Triangle Similarity — Test Answers

Which best explains why all equilateral triangles are similar?

Using the side-splitter theorem, Daniel wrote a proportion for the segments formed by line segment DE What is EC ? BD over DA is equal to BE over EC 5 thirds is equal to 4 over EC

Which composition of transformations will create a pair of similar, not congruent triangles?

If triangle YWZ approximates triangle YXW , what is true about angle XWZ ?

Which transformations could have occurred to map triangle ABC to triangle cap A double prime cap b double prime cap c double prime ?

What is the perimeter of triangle WXY ?

We are given line segment AB is parallel to line segment DE Because the lines are parallel and segment CB crosses both lines, we can consider segment CB a transversal of the parallel lines. Angles CED and CBA are corresponding angles of transversal line segment CB and are therefore congruent, so angle CED is congruent to angle CBA We can state angle cap c is congruent to angle cap c using the reflexive property. Therefore, triangle ACB approximates triangle DCE by the

Which value of x would make line segment TV is parallel to line segment QS ?

What is the value of x ?

Using the side-splitter theorem, which segment length would complete the proportion? the fraction with numerator mathrm cap g cap h and denominator mathrm cap h cap e is equal to the fraction with numerator ? and denominator mathrm cap j cap f

If the triangles are similar, which must be true?

Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theorem?

Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theorem?

What is the length of line segment SR ?

Using the side-splitter theorem, Daniel wrote a proportion for the segments formed by line segment DE What is EC ? BD over DA is equal to BE over EC 5 thirds is equal to 4 over EC