Proportionality in Triangles

What segment is parallel to EF?

• Segment PM

• Segment MN

• Segment NP

• Segment FG

QR is a midsegment of triangle FGH. Solve for the value of x?

• 5.5

• 11

• -5.5

• -11

IF A LINE IS PARALLEL TO ONE SIDE OF A TRIANGLE AND INTERSECTS THE OTHER TWO SIDES AT DIFFERENT POINTS, THEN IT DIVIDES THE REMAINING TWO SIDES PROPORTIONALLY

• SSS ~

• TRIANGLE PROPORTIONALITY THEOREM

• CONVERSE OF TRIANGLE PROPORTIONALITY THEOREM

• SAS ~

IF TWO SIDES OF A TRIANGLE AND THE ANGLE BETWEEN THEM ARE PROPORTIONAL TO CORRESPONDING SIDES AND ANGLES OF ANOTHER TRIANGLE, THE TRIANGLES ARE SIMILAR

• SSS ~

• AA ~

• CONVERSE OF TRIANGLE PROPORTIONALITY THEOREM

• SAS ~

IF A SEGMENT DIVIDES ANY TWO SIDES OF A TRIANGLE PROPORTIONALLY, THEN THE LINE IS PARALLEL TO THE THIRD SIDE OF THE TRIANGLE

• TRIANGLE PROPORTIONALITY THEOREM

• AA ~

• CONVERSE OF TRIANGLE PROPORTIONALITY THEOREM

• SAS ~

IF ALL 3 SIDES OF A TRIANGLE ARE PROPORTIONAL TO THEIR CORRESPONDING SIDES OF ANOTHER TRIANGLE, THE TRIANGLES ARE SIMILAR

• TRIANGLE PROPORTIONALITY THEOREM

• AA ~

• SSS ~

• SAS ~

RATIO OF CORRESPONDING SIDES OF TWO SIMILAR FIGURES

• PROPORTION

• SCALE FACTOR

• SIMILARITY STATEMENT

• THEOREM

If a line divides any two sides of a triangle in the same ratio then the line is_____ to the third side

• equal

• parallel

• intersecting

• coinciding

in the fig, if DE ll BC then find the value of AD

• 16

• 8

• 4

• 32

In the fig, DE ll BC. find the value of EC

• 4

• 18

• 12

• 16