| A | B |
|---|
| Classify the following statement as always, sometimes, or never true. Two lines perpendicular to the same line are perpendicular. | Never |
| Classify the following statement as always, sometimes, or never true. If P,Q and R are noncollinear, only one line can be drawn through P parallel to QR. | Always |
| Classify the following statement as always, sometimes, or never true. Two lines that are not parallel intersect. | Sometimes |
| Given line 1 with the equation y=1/2x-4 and the point P(-2,-1) find the coordinates of point I such that PQ is the distance for the point P to line I. | Q(-0.4,-4.2) |
| Fill in the blanks. A quadrilateral with exactly two parallel sides is called a(n) ___ and the parallel sides are called the ___. | Trapezoid; Bases |
| A(n)___ is a type of proof that uses arows to sho the logical connections of the statements. | Flow proof |
| Sketch trapezoid WXYZ with bases WX and YZ. What must be true about angle X and angle Y? Justify your conclusion. | Angle X and Angle Y are supplementary since WX||YZ; if two parallel lines are intersected by a transversal, then same-side interior angles are supplementary. |
| Can you make any conclusions about <Y and <Z? Explain why or why not. REFER TO THIS QUESTION "Sketch trapezoid WXYZ with bases WX and YZ. What must be true about angle X and angle Y? Justify your conclusion." | Yes; angle Y and angle Z are not supplementary. If they were, WZ and XY would have to be parallel and WXYZ would not be a trapezoid. (They may, however be congruent.) |
| A trapezoid___has two parallel sides. Answer with always, sometimes or never. | always |
| The legs of a trapezoid are___the same length. Answer with always, sometimes or never. | sometimes |
| Is it possible to sketch a trapezoid with three acute angles? If not tell why. | No, it is not possible. Angles of a trapezoid consist of two pairs of supplementary angles. Two acute angles cannot be supplementary, so a trapezoid cannot have three acute angles. |
| Is it possible to sketch a trapezoid with two right angles? If not tell why. | Yes, it is possible. |
| A corollary of a theorem is a statement that can be easily proved using the theorem. Explain how the corollary of the Triangle Sum Theorem follows from the theorem. "In a triangle, there can be at most one obtuse or right angle." | If a triangle contained more than one angle with measure 90 degrees or greater, then the sum of the measures of the three angles would be greater that 180 degrees. Therefore, if one angle is right or obtuse, the other two angles must be acute in order for the angle sum to be exactly 180 degrees. |
| Answer with sometimes always or never. "Two lines that are parallel are__coplanar." | sometimes |
| Answer with sometimes always or never. "Two lines that intersect are___coplanar" | sometimes |
