Similarity Transformations Unit Test 84% Questions and Answers

Similarity Transformations Unit Test 84% Questions and Answers Triangle RST was dilated by a scale factor of . The image, triangle R'S'T', is an isosceles triangle, with each leg measuring 8 units. What is the length of a leg of the pre-image, triangle RST? 16 units Why is the information in the diagram enough to determine that △LMN ~ △PON using a rotation about point N and a dilation? because one pair of congruent corresponding angles is sufficient to determine similar triangles Quadrilateral JKLM was dilated according to the rule DO,(x,y) - (1/2x, 1/2y)0, -4) to create the image quadrilateral J'K'L'M', which is shown on the graph. What are the coordinates of vertex J of the pre-image? (0, -4) Triangle ABC was dilated using the rule DY, 5/4. If CA = 8, what is C'A'? 10 units Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theorem? A Read the proof. Given: AB ∥ DE Prove: △ACB ~ △DCE We are given AB ∥ 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 CB and are therefore congruent, so ∠CED ≅ ∠CBA. We can state ∠C ≅ ∠C using the reflexive property. Therefore, △ACB ~ △DCE by the AA similarity theorem. Consider the two triangles. To prove that the triangles are similar by the SSS similarity theorem, it needs to be shown that AB = 25 and HG = 15 Triangle TVW is dilated according to the rule DO 3/4,(x,y) - (3/4x 3/4y) to create the image triangle T'V'W', which is not shown. What are the coordinates of the endpoints of the segment T'V'? T'(-3, 6) and V'(0, 3) Which best explains why all equilateral triangles are similar? All equilateral triangles can be mapped onto each other using dilations. Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not? Yes, because both figures are rectangles and all rectangles are similar. Consider △RST and △RYX. If the triangles are similar, which must be true? B Which transformations could have occurred to map △ABC to △A"B"C"? a dilation and a rotation If an image of a triangle is congruent to the pre-image, then the scale factor of the dilation must be n = 1 Parallelogram FGHJ was dilated and translated to form similar parallelogram F'G'H'J'. What is the scale factor of the dilation? 4