f angle A is congruent to itself by the Reflexive Property, which transformation could be used to prove ΔABC ~ ΔADE by AA similarity postulate?triangles ABC and ADE, in which point D is between points A and B and point E is between points A and C Translate triangle ADE so that point D lies on point B to confirm ∠D ≅ ∠B. Translate triangle ADE so that point B lies on point E to confirm ∠B ≅ ∠E. Dilate ΔABC from point A by the ratio segment AD over segment AB to confirm segment AD ~ segment AB. Dilate ΔABC from point A by the ratio segment AE over segment AC to confirm segment AE ~ segment AC.Question 5(Multiple Choice Worth 5 points)(03.05 MC)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:The figure shows triangle ABC with segments DE and DF. Point D is on side AB, point E is on side AC, and point F is on side BC. Segment AD is 16, segment AE is 24, segment EC is 36, and segment FC is 27.Which statement can be proved true using the given theorem? Segment BD = 32 Segment BD = 36 Segment BF = 15 Segment BF = 18Question 6(Multiple Choice Worth 5 points)(03.01 LC)Triangle J′K′L′ shown on the grid below is a dilation of triangle JKL using the origin as the center of dilation:Two triangles are drawn on a grid. First triangle has vertices J 8 and 12, K 4 and 8, L 12 and 6. Image triangle has vertices J prime 4 and 6, K prime 2 and 4, L prime 6 and 3.Which scale factor was used to create triangle J′K′L′? 4 one quarter 2 one halfQuestion 7(Multiple Choice Worth 5 points)(03.03 MC)If a series of rigid transformations maps ∠F onto ∠C where ∠F is congruent to ∠C, then which of the following statements is true?triangles ABC and FDE, in which angles A and D are right angles ΔABC ~ ΔDEF because of the definition of similarity in terms of similarity transformations ΔABC ~ ΔEDF because of the AA similarity postulate segment AC ~ segment DF because corresponding parts of similar triangles are proportional segment BC ~ segment DE because of the definition of similarity in terms of similarity transformationsQuestion 8(Multiple Choice Worth 5 points)(03.01 MC)If ΔOPQ is dilated from point Q by a scale factor of 3, which of the following equations is true about segment R prime S prime?Triangle OPQ is shown with point R lying on side OP and point S lying on side OQ Line RS is perpendicular to side OQ. segment R prime S prime = one half segment RS segment R prime S prime = two segment RS segment R prime S prime = segment RS segment R prime S prime = three segment RS
