2. Suppose that T, U, and V are the points where the incircle of AABC touches the sides BC, AC, and AB, respectively. Show that the cevians AT, BU, and CV are concurrent.

Q: Prove that for any two points A and B, line segment AB = line segment BA

A: To prove that for any two points A and B, line segment AB = line segment BA.

Q: The distance from (6, 8, 11) to the yz-plane is: A. 10 OB. 7 O C. 5 O D. 6

A:

Q: In the accompanying diagram, AB CD and intersects transversal GH at points E and F respectively.…

A: Consider the following figure: AB↔∥CD↔ GH↔ is transversal.

Q: Consider points P, Q, R, and S. Suppose that u =PQ, v = QR, -59 u = RP, and 52 v = PS. a) Are P, Q,…

A: We are given points P,Q,R,S such that   u=PQ→, v=QR→, -59u=RP→, 52v=PS→ Also find order of points on…

Q: Prove AB and Let B, be a point on AC such that AB, = AC. 8. Let AABC be a triangle. Let C1 be a…

A:

Q: Let the line DE be a line parallel to the base BC of triangle ABC. Show that if the line AF divides…

A: Given,DE∥BCAF bisects BCLet intersection of AF with DE be 'x'

Q: . In AOBC, A is the midpoint of side BC, D is a point on side OB where OD = 2DB. E is the point of…

A:

Q: 4. Show that the two internal bisectors and one external bisector of the angles of a triangle meet…

A: Given:

Q: 2. If B is the midpoint of AC, which of the, following must be true? I. АВ + ВС 3D АС II. 2ВС - АС…

A:

Q: 3. Let ABC be a triangle with D the midpoint of AB and E a point on AC so that DE is parallel to BC.…

A:

Q: If AB=3x+1, DC = 2x+7, AD = 2x-1, BC = x+5 and x = 6, prove that ABCD is a parallelogram

A:

Q: 4. Points A(xA , YA), B(xB,YB), and C(xc,Yc) form a triangle AABC. Let D, E, and F be midpoints of…

A: Using coordinate system we can prove two triangles are similar using distance formula. If length of…

Q: Q6) If the point A, B, C are .collinear then AB.BC = 0 F

A:

Q: Let ABC be a triangle. Let t, and tg be perpendicular bisectors of BC and AC respectively. A В Using…

A: Draw a triangle ABC and its two perpendicular bisectors in following,

Q: 8 units away from

A: Given that: Coordinates of A(0,0) and B(12,5)C is 8 units away from AB.

Q: Lines a, b, and c are coplanar, a II b, and a ± c. What can you conclude? explain?

A: Consider the given information as a∥b and a±c

Q: Find the area of the triangle formed by the lines 5x + y – 14 = 0, x+ 7y + 38 = 0, and 9x – 5y + 2 =…

A:

Q: ABC is a triangle. BF, CG are any two lines drawn from the extremities of the base BC to meet AC and…

A:

Q: No three of the points A, B, C, D are collinear. Prove that the angle between the circumcircles of…

A:

Q: 8. Let ABC be a triangle, and let D, E, and F be the points where the incircle is tangent to sides…

A: Given: Let  be a triangle, and let be the points where the incircle is tangent to sides and…

Q: Find the area of the triangle formed by the lines 5л +у — 14 — 0, т+7у +38 — 0, and 9л -5у +2 —0

A: We can find the area of the triangle as below

Q: 5) Use rhombus DKLMwith AM=4x+2, AK = 5x - 3, and DL =38. K A M L a) Find x. b) Find AL. c) Find…

A:

Q: 1. Given parallelogram ABCD, F is a point on BC, E is the intersection of DF and AB. Prove that FCD…

A: Topic - Similar triangles Two triangles are similar by AA similarity theorem , if two angles of one…

Q: a) Find the area of the triangle formed by the points A(1, 2, -1), B(5, 9, 0) and C(-6, 0, 3). )…

A: a)  area=27.88 b) angle between vectors = 0 degree

Q: Points on the same line are called? a. Pointb. Line c. Coplanar d. Collinear points

A: Given: The points on the same line.

Q: 3) Name three collinear points. b. A, B, and C d. A, D, and C a E, D, and A c. E, F, and C D

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.