Rob is a geologist. he is surveying a conical crater that was created by a meteor impact. from one end to another, the crater forms a v shape. the deepest part of the crater is 400 feet deep. the depth of the crater varies at a rate of 0.25 foot with the horizontal distance from the west end of the crater the equation that models the depth of the crater, d, in feet, with respect to the horizontal distance in feet from the west end of the crater, h, is d =(1) the depth of the crater is 250 feet at horizontal distances of (2) and (3) feet from the west end (1) 0.25|x-400|-1,600 |x-0.25|-400 |x-400|-0.25 0.25|x-1,600|-400 (2) 600 800 1,000 1,200 (3) 1,800 2,000 2,200 2,400

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)