Exercise 3: Let ABC be any triangle. Let CD be the bisectrix of the angle at C. Show that AC ВС CD BD

Q: 6. If ZDEF is a straight angle, mZDEG = (23x-3), and MZGEF = (12x + 8)", find each measure. %3D %3D…

A: Since you have asked multiple question, As per our policy we will solve the first question for you.…

Q: Assume that ||v|| = 2, ||w|| = 3, and the angle between v and w is120◦. Determine: v · w

A: Given,||v||=2,||w||=3,and angle between v and w is 1200. To find:v.w Solution: We know, dot product…

Q: Consider ACAT (not shown). Which angle is included by sides AT and CT? a) OZA b) O2C c) O ZT

A:

Q: Exercise #1: Given the two right triangles shown below, why do we know that AABC is similar to ADEF…

A: Two triangles are similar if any two corresponding angles are similar. Here, two triangles ∆ABC and…

Q: Exercise 5. Let AABC be a triangle, let D be the point on the (extended) line AB such that DC 1 AB,…

A:

Q: 24. Use the diagram to write the vertical angles theorem. Given: AC intersects BD at E. Prove: ZAED…

A:

Q: The angle formed between A = 5a, +10ag+ 10az and surface z 5 is 10 15.1 74.97 48.189

A: There are two types of quantities which describe the magnitude and direction of an object and are…

Q: Let ABCD be an isosceles trapezoid having parallel bases AB and CD with AB > CD.Line segments from a…

A: Consider the following figure.

Q: riangle ABC is shown with exterior angle ZBCD. (12x-2)" 4x* (9x+10)*

A: The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to…

Q: iven

A: Given △ABC Let X be any point in the plane so that AX, BX, CX are cevians of △ABC given to prove…

Q: Consider the three points: А — (5, 5) A B= (10, 2) C = (7,7). Determine the angle between AB and AC.…

A: Find angle

Q: Use a paragraph, flow chart, or two-column proof to prove the angle congruency. Given: ∠CXY ≅ ∠BXY…

A: Consider the given figure:

Q: Prove that triangle ADC is congruent to triangle BDC by constructing a two-column proof. A B Given:…

A:

Q: If a ray QT bisects ZRQS , what would be the measure of one of the resulting angles? R. (x + 1) (3x…

A:

Q: 65° %23 50 1500 9) In triangle MAR ,what is the other remote interior angle of MRL aside from L AMR?…

A:

Q: Using the following figure, select the parts of a triangle that are congruent to their corresponding…

A: We know that when two triangles are congruent then corresponding part of congruent triangle are…

Q: Name the method (AA, SSS~, or SAS~) that is used to show that the triangles are similar. R TR TS RS…

A:

Q: In the figure, triangle ABC has a right angle at B and ZA = 55°. If CD is the bisector of 2ACB, find…

A: topic - angles and triangles

Q: Consider the triangle with vertices at R(- a, 0), S(a, 0), and T(0, b). Explain why ARST is an…

A: Given:

Q: S and E are the midpoints of BA and AM, respectively. Use the properties of midsegments to find the…

A:

Q: P is a point on BC of the triangle ABC such that AB = AC = BP. If PA = PC, find the measure of angle…

A: The triangle ABC is shown below.

Q: P 1 C 2 3. R

A: 00

Q: In AABC pictured, AD is the angle bisector of LA. If BD = 5, CD = 6 and AB = 8, find AC. B. %3D %3D…

A:

Q: Prove that: If AD is the angle bisector of A (in triangle ABC), and if u = BD and v = CD, then ас U…

A: Given: AD is the angle bisector of angle A in triangle ABC.u=BD and v=CD To Find:  To prove that…

Q: In Exercises 17 and 18, for the triangle with the given vertices A, B , C, find the lengths of its…

A: for the triangle with the given vertices A, B, C, We need to find the lengths of its sides and…

Q: Triangle ABC is congruent to triangle XYZ. Which angle correspornds lo an C.Z D. None of the above…

A: Question - 5 Given: Triangle ABC is congruent to triangle XYZ.

Q: The coordinates at the vertices A,B, and C of the triangle ABC are (-3,7), (2,19), and (10,7)…

A:

Q: Label a point D outside AABC so that AD WY and ZDAB ZYWX. Since WX AB, AWXY AABD by Now, let E be…

A:

Q: Given the isosceles triangle ABC with AB=AC=x and BC=2y.   show that if A s the area of the…

A:

Q: Use a triangle similarity theorem to show that the triangles Are similar. 3.5 B 8 A E

A: From triangle CBD, CB=4 and CD=3.5 From triangle CAE, CA=4+8=12 and CE=3.5+7=10.5 CB/CA=4/12=1/3…

Q: are the mid-points of BC and AC In Figure 2, ABC is a triangle. M and N respectively. D is a point…

A:

Q: In kite JKLM, LJMN=25° and LKN Part A: Name an angle that is congruent to JMN A. LMN JKN LKM Part B:…

A: Given  JM=LM  , JK=LK

Q: Show that the triangle with vertices A(0, 0), B(1, √3), and C(2, 0) is equilateral.

A:

Q: If the edges of a rectangular parallelopiped are a, b, c show that the angles between the four…

A:

Q: Find the measure (in degrees, not equal to the given measure) of the least positive angle that IS…

A:

Q: Consider AABC and ADEF, both of which lie in the xy- coordinate plane. The pre-image, AABC, is…

A: Congruent triangles are defined when 2 triangles have equal corresponding sides and equal…

Q: Find the interior angles of traingle ABC Al B(1,0,1) P c(2,1y-1). A

A: Given: A(1,2,1), B(1,0,1) & C(2,1,-1)

Q: Prove that if a point is contained in two angles of a triangle, then it is contained in the interior…

A: In a triangle, any two angles are adjacent (i.e, sharing a common hand)

Q: Determine the measure of the interior angle at vertex A. 6x 6x 6x 3x 3x O A. 37.5° В. 22.5° C. 67.5°…

A: Now the sum of all the interior angles is, n-2·180°=5-2·180°     ∵n=number of sides=5=540°

Q: EXERCISE 1. Calculate a x b when a = 2, b = 4 and the angle between a and b is 0 = 45°

A: We will solve this by definition of cross product of two vectors

Q: The midpoint of AB = (1?), 1)

A: Find the midpoint of AB.

Q: Find the measure of each angle in the isosceles trapezoid. 82이 R mZQ= mZT= mZR=

A:

Q: Given: LBAC LBCA, M and N are midpoints of AB and CB, respectively Show: LAMC LCNA M.

A: Given  ∠BAC≅∠BCA M and N are midpoints of AB and CB , this implies  AM=MBCN=NB To show: ∠AMC≅ ∠CNA…

Q: Which angle is complementary to <AFB? Which angle is complementary to ZAFB? D

A:

Q: A B U. D T

A:

Q: Consider the triangle ABD formed with the points A(1,-4), B(-4,1) and D(-3,-5). determine its…

A:

Q: Use a paragraph flow chart or two column proof to prove the angle congruency. Given CXY BXY CAX BAX…

A:

Q: Use the information below to find the measure of angle BAO: * 10 po AO and DO are the angle…

A:

Q: In the roof truss shown, determine the lengths of AB and BC and find the angles between the members…

A:

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.