Liverpoololympia.com

Just clear tips for every day

Lifehacks

What is the same side interior?

What is the same side interior?

Same side interior angles are two angles that are on the same side of the transversal and on the interior of (between) the two lines. Same Side Interior Angles Theorem: If two parallel lines are cut by a transversal, then the same side interior angles are supplementary.

What is the difference between converse and theorem?

In math, when you have a theorem, you likely have a converse theorem. Do you know what converse means? The converse of a theorem happens when the conclusion and hypothesis of a theorem are switched.

What is same side exterior angles?

Two angles that are exterior to the parallel lines and on the same side of the transversal line are called same-side exterior angles. The theorem states that same-side exterior angles are supplementary, meaning that they have a sum of 180 degrees.

What is the converse of the definition of congruent triangles?

The converse of CPCTC says that if you have two triangles where you know all six pairs of corresponding parts are congruent, then the two triangles must be congruent. To demonstrate this idea, you will find a series of rigid motions (isometries) to map one such triangle onto another.

What is Thales theorem converse?

One way of formulating Thales’s theorem is: if the center of a triangle’s circumcircle lies on the triangle then the triangle is right, and the center of its circumcircle lies on its hypotenuse. The converse of Thales’s theorem is then: the center of the circumcircle of a right triangle lies on its hypotenuse.

Why are same side interior angles supplementary?

Are same side interior angles supplementary or congruent?

supplementary
Same Side Interior Angles Theorem: If two parallel lines are cut by a transversal, then the same side interior angles are supplementary.

What is the consecutive interior angles converse?

Problem

  • Strategy. To prove two lines are parallel,we can use the converse of the Corresponding Angles Theorem – if we find a pair of corresponding angles that are congruent,then
  • Proof
  • What are examples of consecutive interior angles?

    Relative positions of the two questioned angles

  • Whether the angles are outside the parallel lines (exterior) or inside the parallel lines (interior)
  • Whether the two angles under investigation are on the same side of the transversal (consecutive) or opposite sides of the transversal (alternate)
  • What are the same side interior angles?

    Alternate Interior angles are congruent.

  • The sum of the angles formed on the same side of the transversal which are inside the two parallel lines is equal to 180°.
  • Alternate interior angles don’t have any specific properties,in case of non-parallel lines.
  • What is the same-side interior angles postulate?

    Same Side Interior Angles. Same side interior angles are two angles that are on the same side of the transversal and on the interior of (between) the two lines.

  • Examples. Is\\begin {align*}l||m\\end {align*}? How do you know?
  • Review. For questions 1-2,use the diagram to determine if each angle pair is congruent,supplementary or neither.
  • Related Posts