Similar Triangles

Question 1

Midline Theorem

Answer 1

If a line segment joins the midpoint of two sides of a triangle, then the line segment is parallel to the third side and its length is half the length of the third side.

Question 2

Midline Theorem for trapezoids

Answer 2

The median of a trapezoid is parallel to the bases and its length is half the sum of the lengths of the bases

Question 3

Means-Extremes Ratio Theorem

Answer 3

If the product of two non-zero numbers is equal to the product of two other non-zero numbers, either pair of numbers may be made the means and the other pair the extremes in a proportion.

Question 4

What are the four methods of forming new proportions with an existing proportion?

Answer 4

Inversion, alternation, addition, subtraction

Question 5

Triangle Proportionality Theorem

Answer 5

If a line is parallel to one side of a triangle and intersects the other two sides, then it divided the sides proportionally

Question 6

State the following theorem that uses these included words: three or more parallel lines, transversals

Answer 6

If three or more parallel lines intercept two or more transversals, then they divide the transversals proportionally

Question 7

What is the definition of similar polygons?

Answer 7

Similar plutons are polygons that have corresponding angles that are congruent and corresponding sides in proportion

Question 8

State the following theorem that uses these following words: similar, perimeter

Answer 8

If two polygons are similar, then the ratio of their perimeter is equal to the ratio of the lengths of any two corresponding sides.