Proof

ABCDEF is a convex hexagon with side AB parallel to CF side CD parallel to BE and side EF parallel to AD prove that [ACE]=[BDF] as shown in document (attached).

Proof

Given the figure in document with D=midpoint of AC and E = midpoint of BD a-find BC/BF b-find [AEB] if [BEF]=1

Conic questions...

My class is studing graphs that have geometric interpretations which is known as conic sections. How do I explain how the curves can be created geometrically? Can you tell me if a conic section is considered to be a function?

Proofs

1- prove that the diagonals of arhombus bisect each other at right angels. 2- prove that diagonals of a kite or dart (possibly extende) intersect at right angels. (Note: kite is a convex quadrilateral in which 2 pairs of adjacent sides are congruent dart is a non convex quadrilateral in which 2 pairs of adjacent sides are c ...continues

Constructions

1. Show how to constract a triangle given the 3 midpoints of its side. 2. Show how to construct a triangle given the lenght of one side, the size of an adjacent angle and the lenght of the median from that angle.

Constructions

1. Show how to construct a triangle given the lenght of one side, the distance from an adjacent vertex to the incenter and the radius of the incircle. 2. Show how to construct a triangle ABC given the lenght of side BC and the altitudes from B and C

Constructions

Show how to construct a triangle given the measure of one angle, the length of the internal bisectore of that angle and the radius of the incircle.

Vectors and analytic geometry

Please find the 1) length and 2) direction (when defined) of 1) A X B and 2) B X A Please show all work, including the grids for the determinants. Thank you. A = 2i - 2j - k B = i - k

Find the cross product and its magnitude of given vectors

Please find the 1) length and 2) direction (when defined) of 1) A X B and 2) B X A Please show all work, including the grids for the determinants. Thank you. A = 2i + 3j B = -i + j

Geometry/construction

1- given a unit line segment AB (2 cm) construct a segment of lenght (1+Sqrt[5])/2 2- given the unit segment abobe and construct a segment of lenght Sqrt[2/3]