the radius of the nine point circle of the triangle

3 16 Solving Trigonometric Equations by Using Identities Solve the given equation 3 2 cos 0 sin 0 1 4 sin 0 4 2 cos 0

Which of the following sound devices is most prevalent in the following lines from I Wandered Lonel as a Cloud Beside the lake beneath the trees Fluttering and dancing in the breeze O A onomatopoeia B alliteration C off rhyme OD internal rhyme

What is the value of z 4 OA 4 2 OB 8 2 OC 2 3 OD 2 2 45 45 Z

2 10 In which quadrant is the angle A QI B QII C OIII

8 Determine the exact value of cos 2 A 0 B 1 C 1 D Undefined

14 If an angle in the second quadrant has sin0 determine cose A 2 B C DX NINNIS 3 D 300 60 45 30 4 4 43

VOIU ne Find the volume of the prism 4 cm 12 cm

5 Triangle ABC is an equilateral triangle with sides of length 10 inches What is the length of the altitude AD OA 5 OB 5 2 OC 5 3 OD 10 3 3

State whether the figure has rotational symmetry If so what is the angle of rotation Round your answer to the nearest tenth of a degree if necessary OA yes 45 OB yes 11 3 OC yes 22 5 OD false

If there is an isometry that maps the figure onto itself that the figure has OA congruence OB an identity C symmetry D reflexive properties

ections Given the side lengths determine wheth 1 15 16 21 Not a A Acute Right Obtuse

From the edge of a 1000 foot cliff the angles of depression to two cars in the valley below are 21 and 28 How far apart are the cars Round your answers to the nearest 0 1 ft A 724 5 ft B 724 4 ft C 714 4 ft D 713 4 ft

Find the length of side x to the nearest tenth X V12

Which of the following could NOT be the lengths of the sides of a right triangle OA 9 ft 12 ft 15 ft OB OC OD 5 in 10 in 15 in 4 cm 7 5 cm 8 5 cm 1 5 m 2 m 2 5 m

Classify the triangle with the side lengths 12 m 16 m 20 m OA Not a Triangle OB Right OC Acute OD Obtuse

E Find the value of x and y rounded to the nearest tenth 459 34 OA x 48 1 y 46 4 OB x 24 0 y 139 3 OC x 48 1 y 139 3 OD x 24 0 y 46 4

In the diagram below of AACT BET CB 3 C4 10 am CE 6 what is the length of CT A 26 B OC 20 14

Match the regular polygons with the measure of 1 of there exterior angles 15 gon 20 gon 30 gon Possible answers 20 degrees 10 degrees No Answers Chosen No Answers Chosen No Answers Chosen 17 degrees 12 degrees 24 degrees 18 degrees 1 I I I 18 gon 25 gon I 16 degrees No Answers Chosen No Answers Chosen 2 degrees 14 4 degrees

Two interior angles of a triangle are 55 and 80 Select the three angles that would represent the exterior angles of this triangle 80 105 135 55 125 100 115 95

Complete the sentence 24 and Y are corresponding angles 25 26 27 28 CT 5 8 6 3 4 2

ve triangle ABC If an answer does not exist enter DNE Round your answers to one decimal place Below enter your answers so that A is smaller than A b 125 162 LB 46 A F1 C O O ZA C O O

For ABC a 18 b 3 and c 20 Find mA to the nearest tenth