12/10 REDO (457) Triangle Proportionality

Front

What is the Triangle Proportionality Theorem?

Back

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

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The corresponding sides of similar triangles are in proportion.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they are always the same distance apart and never meet.

Front

How do you determine if two segments are proportional?

Back

Two segments are proportional if the ratio of their lengths is equal.

Front

What is the significance of the 'AA' criterion in triangle similarity?

Back

The 'AA' criterion states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

If a triangle has sides of lengths 3, 4, and 5, what type of triangle is it?

Back

It is a right triangle, as it satisfies the Pythagorean theorem (3^2 + 4^2 = 5^2).

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

If a triangle has a base of 10 units and a height of 5 units, what is its area?

Back

The area is 25 square units (Area = 1/2 * 10 * 5).

Front

What is the relationship between the angles and sides in similar triangles?

Back

In similar triangles, corresponding angles are equal, and corresponding sides are in proportion.

Front

How can you find the missing length in a triangle using proportionality?

Back

You can set up a proportion using the lengths of the sides of the triangles and solve for the missing length.