10.7 Locus

# 10.7 Locus - 10.7 Locus 10.7 p 642 Locus Locus Definition...

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 10.7 Locus 10.7 p. 642 Locus Locus Definition: the set of all points in a Definition: plane that satisfy a given condition or a set of given conditions. or Plural – Loci Pronounced: “low-sigh” Ex: what is the locus of points that the end of the second hand on a clock forms? on A circle Ex: Draw a line k on a piece of Ex Draw paper. Draw & describe the locus of points on the paper that are 1 cm from the line k. from k 1 cm m 1 cm n 2 lines, m & n, to lines, line k and 1 cm away on either side. on 4 steps to finding a locus steps 1. 2. 3. 4. Draw any figures that are given. Locate several pts that satisfy the Locate condition. condition. Continue until a pattern is Continue recognized. recognized. Draw the locus & describe it in Draw words. words. Finding locus for 2 or more conditions Finding Find the locus for each individual Find condition 1st. condition Then, find the intersection of the Then, conditions. conditions. This intersection is the solution. Ex: Given ΔABC, what is the locus ABC, of points that are =dist from AB & AC and also =dist from A & B? AC =dist ∠ bisector of ∠ A A Intersection of the 2 Intersection lines is the solution. lines B C ⊥ bisector of AB bisector Ex: What is the locus of pts 2 cm Ex What from X & 3 cm from Y? from If XY > 5, locus is 0 pts. X 2 3 Y If XY = 5, locus is 1 pt. If XY < 5, locus is 2 pts. X 2 3 Y X 2 Y 3 Definitions Definitions Epicenter – the pt. on the surface of the earth Epicenter directly above an earthquake’s origin. directly Seismograph – tool that measures distance to Seismograph the epicenter, but not the direction to the epicenter. epicenter. To locate an epicenter, 3 locations for To seismographs are needed. seismographs The place where all 3 circles intersect is the The epicenter. epicenter. Ex: 3 readings from seismographs are as Ex readings follows: at A(2,4) – epicenter is 2 miles away, at B(2,-.5) – epicenter is 2.5 miles away, & at C(-1,2) – epicenter is 3 miles away. Where is the epicenter? the A C (2,2) B Assignment Assignment ...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online