Geometry
Questions & Answers
Points, Lines, and Planes a. name two coplaner lines: ED, CB b. Name four coplaner points: CD, EB
Determine by inspecting the matrix (not by any further row reduction) if the columns of the following matrix are line independent. State your reasoning.
2. Three of these shapes are identical except for reflection and/or rotating. Which figure is different from the others? Explain.
Given: ABCDE is a regular pentagon \text { Prove: } \overline{\mathrm{OD}} \cong \overline{\mathrm{OC}}
1. Determine the type(s) of symmetry for each figure. Indicate the line of reflection symmetry and describe the turn symmetries.
A developer decides to build a fence around a neighborhood park, which is positioned on a rectangular lot. Rather than fencing along the lot line, he fences x feet from each of the lot's boundaries. By fencing a rectangular space 141yd² smaller than the lot, the developer saves $432 in fencing materials, which cost $12 per linear foot. How much does he spend ? a. $160 b. $456 c. $3,168 d. The answer cannot be determined from the given information.
3. Using the triangular unit shown as the fundamental area unit, find the area of the following figures.
9) Determine the type of triangle represented if the lengths are a = 4,b = 5 and c = 6.
19 A straight road passes by a hill. The angle of elevation to the top of the hill is measured from three points A, B and C along the road. Point B is between points A and C such that AB = BC = 1200 m. The angle of elevation is 12.5° from point A and point B, and 9.5° from point C. Let h m be the height of the hill. Let Y be the top point of the hill and let X be the point vertically below Y at the same level as the road. a Find AX, BX and CX in terms of h.
