SIMILAR TRIANGLES VOCABULARY

IDENTICAL IN SHAPE AND SIZE

• CONGRUENT

• CORRESPONDING ANGLES

• CORRESPONDING SIDES

• SIMILAR

SAME SHAPE, DIFFERENT SIZE

• DILATION

• PERIMETER

• SIMILAR

• AREA

RESIZING A FIGURE BY A CERTAIN SCALE FACTOR

• AA~

• DILATION

• THEOREM

• RIGID MOTION

TOTAL LENGTH OF AN OBJECT'S BOUNDARY

• PERIMETER

• SCALE FACTOR

• COGRUENT

• MIDSEGMENT

RATIO OF CORRESPONDING SIDES OF TWO SIMILAR FIGURES

• PROPORTION

• SCALE FACTOR

• SIMILARITY STATEMENT

• THEOREM

A FIGURE WITH AT LEAST 3 STRAIGHT SIDES, USUALLY FIVE OR MORE SIDES

• POLYGON

• PERIMETER

• TRIANGLE

• LINE SEGMENT

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 ~

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 ~