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?
square
Advertisements
Solution
A square is a quadrilateral having all sides of equal length and all angles of the same measure, i.e.,90°. We must know about quadrilateral, side, and angle to define a square.

APPEARS IN
RELATED QUESTIONS
In the following figure, if AC = BD, then prove that AB = CD.

The number of dimensions, a surface has ______.
Boundaries of solids are ______.
Euclid belongs to the country ______.
The things which are double of the same thing are equal to one another.
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have AB = BC, BX = BY. Show that AX = CY.

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

Solve the following question using appropriate Euclid’s axiom:
In the following figure, if OX = `1/2` XY, PX = `1/2` XZ and OX = PX, show that XY = XZ.

Read the following statements which are taken as axioms:
- If a transversal intersects two parallel lines, then corresponding angles are not necessarily equal.
- If a transversal intersect two parallel lines, then alternate interior angles are equal.
Is this system of axioms consistent? Justify your answer.
Read the following two statements which are taken as axioms:
- If two lines intersect each other, then the vertically opposite angles are not equal.
- If a ray stands on a line, then the sum of two adjacent angles so formed is equal to 180°.
Is this system of axioms consistent? Justify your answer.
