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3.6 Perpendiculars & Distance 4.1 Classifying Triangles

3.6 Perpendiculars & Distance 4.1 Classifying Triangles. First & Last Name February 7, 2014 ______Block. The distance from a line to a point not on the line is the length of the segment perpendicular to the line from the point. C. A. B.

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3.6 Perpendiculars & Distance 4.1 Classifying Triangles

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  1. 3.6 Perpendiculars & Distance4.1 Classifying Triangles First & Last Name February 7, 2014 ______Block

  2. The distance from a line to a point not on the line is the length of the segment perpendicular to the line from the point. C A B

  3. 1. Draw the segment that represents the distance from P to AB. P B A

  4. By definition, two parallel lines do not intersect. An alternate definition states that two lines in a plane are parallel if they are everywhere equidistant. • The distance between two parallel lines is the distance between one of the lines and any point on the other line. • Theorem: In a plane, if two lines are equidistant from a third line, then the two lines are parallel to each other.

  5. 2. Find the distance between the parallel lines x=4 and x=-2.

  6. 3. Find the distance between the parallel lines y=8 and y=-5.

  7. 4. Find the distance between the parallel lines l and mwhose equations are and,respectively.

  8. 5. Find the distance from the line to the point .

  9. Classifying Triangles by Angles • Acute Triangle: all of the angles are acute • Obtuse Triangle: one angle is obtuse • Right Triangle: one angle is right • Equiangular Triangle: an acute triangle with all angles congruent

  10. Classifying Triangles by Sides • Scalene Triangle: no two sides are congruent • Isosceles Triangle: at least two sides are congruent • Equilateral Triangle: all of the sides are congruent

  11. 6. Identify the indicated triangle in the figure. • Isosceles triangles • Scalene triangles

  12. 7. Find x and the measure of each side of equilateral triangle RST if

  13. 8. The points C(2,2), E(-5,3), and D(3,9) form a triangle. Find the measures of each side and classify the triangle by sides.

  14. Exit Slip • Find the measures of the sides of triangle TWZ with vertices at T(2,6), W(4, -5), and Z(-3,0). Classify the triangle. • Find the length of each side. • Find the distance between each pair of parallel lines. • Draw a triangle that is isosceles and right. M 2x-5 3x-9 N J x-2

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