Will give medal instructions: drag the tiles to the boxes to form correct pairs. polygon abcd has sides with these lengths: , ab 5 units; , bc 4 units; , cd 4.5 units; and , ad 7 units. the slope of ab is 5, the slope of bc is 0.25, the slope of cd is -2, and the slope of ad is 0. the polygon is dilated from point a by a scale factor of 1.2 to form polygon a′b′c′d′. match the slopes and lengths of the sides of polygon a′b′c′d′ to their values. tiles: slope of a' b', 8.4, length of c' d', 5.4, length of a' d', 5, slope of b' c', 0.25

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)