Topic 7 Flashcard #2: Proportions in Similar Triangles

Front

What is the Side Splitter Theorem?

Back

The Side Splitter Theorem states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.

Front

How do you set up proportions using the Side Splitter Theorem?

Back

When using the Side Splitter Theorem, corresponding sides across from each other are either both in the numerator or denominator of your proportion.

Front

What is the Triangle Midsegment Theorem?

Back

The Triangle Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half its length.

Front

How do you find the length of a midsegment in a triangle?

Back

To find the length of a midsegment, take half the length of the parallel side it corresponds to.

Front

What is the relationship between similar triangles?

Back

In similar triangles, corresponding angles are equal, and the lengths of corresponding sides are proportional.

Front

How do you set up proportions for similar triangles?

Back

When setting up proportions for similar triangles, compare corresponding sides: short to short, medium to medium, and long to long.

Front

If two triangles are similar, what can you say about their areas?

Back

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding side lengths.

Front

What is the formula for finding the area of a triangle?

Back

The area of a triangle can be found using the formula: Area = 1/2 * base * height.

Front

How do you solve for a missing length in similar triangles?

Back

To solve for a missing length in similar triangles, set up a proportion using the lengths of corresponding sides.

Front

What is a practical application of the Side Splitter Theorem?

Back

The Side Splitter Theorem can be used in real-life situations such as determining heights of objects using shadows.