Competency 8 Exam Questions

95) Given l 1 || l 2 which of the following is true? A. ∠ 1 and ∠ 8 are congruent and alternate interior angles B. ∠ 2 and ∠ 3 are congruent and corresponding angles C. ∠ 3 and ∠ 4 are adjacent and supplementary angles D. ∠ 3 and ∠ 5 are adjacent and supplementary angles

96. Given the regular hexagon above, determine the measure of angle 1.

97. Given QS ≅ TS and RS ≅ US, prove ∆QRS ≅ ∆TUS. 1) QS ≅ TS1) Given 2) RS ≅ US2) Given 3) ∠ TSU ≅ ∠ QSR3) ? 4) ∆TSU ≅ ∆QSR4) SAS

98. In the figure above, what is the value of x?

99. Line p has a negative slope and passes through point (0,0). If line q is perpendicular to line p, which of the following must be true? A) Line q has a negative y-intercept B) Line q passes through the point (0,0) C) Line q has a positive slope D) Line q has a positive y-intercept

100. What is the slope of any line parallel to the line 2x + 4y = 4?

102. What is the degree measure of an interior angle of a regular 10-sided polygon?

103. Which of the following statements is true about the number of degrees in each angle? A) a + b + c = 180  B) a = e C) b + c = e D) c + d = e

104. What method could be used to prove the above triangles congruent?

105. Which postulate could be used to prove ∆ABD ≅ ∆CED, given BC ≅ DE, ∠ C ≅ ∠ D, and AD ≅ CF?

106. Which theorem can be used to prove ∆BAK ≅ ∆MKA?

110. The above diagram is most likely used in deriving a formula for which of the following? A) the area of a rectangle B) the area of a triangle C) the perimeter of a triangle D) the surface area of a prism

113. If AC = 12, determine BC.

114. Given that QO  NP and QO = NP, quadrilateral NOPQ can most accurately be described as a A) parallelogram B) rectangle C) square D) rhombus

116. Find the distance between (3,7) and (- 3,4).

117. Find the midpoint of (2,5) and (7,-4).

118. Given segment AC with B as its midpoint find the coordinates of C if A = (5,7) and B = (3,6.5).