2. in the diagram, trapezoid pors has ps parallel to qr. also, pq = 7, or = 40, rs = 15, and
ps = 20. if x is the distance between parallel sides ps and or, determine the value of x.
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3. the triangle with side lengths 3, 4 and 5 has the following e
five properties:
its side lengths are integers,
the lengths of its two shortest sides differ by one,
the length of its longest side and the semi-perimeter differ by one,
its area is an integer, and
its perimeter is less than 200.
determine all triangles that have these five properties
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7-8 assignmen
4. in aabc, p =
= 1, and the area of sabc is 360, what is the area of abef?
5. prove the menelaus' theorem
can y’all me with 2, 3 and 4? i have tried for days and i still can’t get it. i think it’s because i don’t have a full grasp of the concepts in the questions

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)