iCoachMath.com: Examples on Segment and Angle Bisectors - Introduction to Geometry - (AK)
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Solved Examples

Curriculum: Alaska Math Grade Level Expectations   Click to change Curriculum

Topic: Introduction to Geometry  Click to change Topic

Lesson: [9] G-1, [10] G-8: Segment and Angle Bisectors  Click to change Lesson

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cc  The midpoint of AB is (- 7, - 1)and one of the end point is A(- 1, 1). Find the coordinates of the other end point.  cc View Solution
cc  Find the measures of DAB and BCD. [Given x = 29.]
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cc  In ΔDCE, EP¯ is the angle bisector of DEC as shown. Find mPEC. [ax - b = 5x - 6 and cx + d = 3x + 4]  cc View Solution
cc  Find the coordinates of the midpoint of XY¯. The endpoints of XY¯ are X(- 1, 9) and Y(8, -6).  cc View Solution
cc  Is DE¯ the segment bisector of AC¯? [Given a = 15 cm and b = 16 cm.]
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cc  SQ→ is the bisector of PSR. Find the mQSR and mPSR. mPSQ = x. [Given x = 79.]  cc View Solution
cc  In the figure, C is the mid point of AB¯ and D is the midpoint of CB¯. If AB¯ = 36 inches and CD¯ = 2x + 1, then find the value of x.
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cc  In the given figure, OC¯ is the angle bisector of AOB and OD¯ is the angle bisector of COB. If AOC= (3y - 2)o and COD = 26o, then find the value of y.
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cc  In the figure shown, AD→ is the angle bisector of BAC, AE→ is the angle bisector of DAC and AF→ is the angle bisector of BAD. If mBAC = 64, then find mFAE.
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cc  In the figure, C is the mid point of AB¯ and D is the midpoint of CB¯. If AB¯ = 40 inches and CD¯ = 2x + 4, then find the value of x.
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cc  OB→ is the angular bisector of AOC. Find the value of k.
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cc  AB→ bisects CAD; mCAB = 35; what is the measure of BAD?  cc View Solution
cc  AB is a line segment whose length is 10cm. P is the mid-point of AB¯. Find the length of AP¯.  cc View Solution
cc  Which of the following is true?  cc View Solution
cc  Is DE¯ the segment bisector of AC¯? [Given a = 18 cm and b = 19 cm.]
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cc  Which of the following is the perpendicular bisector of AB¯?  cc View Solution
cc  S is the midpoint of NR¯. Which of the following is true?  cc View Solution
cc  Find the coordinates of the midpoint of XY¯. The endpoints of XY¯ are X(- 4, 7) and Y(6, -4).  cc View Solution
cc  Identify the angle bisector of ACB.
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cc  OP→ is the bisector of AOB. Find the measure of POB. [Given x = 118]  cc View Solution
cc  CD↔ is the perpendicular bisector of AB¯ at point P. Name two congruent angles.
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cc  SQ→ is the bisector of PSR. Find the mQSR and mPSR. mPSQ = x. [Given x = 78.]  cc View Solution
cc  Which of the following figures show that OC→ is the angle bisector of AOB?
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cc  Select the correct statement / statements.
1. An angle bisector is a line.
2. An angle bisector is a line of symmetry for the two arms.
3. An angle bisector is equidistant from both the arms of the angle it bisects.
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cc  Points A, B, C, D, E are collinear, C is the mid point of AB¯. D is the mid point of AC¯ and E is the midpoint of AD¯. Then find the ratio AEAB.
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cc  The midpoint of AB is (- 5, - 1)and one of the end point is A(- 1, 1). Find the coordinates of the other end point.  cc View Solution
cc  In the figure, C is the mid point of AB¯ and D is the midpoint of CB¯. If AB¯ = 32 inches and CD¯ = 2x + 4, then find the value of x.
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cc  In the given figure, OC¯ is the angle bisector of AOB and OD¯ is the angle bisector of COB. If AOC= (3y - 3)o and COD = 24o, then find the value of y.
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cc  In ΔDCE, EP¯ is the angle bisector of DEC as shown. Find mPEC. [ax - b = 6x - 7 and cx + d = 4x + 5]  cc View Solution
cc  When we bisect an obtuse angle, what type of angles do we get?  cc View Solution
cc  Find the measures of DAB and BCD. [Given x = 28.]
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cc  Identify the correct statement.  cc View Solution
cc  Point C is the midpoint of AB¯. Which of the following is not true?
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cc  Use the marks on the figure to identify the correct statements.
I. AD¯ CD¯
II. ADB BDC
III. AC¯ AD¯
IV. BD¯ AC¯
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cc  In the figure shown, AD→ is the angle bisector of BAC, AE→ is the angle bisector of DAC and AF→ is the angle bisector of BAD. If mBAC = 62, then find mFAE.
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cc  OP→ is the bisector of AOB. Find the measure of POB. [Given x = 122]  cc View Solution
cc  Which figure shows a bisector?
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cc  What is the best name for MN¯ in the figure shown?  cc View Solution
cc  OC→ is the bisector of right angle AOB. mAOC is ...  cc View Solution
cc  OB→ bisects AOC. Find mBOC and mAOC if mAOB is 35°.  cc View Solution
cc  OM→ is angle bisector of ________.  cc View Solution
cc  The coordinates of the place halfway between Fresno (36.7°N, 119.8°W) and Oakland is (37.25°N, 121.05°W). Find the coordinates of Oakland.  cc View Solution
cc  Find the coordinates of the place halfway between Los Angles (34.1°N, 118.2°W) and Napa (38.3°N, 122.3°W)  cc View Solution
cc  OB→ bisects AOC. Select the incorrect statement.
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cc  A compact disc is 12 cm wide at its diameter. The hole in the center is 3 cm wide. Find the value of a.  cc View Solution
cc  A line that is perpendicular to a segment at its midpoint is known as
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cc  Name the lines x, y and z.  cc View Solution
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