Theorem: A line parallel to one side of a triangle divides the other two proportionately. In the figure below, segment DE is parallel to segment BC and segment EF is parallel to AB: A 16 24 D E 36 B F 27 Which statement can be proved true using the given theorem? Segment BD = 32 Segment BD = 36 O Segment BF = 15 O Segment BF = 18If ABCD is dilated by a scale factor of 2 about point E, which of the following is true about FF*? B C E F A D OF'F* is perpendicular to EF . O E'F* is parallel to EF . OE'F* intersects with point B'. OFF* passes through the center of dilation.A pool company is creating a blueprint for a family pool and a similar dog pool for a new client. Which statement explains how the company can determine whether pool STUV is similar to pool WXYZ? U X W Translate WXYZ so that point W of WXYZ lies on point S of STUV, then translate WXYZ so that point X of WXYZ lies on point T of STUV. O Translate WXYZ so that point X of WXYZ to point T of STUV, then dilate WXYZ by the ratio XW TS Translate WXYZ so that point X of WXYZ lies on point T of STUV, then translate WXYZ so that point W of WXYZ lies on point S of STUV. Translate WXYZ so that point W of WXYZ lies on point S of STUV, then dilate WXYZ by the ratio TS XWTriangle J'K'L' shown on the grid below is a dilation of triangle JKL using the origin as the center of dilation: K' J K L 2 3 4 5 6 7 8 9 10 11 12 13 14 Which scale factor was used to create triangle J'K'L'? 04 02 O OIf a series of rigid transformations maps _F onto C where F is congruent to C, then which of the following statements is true? F D B m A OAABC - ADEF because of the definition of similarity in terms of similarity transformations O AABC - AEDF because of the AA similarity postulate AC - DF because corresponding parts of similar triangles are proportional BC - DE because of the definition of similarity in terms of similarity transformationsWhich triangle is similar to triangle EAD using the Pieces of Right Triangles Similarity Theorem? D E A B Triangle BAC Triangle DAC O Triangle CAB O Triangle ACDIf AOPQ is dilated from point Q by a scale factor of 3, which of the following equations is true about R'S*? P R S O Q OR'S' -RS 2 OR'S' = 2RS OR'S' = RS OR'S' = 3RSIf angle A is congruent to itself by the Reflexive Property, which transformation could be used to prove AABC ~ AADE by AA similarity postulate? D B m A O Translate triangle ABC so that point C lies on point D to confirm _C = =D. O Dilate AABC from point A by the ratio AD to confirm AD ~ AB. AB O Translate triangle ABC so that point B lies on point D to confirm