Triangle Proportionality Theorem Worksheet

In this triangle we draw a line pq parallel to the side bc of δabc and intersecting the sides ab and ac in p and q respectively.

Triangle proportionality theorem worksheet. Section 8 4 proportionality theorems 449 using the triangle angle bisector theorem in the diagram qpr rps. A proportion is an equation that shows two equivalent ratios. 17 21 24 10 2x 5 10 18 x 1 12 5 6 11 2 create your own worksheets like this one with infinite.

Consider a triangle δabc as shown in the given figure. 7 20 12 solve for x. Some vocabulary terms you ll need to know to pass the quiz.

Compare areas three times. Improve your math knowledge with free questions in triangle proportionality theorem and thousands of other math skills. Let poly1 and poly2 denote the areas of the triangles.

Draw a triangle scalene right obtuse it does not matter with one side horizontal to you. Finally we know that two triangles on the same base and between the same parallels are equal in area. P worksheet by kuta software llc 9.

Make a triangle poly1 aed and a triangle poly2 bed. All you need to know in order to prove the theorem is that the area of a triangle is given by a w h 2. Use the given side lengths to fi nd the length of rs.

Let us now try to prove the basic proportionality theorem statement. About this quiz worksheet. Where w is the width and h is the height of the triangle.