Introduction to Euclid's Geometry

What is a line?

• A straight set of points that goes on forever in both directions

• A curved set of points that goes on forever in both directions

• A straight set of points that goes on forever in one direction only

• A straight set of points that does not go on forever in either direction

Tags

CCSS.4.G.A.1

'Lines are parallel if they do not intersect' is stated in the form of_____

• An axiom

• A definition 

• A postulate

• A proof

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Euclid stated that all right angles are equal to each other in the form of ?

• Axiom

• Postulate

• definition

• Theorem

Tags

CCSS.8.G.A.5

Area of triangle 1= Area of triangle 2; Area of Triangle 2= Area of triangle 3 then Area of triangle 1= Area of triangle 3 Which is the axiom supporting the given statement

• Things which are equal to the same thing are equal to one another.

• Things which are double of the same things are equal to one another.

• Things which coincide with one another are equal to one another.

• If equals are added to equals, the wholes are equal.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

It is known that if p+q=11 then p+q+r=11+r. The Euclid axioms that illustrates this statement is

• Things which are equal to the same thing are equal to one another.

• Things which are halves of the same things are equal to one another.

• Things which coincide with one another are equal to one another.

• If equals are added to equals, the wholes are equal.

What was Euclid's second postulate ?

• A circle can be drawn with any center and any radius.

• If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of angles is less than two right angles.

• A straight line may be drawn from any one point to any other point.

• A terminated line can be produced indefinitely

Tags

CCSS.4.G.A.1

In geometry, we take point, line and plane as undefined term.

• True

• False

Tags

CCSS.4.G.A.1

There are ________ number of Euclid’s Postulates

• Three

• Four

• Five

‘For every line l and for every point P not lying on l, there exists a_________ m passing through P and parallel to l’

• Not a Unique line

• Unique line

• Line

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

If x + y =10 then x + y + z = 10 + z. Then the Euclid’s axiom that illustrates this statement is:

• Second axiom

• First axiom

• Fourth axiom