Chapter 4: Congruent Triangles Lesson 1: Classifying Triangles.
3.6 Perpendiculars & Distance 4.1 Classifying Triangles
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Transcript of 3.6 Perpendiculars & Distance 4.1 Classifying Triangles
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3.6 Perpendiculars & Distance4.1 Classifying Triangles
First & Last NameFebruary 7, 2014
______Block
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• 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
BA
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1. Draw the segment that represents the distance from P to AB.
P
A B
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• 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.
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2. Find the distance between the parallel lines x=4 and x=-2.
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3. Find the distance between the parallel lines y=8 and y=-5.
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4. Find the distance between the parallel
lines l and m whose equations are and ,respectively.
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5. Find the distance from the line to the point .
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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
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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
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6. Identify the indicated triangle in the figure.a. Isosceles triangles
b. Scalene triangles
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7. Find x and the measure of each side of equilateral triangle RST if
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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.
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Exit Slip1. Find the distance
between each pair of parallel lines .
2. Draw a triangle that is isosceles and right.
3. 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.
4. Find the length of each side.
J
M
Nx-2
3x-92x-5