12/5 Warm Up: Side Splitter Theorem

Front

What does the Side Splitter Theorem state?

Back

If a line is parallel to one side of a triangle and intersects the other two sides, then the segments created are proportional.

Front

In the Side Splitter Theorem, if a line divides two sides of a triangle, what is the relationship between the segments?

Back

The ratios of the lengths of the segments are equal.

Front

Back

AB is to BC as AE is to ED.

Front

What is the definition of similar triangles?

Back

Two triangles are similar if they have the same shape but not necessarily the same size.

Front

If two triangles are similar, what can we say about their corresponding sides?

Back

The lengths of their corresponding sides are proportional.

Front

What is the formula to find the missing length using the Side Splitter Theorem?

Back

Front

Back

x = 5.

Front

What is the significance of parallel lines in the Side Splitter Theorem?

Back

Parallel lines create proportional segments when intersected by a transversal.

Front

If a triangle has sides of lengths 6, 8, and 10, are these triangles similar to a triangle with sides 3, 4, and 5?

Back

Yes, because the ratios of the sides are equal.

Front

What is the relationship between congruent and similar triangles?

Back

Congruent triangles are similar, but similar triangles are not necessarily congruent.