Maya is the manager for the track team. She created a table to compare finish times from the second practice to the first practice. 100 m Dash Finish Time Comparison Runner Second practice time compared to first practice time Joshua +1.03 Kedwin –0.97 Leila –0.95 Miguel +1.1 Nicole –0.87 Maya claims that the runners’ order of most improved to least improved is Miguel, Joshua, Nicole, Leila, and Kedwin. Which statement describes whether Maya is correct? Maya is correct because she compared each digit in the same place value. Miguel added the most time to his sprint so he is most improved. Maya is incorrect because –0.87 < –0.95 < –0.97. Runners that decrease times are improving, and those that add time are not improving. Maya is incorrect because 1.1 < 1.03. She should switch the order of Joshua and Miguel because Joshua added more time to his run. Maya is incorrect because she listed the runners from least improved to most improved. Runners that decreased times are improving, and those that add time are not improving.

In δabc shown below, ∠bac is congruent to ∠bca: triangle abc, where angles a and c are congruent given: base ∠bac and ∠acb are congruent. prove: δabc is an isosceles triangle. when completed (fill in the blanks), the following paragraph proves that line segment ab is congruent to line segment bc making δabc an isosceles triangle. (4 points) construct a perpendicular bisector from point b to line segment ac . label the point of intersection between this perpendicular bisector and line segment ac as point d: m∠bda and m∠bdc is 90° by the definition of a perpendicular bisector. ∠bda is congruent to ∠bdc by the definition of congruent angles. line segment ad is congruent to line segment dc by by the definition of a perpendicular bisector. δbad is congruent to δbcd by the line segment ab is congruent to line segment bc because consequently, δabc is isosceles by definition of an isosceles triangle. 1. corresponding parts of congruent triangles are congruent (cpctc) 2. the definition of a perpendicular bisector 1. the definition of a perpendicular bisector 2. the definition of congruent angles 1. the definition of congruent angles 2. the definition of a perpendicular bisector 1. angle-side-angle (asa) postulate 2. corresponding parts of congruent triangles are congruent (cpctc)