Similarity Transformations — Test Answers

What is the length of a leg of the pre-image, triangle RST ?

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

Is triangle cap A prime cap b prime cap c prime a dilation of triangle ABC ? Explain.

What are the coordinates of vertex cap j of the pre-image?

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 are true? Choose three correct answers.

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

If an image of a triangle is congruent to the pre-image, what is the scale factor of the dilation?

Which best explains why all equilateral triangles are similar?

What are the coordinates of the endpoints of the segment cap t prime cap v prime ?

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

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?

Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?

If PG prime equals 0 point 5 units, what is PG ?

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

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

Right triangle ABC is reflected over line segment AC , then dilated by a scale factor of 2 thirds to form triangle DEC Which statements about the two triangles must be true? Choose three correct answers.

What is the length of line segment AC ?

If CA is equal to 8 , what is cap c prime cap A prime ?

Using the triangle midsegment theorem, what is AC ? Enter your answer in the box.