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Eleanor Roosevelt High School Chin-Sung Lin. Mr. Chin-Sung Lin ERHS Math Geometry.

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Presentation on theme: "Eleanor Roosevelt High School Chin-Sung Lin. Mr. Chin-Sung Lin ERHS Math Geometry."— Presentation transcript:

1 Eleanor Roosevelt High School Chin-Sung Lin

2 Mr. Chin-Sung Lin ERHS Math Geometry

3 1.a line segment congruent to a given line segment 2.an angle congruent to a given angle 3.the bisector of a given line segment 4.the bisector of a given angle 5.a line perpendicular to a given line through a given point on the line 6.a line perpendicular to a given line through a given point not on the line Mr. Chin-Sung Lin ERHS Math Geometry

4 1.a line segment congruent to a given line segment 2.an angle congruent to a given angle 3.the bisector of a given line segment 4.the bisector of a given angle 5.a line perpendicular to a given line through a given point on the line 6.a line perpendicular to a given line through a given point not on the line 7.a line parallel to a given line at a given point Mr. Chin-Sung Lin ERHS Math Geometry

5 Construct a line parallel to a given line at a given point P Mr. Chin-Sung Lin ERHS Math Geometry A B

6 Construct a line parallel to a given line at a given point P Mr. Chin-Sung Lin ERHS Math Geometry A B R

7 Construct a line parallel to a given line at a given point P T Mr. Chin-Sung Lin ERHS Math Geometry A B R S U

8 Construct a line parallel to a given line at a given point P T Mr. Chin-Sung Lin ERHS Math Geometry A B R S U Q

9 Construct a line parallel to a given line at a given point P T Mr. Chin-Sung Lin ERHS Math Geometry A B R S U Q C D

10 Mr. Chin-Sung Lin ERHS Math Geometry

11 A locus is the set of all points that satisfy a given condition or set of conditions A point P is a point of the locus if and only if P satisfies the given conditions of the locus Mr. Chin-Sung Lin ERHS Math Geometry

12 Find points equidistant from points A and B Mr. Chin-Sung Lin ERHS Math Geometry B A

13 Find points equidistant from points A and B Locus: The locus of points equidistant from two fixed points is the perpendicular bisector of the segment determined by the two points Mr. Chin-Sung Lin ERHS Math Geometry P B A Q

14 Find points equidistant from the intersecting lines AB and CD Mr. Chin-Sung Lin ERHS Math Geometry D A C B

15 Find points equidistant from the intersecting lines AB and CD Locus: The locus of points equidistant from two intersecting lines is a pair of angle bisectors that bisect the angles formed by the intersecting lines Mr. Chin-Sung Lin ERHS Math Geometry D A C B

16 Find points equidistant from the parallel lines AB and CD Mr. Chin-Sung Lin ERHS Math Geometry D A C B

17 Find points equidistant from the parallel lines AB and CD Locus: The locus of points equidistant from two parallel lines is a third line, parallel to the given lines and midway between them Mr. Chin-Sung Lin ERHS Math Geometry D A C B d d

18 Find points that are at distance d from the line AB Mr. Chin-Sung Lin ERHS Math Geometry B A

19 Find points that are at distance d from the line AB Locus: The locus of points at a fixed distance from a line is a pair of lines, each parallel to the given line and at the fixed distance from the given line Mr. Chin-Sung Lin ERHS Math Geometry B d d A

20 Find points that are at a distance d from the fixed point A Mr. Chin-Sung Lin ERHS Math Geometry A

21 Find points that are at a distance d from the fixed point A Locus: The locus of points at a fixed distance from a fixed point is a circle whose center is the fixed point and whose radius is the fixed distance Mr. Chin-Sung Lin ERHS Math Geometry A d

22 Towns A and B are 16 miles apart. How many points are 10 miles from town A and 12 miles from town B? Mr. Chin-Sung Lin ERHS Math Geometry

23 City A and city B are 10 km apart. How many points are equidistant from both cities and 7 km from city A? Mr. Chin-Sung Lin ERHS Math Geometry

24 How many points are equidistant from x- and y-axis, and are 5 units from the origin? Mr. Chin-Sung Lin ERHS Math Geometry

25 P is on a line m. How many points are 3 cm from line m and 5 cm from P? Sketch and identify them. Mr. Chin-Sung Lin ERHS Math Geometry m P

26 Quadrilateral ABCD is a parallelogram. What is the locus of points equidistant from AB and CD and also equidistant from AB and BC Mr. Chin-Sung Lin ERHS Math Geometry

27 Mr. Chin-Sung Lin ERHS Math Geometry

28 Mr. Chin-Sung Lin ERHS Math Geometry

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