Consider nonzero real constants a and B. A possible graphic representation for the equation plane ax = By is: A) в)

Q: Must three parallel lines be coplanar? Draw a diagram to illustrate your answer.

A: To write: Three parallel lines be coplanar or not and to draw the diagram.

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: If the bisector of an angle of a triangle also bisects the opposite side, then the triangle is an…

A: Given: In △XYZ YW→ bisects ∠XYZ and WX≅WZ, To prove: △XYZ is isosceles.

Q: Let a = ci + j and b = 4i + 32j. Find c so that a and b are orthogonal. %3D i

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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

A:

Q: AB and CD are diameters of the circle centered at O. Prove that lines AD and BC are parallel. (Your…

A: Solution: To prove AD and BC parallel, we will use corresponding angle property.First, we will draw…

Q: In the figure below, points A, E, F, and C lie in plane X. Points B andD do not lie in plane X. For…

A: The given details in the problems are; Here A,E,F and C lie in the same plane, the name of the plane…

Q: Are these planes parallel?

A: The given planes are 2x+y-z=2 ............. (1)                                   2x+3y+5z=4…

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: Create a two-column proof. B A D Given: Rhombus ABCD with diagonals AC and BD intersecting at point…

A: Properties of the Rhombus -  Rhombus has four equal sides and opposite sides are parallel.…

Q: Use the diagrams to answer the following. a) Intersection of plane A and plane C. a) b) Intersection…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: B. Directions: Draw and label figures that fit with the following statement. 1. CD intersecting AB…

A:

Q: Show that the sum of the two perpendiculars drawn from any point in the base of an isosceles…

A:

Q: A space has the line element, ds? = v*du? +u*dv² . Determine whether this space is flat or curved.

A: It is given that the line element ds2=v2du2+u2dv2. it is required to determine that whether this…

Q: A can tessellate a plane. O Equilateral triangle O Regular heptagon O Regular decagon O Regular…

A: Given:  A ....... can tessellate a plane.

Q: . Prove that in a triangle, the orthocenter, centroid and the circumcenter are concurrent (in a…

A: Let X be the mid-point of EF Construct the median DX. Since G is the centroid, G is on DX by the…

Q: Suppose that AB is the diameter of a circle with çenter O and that C is a point on one of the two…

A: given: AB is the diameter of the circle with center O and that C is a point on one of the two arcs…

Q: 12. Sketch a diagram to show that the following statement is true: If EF bisects CD, EF lies on a…

A: Please refer the attached image for complete solution. Given: EF→ bisects CD→ and EF→ lies on a…

Q: The perpendicular bisectors of the sides of any triangle ABC are concurrent. The point is called the…

A: The perpendicular bisectors of the sides of any triangle ABC are concurrent.

Q: Three points with position vectors a, b, and c will be collinear (lie on a line) if the…

A: Given that:         Position vectors of points areA(2,2,3), B(6,1,5) and C(-2,4,3)

Q: (2, 3.5)

A: Here, the given function is,

Q: Name three points that determine plane M.

A: Given, two planes M and N that intersect on line passes through A and B in image we can see three…

Q: . Consider an acute angled triangle ABC and a point D on BC. Find points (by construction) E on AC…

A: We need to construct points.

Q: Determine whether the planes are parallel, orthogonal, or neither. 3x 15y 3z = 3 3x 15y 3z = -4 - -…

A: The given planes are 3x-15y-3z=3 and 3x-15y-3z=-4

Q: In the figure shown, suppose that ray CD bisects exterior angle ZACE of AABC. If mz1 = 70° and mz2 =…

A: Given figure is: Given that ray CD bisects exterior angle ∠ACE of △ABC, m∠1=70° and m∠2=30°. To…

Q: 3. If point P is the centroid of AMNO, which statements can be deduced? Select all that apply. M R S…

A:

Q: 1. The circular track is tangent to each side of Quadrilateral ABCD, and all of the angles in…

A: Hi, since you have asked multiple questions, we will solve the first question for you. If want any…

Q: Let ABC be a triangle and let a line / intersect the AB, BC, AC at C,A,B respectively. Let P be the…

A: Given that in a triangle, a line l intersects the AB, BC, AC at C1, A1 and B1 respectively. And P be…

Q: Prove using coordinate plane that the diagonals of an isosceles trapezoid are congruent.

A:

Q: Prove if AABC has complementary triangle AA'B'C' and centroid G, then the six triangles AGA'C,…

A:

Q: ABCD is a plane quadrilateral and E is any point on AD. EF is drawn parallel to DB to meet AB in F,…

A:

Q: Which of the following tessellates the plane? (Circle all that apply.)

A: We have to find out from the given figure which is tessellates the plane.

Q: 2-) Calculate the distance d of the pont P(-1,1,-2) through the throe points the plane pu sing from…

A: The distance d of the point p=(-1,1,-2) from the plane passing through the points A(1,-1,1)  ,…

Q: Theorem 4. Each diagonal of a rhombus bisects opposite angles. Show Me! Given: Rhombus VWXY Prove:…

A: Given, Rhombus VWXY prove  ∠1≡∠2∠3≡∠4 StatementsReasons1. Rhombus VWXY1. Given2. YV≡VW ;…

Q: Is plane ABC perpendicular with plane BCD? Prove by completing all views. Construct parallelogram…

A:

Q: Consider a, B = 0. A possible graphical representation for the equation plane ax = By is: A) B)

A: Given  α,β≠0.we have to find the graphical representation for the equation plane.αx=βy

Q: Prove that the diagonals of a rhombus intersect at right angles. (A rhombus is a quadrilateral with…

A: We have to prove that diagonal of rhombus intersects at right angle. Let ABCD is a rhombus.…

Q: Assume that a = b + d. a. Show that the trapezoid is isosceles. b. Prove that its diagonals are…

A: Given  Here assume that a = b + d.

Q: Which of the following statements is/are not true about non-Euclidean geometries? I. In…

A: We will use basic definition to answer this question

Q: If A, B, C, and D are collinear, then they lie in the same plane. A, B, C, and D lie in the same…

A:

Q: Prove Green's theorem for the rectangle defined by xo < x < x1 Yo < y < Y1 (a) directly, and (b)…

A:

Q: Given: In a plane, a 1 b, b 1 c, and c || d. Prove: a || d 开! roof

A: We can write the paragraph proof as below.

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: If there are 9 distinct points on a plane, no 3 of which are collinear, how many quadrilaterals can…

A:

Q: Assume the pattern of congruent squares shown in the figure continues forever. Write rules for rigid…

A:

Q: Does a right circular cone such as a wizard's cap have a) symmetry with respect to at least one…

A:

Q: In right triangle ABC, 90°. Also, BC = a, b, and AB mZC = = c. Construct the bisector of ZB so that…

A:

Q: Let a, = 0 , and b = 2 %3D .az = Then Span (a, a) is a plane through the origin in R. Is b in that…

A: b lies on that plane if b can be written as the linear combination of a1 and a2