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congruent figures are identical i
Size, shape and measure. The
Corresponding sides between two
triangles are sides in the same rela
Position. Two figures are similar
they have the same shape, but not
necessarily the same size
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Step-by-step explanation:
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size.
The triangles are congruent if, in addition to this, their corresponding sides are of equal length.
The side lengths of two similar triangles are proportional. That is, if ΔUVW is similar to ΔXYZ , then the following equation holds:
UVXY=UWXZ=VWYZ
This common ratio is called the scale factor .
The symbol ∼ is used to indicate similarity.
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A Triangle is said to be congruent if all the size,shape,and length are similar to the another triangle.
CONGRUENT TRIANGLES ARE DIVIDED INTO MANY PARTS AS:
SSS(SIDE-SIDE-SIDE CONGRUENCE CONDITION)= If a triangle where the three sides of one triangle are similar to the another triangle .Then this will be said
to be CONGRUENT by SSS condition.
SAS(SIDE-ANGLE-SIDE CONGRUENCE CONDITION)= if a triangle where two side and including one angle are similar to the other triangle then it is
said to be Congruence by SAS condition.
ASA(ANGLE-SIDE-ANGLE CONGRUENCE CONDITION)= if a triangle where two angle including one side is congruent to the another triangle then it will be said to be CONGRUENT by ASA Congruence condition.
RHS(RIGHT ANGLE-HYPOTENUSE-SIDE CONGRUENCE CONDITION)= if a triangle where one right angle,hypotenuse,and one side is similar to the another triangle then it will be said to be CONGRUENT by RHS Congruence condition.
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