Advertisements
Advertisements
Question
Give a definition of the following term. Are there other terms that need to be defined first? What are they, and how might you define them?
perpendicular lines
Advertisements
Solution
Yes, we need to understand terms like point, line, ray, angle, plane, circle, and quadrilateral before defining the required terms.
Two lines in the same plane, p and q, are considered perpendicular if they make a right angle and are written as p ⊥ q.

APPEARS IN
RELATED QUESTIONS
Give a definition of the following term. Are there other terms that need to be defined first? What are they, and how might you define them?
line segment
If a point C lies between two points A and B such that AC = BC, point C is called a mid-point of line segment AB. Prove that every line segment has one and only one mid-point.
How many least number of distinct points determine a unique line?
How many lines can be drawn through both of the given points?
How many lines can be drawn through a given point.
Given three distinct points in a plane, how many lines can be drawn by joining them?
The statements that are proved are called axioms.
Attempts to prove Euclid’s fifth postulate using the other postulates and axioms led to the discovery of several other geometries.
Solve the following question using appropriate Euclid’s axiom:
Look at the figure. Show that length AH > sum of lengths of AB + BC + CD.

Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have ∠1 = ∠3 and ∠2 = ∠4. Show that ∠A = ∠C.

