Similar Figures, Triangle Proportionality, and Midsegment

SAME SHAPE, DIFFERENT SIZE

• DILATION

• PERIMETER

• SIMILAR

• AREA

RATIO OF CORRESPONDING SIDES OF TWO SIMILAR FIGURES

• PROPORTION

• SCALE FACTOR

• SIMILARITY STATEMENT

• THEOREM

IF TWO PAIRS OF CORRESPONDING ANGLES ARE CONGRUENT, THEN THE TRIANGLES ARE SIMILAR

• AA ~

• TRIANGLE PROPORTIONALITY THEOREM

• CONVERSE OF TRIANGLE PROPORTIONALITY THEOREM

• SAS ~

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 ~

TS is a midsegment of triangle GHI. Solve for the value of x.

• 4

• 6

• 8

• 10

VW is a midsegment of triangle KIJ. What is the length of segment KI?

• -1

• -10

• 18

• 8

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

• 5.5

• 11

• -5.5

• -11

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

• 11

• 18

• 9

• -7

QR is a midsegment of triangle WXY. What is the length of segment WY?

• 3

• 6

• 9

• 12

• A
• B
• C
• D