14 points!

question 3: you can now set the area of the trapezoid equal to the sum of the areas of the three triangles. which of the following are steps that occur in simplifying the equality? (attached picture)

question 4: a manufacturer has a rectangular sheet of metal measuring 45 inches by 105 inches. which of the following shows the number of school crossing signs that can be cut from this sheet of metal.
a.6
b.7
c.5
d.4

question 5: suppose the carnival's organizer wants to reduce the chances players may win. he decides to reduce the area of the circular disk by half. what is the diameter of the new disk?
a. 4√2 in.
b. 4 in.
c. 2√2 in
d. 2 in

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)