Geometry Chapter 14 Locus and Construction Eleanor Roosevelt

Geometry Chapter 14 Locus and Construction Eleanor Roosevelt High School Chin-Sung Lin

Constructing Parallel Lines ERHS Math Geometry Mr. Chin-Sung Lin

Construction 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 ERHS Math Geometry Mr. Chin-Sung Lin

Construction 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 ERHS Math Geometry Mr. Chin-Sung Lin

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

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

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

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

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

Locus ERHS Math Geometry Mr. Chin-Sung Lin

Locus 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 ERHS Math Geometry Mr. Chin-Sung Lin

Locus: Equidistant from Two Points Find points equidistant from points A and B A ERHS Math Geometry B Mr. Chin-Sung Lin

Locus: Equidistant from Two Points 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 P A ERHS Math Geometry B Q Mr. Chin-Sung Lin

Locus: Equidistant from Two Intersecting Lines Find points equidistant from the intersecting lines AB and CD A C ERHS Math Geometry D B Mr. Chin-Sung Lin

Locus: Equidistant from Two Intersecting Lines 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 A C ERHS Math Geometry D B Mr. Chin-Sung Lin

Locus: Equidistant from Two Parallel Lines Find points equidistant from the parallel lines AB and CD B D A C ERHS Math Geometry Mr. Chin-Sung Lin

Locus: Equidistant from Two Parallel Lines 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 B d A D d C ERHS Math Geometry Mr. Chin-Sung Lin

Locus: At a Fixed Distance from a Line Find points that are at distance d from the line AB B A ERHS Math Geometry Mr. Chin-Sung Lin

Locus: At a Fixed Distance from a Line 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 B d A ERHS Math Geometry d Mr. Chin-Sung Lin

Locus: At a Fixed Distance from a Point Find points that are at a distance d from the fixed point A A ERHS Math Geometry Mr. Chin-Sung Lin

Locus: At a Fixed Distance from a Point 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 A ERHS Math Geometry d Mr. Chin-Sung Lin

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

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

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

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

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

Q&A ERHS Math Geometry Mr. Chin-Sung Lin

The End ERHS Math Geometry Mr. Chin-Sung Lin