Question

Neutral Geometry Proof: If two lines are cut by a transversal and the alternate interior angles...

Neutral Geometry Proof:

  1. If two lines are cut by a transversal and

    1. the alternate interior angles are congruent, or

    2. the corresponding angle are congruent, or

    3. the interior angles on the same side are supplementary, then the lines are parallel.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Neutral Geometry Proof If two parallel lines are cut by a transversal, then The alternate interior...
Neutral Geometry Proof If two parallel lines are cut by a transversal, then The alternate interior angles are congruent. The corresponding angles are congruent. The interior angles on the same side are supplementary.
Write a short statement arguing the truth value for the following claim. The alternate interior angle...
Write a short statement arguing the truth value for the following claim. The alternate interior angle theorem states that if parallel lines are cut by a transversal, then alternate interior angles are congruent to each other.
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...
Describe the Saccheri Quadrilateral and prove in neutral geometry that the summit angles are congruent.
Describe the Saccheri Quadrilateral and prove in neutral geometry that the summit angles are congruent.
Prove that equilateral triangles exist in neutral geometry (that is, describe a construction that will yield...
Prove that equilateral triangles exist in neutral geometry (that is, describe a construction that will yield an equilateral triangle). note that all the interior angles of an equilateral triangle will be congruent, but you don’t know that the measures of those interior angles is 60◦.Also, not allowed to use circles.
If the parts of two triangles are matched so that two angles of one triangle are...
If the parts of two triangles are matched so that two angles of one triangle are congruent to the corresponding angles of the other, and so that a side of one triangle is congruent to the corresponding side of the other, then the triangles must be congruent. Justify this angleangle-corresponding side (AAS) criterion for congruence. Would AAS be a valid test for congruence if the word corresponding were left out of the definition? Explain.
Prove (with neutral geometry) If the angle of parallelism for a point P and a line...
Prove (with neutral geometry) If the angle of parallelism for a point P and a line RS is Less Than 90 degrees, then there exist At Least Two lines through P that are parallel to line RS. Please explain step by step and include a diagram. Thanks so much!
(18) Two distinct lines in the Riemannian plane that are perpendicular to the same line: (a)...
(18) Two distinct lines in the Riemannian plane that are perpendicular to the same line: (a) are necessarily parallel. (b) necessarily intersect. (c) may either intersect or be parallel. (d) do not exist--you can't have two lines perpendicular to the same line in Riemannian geometry. (e) do not form 90°-degree angles with the giv8line
A. Explain the connections between geometric constructions and two of Euclid’s postulates. 1. A straight line...
A. Explain the connections between geometric constructions and two of Euclid’s postulates. 1. A straight line segment can be drawn joining any two points. 2. Any straight line segment can be extended indefinitely in a straight line. 3. Given any straight line segment, a circle can be drawn having the segment as radius and one endpoint as center. 4. All right angles are congruent. 5. If two lines are drawn which intersect a third in such a way that the...
Show that, for any positive integer n, n lines ”in general position” (i.e. no two of...
Show that, for any positive integer n, n lines ”in general position” (i.e. no two of them are parallel, no three of them pass through the same point) in the plane R2 divide the plane into exactly n2+n+2 regions. (Hint: Use the fact that an nth line 2 will cut all n − 1 lines, and thereby create n new regions.)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT