## How do you solve the triangle side splitter Theorem?

Starts here2:27Using the Side Splitter Theorem – YouTubeYouTubeStart of suggested clipEnd of suggested clip58 second suggested clipLet’s get ready to take a look at using the side-splitter theorem remember the side-splitter theoremMoreLet’s get ready to take a look at using the side-splitter theorem remember the side-splitter theorem reads if a line is parallel to one side of a triangle and intersects the other two sides.

## How does side splitter theorem work?

The side splitter theorem states that if a line is parallel to a side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally.

**When can we use the side splitter Theorem?**

You can use the Side-Splitter Theorem only for the four segments on the split sides of the triangle. Do not use it for the parallel sides, which are in a different ratio. For the parallel sides, use similar-triangle proportions.

**What is ASA theorem in geometry?**

The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

### How do you prove the side splitter Theorem?

Starts here4:02Proof of Side Splitter Theorem – YouTubeYouTube

### What is a split triangle?

A triangle can be split by a line segment at any spot in the triangle. As long as the segment touches two sides of the triangle, and is parallel to the side it doesn’t touch, then the segment splits the triangle proportionally.

**What does side splitter mean?**

Definition of sidesplitter : one that is sidesplitting specifically : an exceedingly funny story or joke.

**What are triangle theorems?**

If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent….Angles:

Right Angles | All right angles are congruent. |
---|---|

Vertical Angles | Vertical angles are congruent. |

Triangle Sum | The sum of the interior angles of a triangle is 180ยบ. |

## What is SSA theorem?

The acronym SSA (side-side-angle) refers to the criterion of congruence of two triangles: if two sides and an angle not include between them are respectively equal to two sides and an angle of the other then the two triangles are equal.

## What is AAS and ASA?

If two triangles are congruent, all three corresponding sides are congruent and all three corresponding angles are congruent. This shortcut is known as angle-side-angle (ASA). Another shortcut is angle-angle-side (AAS), where two pairs of angles and the non-included side are known to be congruent.