Question

Consider a quadrilateral ABCD such that ∠BAD and ∠ADC are perpendicular, the rays AB and CD...

  1. Consider a quadrilateral ABCD such that ∠BAD and ∠ADC are perpendicular, the rays AB and CD are on the same side of the line AD, and AB ≅ CD.
    Prove the following claims on E2, H2, and S2.
    • ∠ABC ≅ ∠DCB.
    • the perpendicular bisector of AD is also the perpendicular bisector of BC.

Hint: Look for symmetries.

Math   Advanced-Math   
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
Consider a quadrilateral ABCD such that ∠BAD and ∠ADC are perpendicular, the rays AB and CD...
Consider a quadrilateral ABCD such that ∠BAD and ∠ADC are perpendicular, the rays AB and CD are on the same side of the line AD, and AB ≅ CD. Quadrilaterals with these properties are called Khayyam quadrilaterals Prove the following claims on E2, H2, and S2. ∠ABC ≅ ∠DCB. the perpendicular bisector of AD is also the perpendicular bisector of BC. Hint: Look for symmetries.
EUCLIDEAN GEOMETRY Let □ABCD be a quadrilateral on a surface satisfying the five axioms. Assume that...
EUCLIDEAN GEOMETRY Let □ABCD be a quadrilateral on a surface satisfying the five axioms. Assume that m∠ABC = m∠BCD = 90, and that the rays BA and CD are on the same side of the line BC. Prove that if If m∠CDA = m∠DAB, then mAB = mCD. (Hint: This proof is very similar to angle side inequality , replace isoscles triangles with khyyam quadilateral )
Let ABCD be a rectangle with AB = 4 and BC = 1. Denote by M...
Let ABCD be a rectangle with AB = 4 and BC = 1. Denote by M the midpoint of line segment AD and by P the leg of the perpendicular from B onto CM. a) Find the lengths of P B and PM. b) Find the area of ABPM. c) Consider now ABCD being a parallelogram. Denote by M the midpoint of side AD and by P the leg of the perpendicular from B onto CM. Prove that AP =...
Consider the triangle ABC. Suppose that the perpendicular bisectors of line segments AB and BC intersect...
Consider the triangle ABC. Suppose that the perpendicular bisectors of line segments AB and BC intersect at point X. Prove that X is on the perpendicular bisector of line segment AC.
ABC is a right-angled triangle with right angle at A, and AB > AC. Let D...
ABC is a right-angled triangle with right angle at A, and AB > AC. Let D be the midpoint of the side BC, and let L be the bisector of the right angle at A. Draw a perpendicular line to BC at D, which meets the line L at point E. Prove that (a) AD=DE; and (b) ∠DAE=1/2(∠C−∠B) Hint: Draw a line from A perpendicular to BC, which meets BC in the point F
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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT