Intercept Theorem ✅
The Intercept theorem provides the ratios between the line segments created when two parallel lines are intercepted by two intersecting lines.
It is sometimes called "Thales' Theorem" (not to be confused with another one of his theorems related to inscribed angles, also called Thales' Theorem) after the Greek mathematician to whom the proof is attributed.
PROBLEM
m and n are parallel lines. XC and XB are two intersecting lines that intercept m and n. Show that the following relationship between the lengths of the line segments is true:
XD/XC=XA/XB =DA/CB
and XD/DC=XA/AB
(See Fig.)
#Mathematics
#Intercept_theorem
@Science_Study_Daily
The Intercept theorem provides the ratios between the line segments created when two parallel lines are intercepted by two intersecting lines.
It is sometimes called "Thales' Theorem" (not to be confused with another one of his theorems related to inscribed angles, also called Thales' Theorem) after the Greek mathematician to whom the proof is attributed.
PROBLEM
m and n are parallel lines. XC and XB are two intersecting lines that intercept m and n. Show that the following relationship between the lengths of the line segments is true:
XD/XC=XA/XB =DA/CB
and XD/DC=XA/AB
(See Fig.)
#Mathematics
#Intercept_theorem
@Science_Study_Daily