Question

1. to prove that quadrilateral rice is a rectangle, which of the following should be proven congruent? a) (overline{ri}congoverline{ic},overline{ic}congoverline{ce}) c) (overline{ic}congoverline{ce},overline{rc}congoverline{ie}) b) (overline{re}congoverline{ic},overline{ri}congoverline{ce}) d) (overline{rc}congoverline{ie},overline{re}congoverline{ic}) 15. to prove that triangle abc is a scalene triangle which of the following should be proven? a) (overline{ab}congoverline{ba}) b) (overline{ab}congoverline{bc}congoverline{ac}) c) (overline{ab}congoverline{bc}) d) (overline{ab}

eqoverline{bc}
eqoverline{ac})

Explanation:

14.

Step1: Recall the property of a rectangle

A rectangle is a parallelogram with congruent diagonals. In quadrilateral \(RICE\), if \(RE\) and \(IC\) are diagonals (\(RE\) connects \(R\) and \(E\), \(IC\) connects \(I\) and \(C\)) and \(RI\) and \(CE\) are another pair of sides. For a parallelogram, opposite sides are congruent. If \(RE\cong IC\) (diagonals) and \(RI\cong CE\) (opposite sides), then by the property that a parallelogram with congruent diagonals is a rectangle.

15.

Step1: Recall the definition of a scalene triangle

A scalene triangle is a triangle in which all three sides have different lengths. In terms of line - segment notation, if \(\overline{AB}
eq\overline{BC}
eq\overline{AC}\), then \(\triangle ABC\) is scalene.

Answer:

1. B
2. D