Triangle Similarity — Test Answers

Which would prove that triangle cap A cap b cap c approximates triangle cap x cap y cap z ? Choose two correct answers.

Which value of y would make OP is parallel to LN ?

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

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

Why is the information in the diagram enough to determine that triangle LMN approximates triangle PON using a rotation about point cap n and a dilation?

What is the length of line segment SR ?

Which statements are true? Choose two correct answers.

What is the perimeter of triangle WXY ?

What other information is needed to prove that triangle cap f cap g cap e approximates triangle cap i cap j cap h by the SAS similarity theorem?

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

To prove that triangle cap d cap f cap e approximates triangle cap g cap f cap h by the SAS similarity theorem, it can be stated that the fraction with numerator cap d cap f and denominator cap g cap f is equal to the fraction with numerator cap e cap f and denominator cap h cap f and

Select the correct similarity statement.

If the triangles are similar, which must be true?

Which best explains why all equilateral triangles are similar?

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

Which ratio is also equal to the fraction with numerator cap r cap t and denominator cap r cap x and the fraction with numerator cap r cap s and denominator cap r cap y ?

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

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

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

To prove that the triangles are similar by the SAS similarity theorem, it needs to be shown that