Geometry / ALGEBRA /STAT AND PROB

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Questions and Answers

Which of the following represents a set of points that lie on the same line?

  • Perpendicular lines
  • Parallel lines
  • Collinear points (correct)
  • Coplanar points

What are the basic geometric concepts for which no definitions are given?

  • Undefined terms (correct)
  • Collinear points
  • Perpendicular lines
  • Parallel lines

Which measure indicates the likelihood of an event occurring?

  • Measure of central tendency
  • Probability of an event (correct)
  • Counting techniques
  • Measure of variability

What is the set of all points called?

<p>Space (B)</p> Signup and view all the answers

Which type of triangle has three sides of equal length?

<p>Equilateral triangle (A)</p> Signup and view all the answers

What is the name for points that lie on the same plane?

<p>Coplanar points (A)</p> Signup and view all the answers

What is a quadrilateral called if both pairs of opposite sides are parallel?

<p>Parallelogram (B)</p> Signup and view all the answers

What is a line segment that connects two non-consecutive vertices of a polygon called?

<p>Diagonal (B)</p> Signup and view all the answers

What is the sum of the measures of the interior angles of a polygon with 6 sides?

<p>$720˚$ (C)</p> Signup and view all the answers

What is a quadrilateral called if it is both a rhombus and a rectangle?

<p>Square (A)</p> Signup and view all the answers

What kind of triangle has one right angle with the hypotenuse as the longest side?

<p>Right (A)</p> Signup and view all the answers

What are two or more coplanar circles sharing the same center called?

<p>Concentric circles (A)</p> Signup and view all the answers

Which lines intersect at right angles?

<p>Perpendicular lines (A)</p> Signup and view all the answers

What do you call two angles with a common vertex, a common side, and no common interior points?

<p>Adjacent angles (B)</p> Signup and view all the answers

What is a line segment that connects two non-consecutive vertices of a polygon called?

<p>Diagonal (A)</p> Signup and view all the answers

What is the sum of the measures of the interior angles of a polygon with 6 sides?

<p>720˚ (B)</p> Signup and view all the answers

What is a quadrilateral called if it is both a rhombus and a rectangle?

<p>Square (B)</p> Signup and view all the answers

What kind of triangle has one right angle with the hypotenuse as the longest side?

<p>Right (C)</p> Signup and view all the answers

What is the definition of an exterior angle of a triangle?

<p>An angle that forms a linear pair with one of the triangle's interior angles (B)</p> Signup and view all the answers

Which statement about vertical angles is true?

<p>Their sides form two pairs of opposite rays (A)</p> Signup and view all the answers

What is the sum of the measures of any two remote interior angles of a triangle?

<p>$180^\circ$ (C)</p> Signup and view all the answers

Which postulate states that the alternate interior angles are congruent when parallel lines are cut by a transversal?

<p>Postulate on alternate interior angles (B)</p> Signup and view all the answers

What is the Fundamental Principle of Counting used for?

<p>Counting the number of permutations (B)</p> Signup and view all the answers

What is the formula for linear permutation when n objects are to be arranged r at a time?

<p>$nPr = \frac{n!}{(n-r)!}$ (A)</p> Signup and view all the answers

In how many ways can a committee of 4 be chosen from 6 persons?

<p>$6C4$ (A)</p> Signup and view all the answers

What does the Theoretical Probability formula P(E) = $\frac{n(E)}{n(S)}$ represent?

<p>'Likelihood of occurrence' probability (A)</p> Signup and view all the answers

What is the probability if E is sure to happen?

<p>$P(E) = 1$ (A)</p> Signup and view all the answers

What do perpendicular lines do?

<p>Intersect at exactly $90^\circ$ (A)</p> Signup and view all the answers

What is the definition of an intersecting line?

<p>Coplanar lines having a point in common (C)</p> Signup and view all the answers

What postulate states that if parallel lines are cut by a transversal, then the corresponding angles are congruent?

<p>Postulate on corresponding angles (C)</p> Signup and view all the answers

What type of graph uses rectangles and bars to represent discrete classes of data?

<p>Bar Chart (B)</p> Signup and view all the answers

Which measure of central tendency is affected by extreme scores or outliers?

<p>Mean (D)</p> Signup and view all the answers

What is the square root of the variance of a set of data called?

<p>Standard deviation (D)</p> Signup and view all the answers

Which type of graph is a special type of line graph, where each class frequency is plotted directly above the midpoint or class mark of its class interval?

<p>Frequency Polygon (D)</p> Signup and view all the answers

Which measure of central tendency is the number that occurs most frequently in the set of data?

<p>Mode (B)</p> Signup and view all the answers

What does a pie chart effectively present?

<p>Categorized (qualitative) distributions (A)</p> Signup and view all the answers

Which measure of variation is the difference between the highest and lowest score in a set of data?

<p>Range (C)</p> Signup and view all the answers

Which type of graph uses picture symbols to represent values?

<p>Pictogram (A)</p> Signup and view all the answers

What is a measure of central tendency that may be used in further computations but is not appropriate for skewed distribution?

<p>Mean (A)</p> Signup and view all the answers

What measure of variability gives a unique representative value of the set of data but is affected by extreme scores?

<p>Standard deviation (C)</p> Signup and view all the answers

Which type of graph represents a frequency distribution consisting of a series of vertical columns or rectangles with no spaces between them?

<p>Histogram (D)</p> Signup and view all the answers

What measure of central tendency is most stable from group to group and may be used in further computations?

<p>Mean (A)</p> Signup and view all the answers

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