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mrs_skeptik [129]
3 years ago
7

in the pair of triangle, write the similarity statement and identify the postulate of theorem that justifies the similarity.​

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
6 0

Answer:

ΔEFG ~ ΔRPQ - Angle Angle Angle Theorem

ΔEFG ~ ΔRFQ - Side Side Side Proportional Theorem

Step-by-step explanation:

First set : using triangle sum theory to find missing angle. Letters should match congruent angles when creating statement.

Second set :

\frac{EG}{RQ} = \frac{10}{12} =  \frac{5}{6}

\frac{EF}{RF} =  \frac{15}{18} =  \frac{5}{6}

\frac{FG}{FQ} =  \frac{20}{24} =  \frac{5}{6}

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<h3>What is called a triangle?</h3>
  • A triangle in geometry is a three-sided polygon with three edges and three vertices. The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic. This characteristic is known as the triangle's angle sum property.
  • Triangles are three-sided shapes. The various kinds of triangles go by various names. The angles' size and the sides' length determine the type of triangle (corners). Equilateral, isosceles, and scalene triangles are the three varieties of triangles based on the length of the sides.
  • The triangle is most frequently seen in our daily lives on traffic signs. The signs are triangular in shape and equilateral, which means that all three of their sides are the same length and have the same angle.

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Step-by-step explanation:

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