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PLS HELP Question 3

Match each theorem with its description.

Question 3 options:

1
Vertical Angles Theorem


Triangle Sum Theorem


Corresponding Angles Postulate


Same-Side Interior Angles Theorem


Isosceles Triangle Theorem


Alternate Exterior Angles Theorem


Triangle Midsegment Theorem


Alternate Interior Angles Theorem

1.
If two angles form a pair of vertical angles, then they are congruent.

2.
The sum of the measures of the interior angles of a triangle is 180°.

3.
If two sides of a triangle are congruent, then the angles opposite those sides are congruent

4.
The midsegment of a triangle is parallel to the third side and its length is one-half the length of the third side.

5.
If two parallel lines are intersected by a transversal, then corresponding angles are congruent.

6.
If two parallel lines are intersected by a transversal, then alternate interior angles are congruent.

7.
If two parallel lines are intersected by a transversal, then the alternate exterior angles are congruent

8.
If two parallel lines are intersected by a transversal, then the same-side interior angles are supplementary.

Sagot :

akposevictor

The theorems that matches each respective description are:

  • Vertical Angles Theorem - 1
  • Triangle Sum Theorem - 2
  • Corresponding Angles Postulate - 5
  • Same-Side Interior Angles Theorem - 8
  • Isosceles Triangle Theorem - 3
  • Alternate Exterior Angles Theorem - 7
  • Triangle Midsegment Theorem - 4
  • Alternate Interior Angles Theorem - 6

What is the Vertical Angles Theorem?

  • This theorem states that a pair of vertical angles that are formed will always be congruent.
  • Number 1 description matches this theorem.

What is the Triangle Sum Theorem?

  • This states that all three interior angles of a triangle equals 180 degrees.
  • Number 2 description matches this theorem.

What is the Corresponding Angles Postulate?

  • This states that the corresponding angles formed, when a transversal cuts two parallel lines, are congruent.
  • Number 5 description matches this theorem.

What is the Same-Side Interior Angles Theorem?

  • This states that the same-side interior angles formed, when a transversal cuts two parallel lines, are congruent.
  • Number 8 description matches this theorem.

What is the Isosceles Triangle Theorem?

  • This states that the the two equal sides of an isosceles triangle are directly opposite the two congruent angles of the triangle.
  • Number 3 description matches this theorem.

What is the Alternate Exterior Angles Theorem?

  • This states that the alternate exterior angles formed, when a transversal cuts two parallel lines, are congruent.
  • Number 7 description matches this theorem.

What is the Triangle Midsegment Theorem?

  • This states that the midsegment of a triangle is always half the length of the third side it is parallel to.
  • Number 4 description matches this theorem.

What is the Alternate Interior Angles Theorem?

  • This states that the alternate interior angles formed, when a transversal cuts two parallel lines, are congruent.
  • Number 6 description matches this theorem.

Learn more about Angles Theorem on:

https://brainly.com/question/24756010

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