Question

Three parallel lines are such that one passes through each vertex of a triangle ABC, and...

Three parallel lines are such that one passes through each vertex of a triangle ABC, and they are not parallel to any of the triangles sides. The line through A meets BC (extended if necessary) in X, the lines through B and C meet CA and AB in Y and Z respectively. Prove that area(XYZ) = 2xArea(ABC)

Math   Geometry   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
5. Suppose that the incenter I of ABC is on the triangle’s Euler line. Show that...
5. Suppose that the incenter I of ABC is on the triangle’s Euler line. Show that the triangle is isosceles. 6. Suppose that three circles of equal radius pass through a common point P, and denote by A, B, and C the three other points where some two of these circles cross. Show that the unique circle passing through A, B, and C has the same radius as the original three circles. 7. Suppose A, B, and C are distinct...
Let J be a point in the interior of triangle ABC. Let D, E, F be...
Let J be a point in the interior of triangle ABC. Let D, E, F be the feet of the perpendiculars from J to BC, CA, and AB, respectively. If each of the three quadrilaterals AEJF, BFJD, CDJE has an inscribed circle tangent to all four sides, then J is the incenter of ∆ABC. It is sufficient to show that J lies on one of the angle bisectors.
1.      This exercise asks you to negate various results that are equivalent to the Euclidean parallel...
1.      This exercise asks you to negate various results that are equivalent to the Euclidean parallel postulate. (a)   Alternate Postulate 5.1. Given a line and a point not on the line, exactly one line can be drawn through the given point and parallel to the given line. (b)   Alternate Postulate 5.2. If two parallel lines are cut but a transversal, then the alternate interior angles are equal, each exterior angle is equal to the opposite interior angle, and sum of...
∠ABC is a right angle. AB = 8 inches, BC = 13 inches, and AD =...
∠ABC is a right angle. AB = 8 inches, BC = 13 inches, and AD = 3 feet. Determine the surface area (in square inches) and volume (in cubic inches) of the following. (Round your answers to one decimal place.) A triangular prism is given. The prism is oriented so that the top and bottom faces are triangles. Four vertices of the prism are labeled as follows: The bottom left vertex of the top triangular face is labeled A. The...
What tools could AA leaders have used to increase their awareness of internal and external issues?...
What tools could AA leaders have used to increase their awareness of internal and external issues? ???ALASKA AIRLINES: NAVIGATING CHANGE In the autumn of 2007, Alaska Airlines executives adjourned at the end of a long and stressful day in the midst of a multi-day strategic planning session. Most headed outside to relax, unwind and enjoy a bonfire on the shore of Semiahmoo Spit, outside the meeting venue in Blaine, a seaport town in northwest Washington state. Meanwhile, several members of...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT