Solve the equation a – 15 = 25 and state which axiom do you use here?
Ram and Ravi have the same weight. If they each gain weight by 2 kg, how will their new weights be compared?
If A, B and C are three points on a line, and B lies between A and C as shown in
figure, then prove that AB + BC = AC.
If a point C be the mid-point of a line segment AB, then write the relation among AC, BC and AB.
How many lines do pass through two distinct points?
In the given figure, if AB = CD, then prove that AC = BD. Also, write the Euclid’s axiom used for proving it.
Define: (a) Square (b) Perpendicular lines
In the given figure, name the following:
(i) Four collinear points
(ii) Five rays
(iii) Five line segments
(iv) Two-pairs of non-intersecting line segments.
In the given figure, AC = DC and CB = CE. Show that AB = DE. Write the Euclid’s axiom to support this.
Define each of the following terms
i. Angle ii. Line segment iii. Radius of a circle
What is Euclid’s fifth postulate?
Mohan and Sohan have the same weight. If they each gain weight by 2 kg, how will their new weights be compared?
The Euclidean geometry is valid only for figures in the _______.
Euclid’s fourth axiom says that _______.
Axioms are assumed
(c) Universal truths specific to geometry
(d) Universal truths in all branches of mathematics
Which of the following needs a proof?
It is known that if x + y = 10 then x + y + z = 10 + z. Euclid’s axiom that illustrates this statement is
(a) First Axiom
(b) Second Axiom
(c) Third axiom
(d) Fourth Axiom
“Lines are parallel if they do not intersect” is stated in the form of
The things which are double of the same thing are
(c) double of the same thing
(d) halves of the same thing
Which of the following statements are true?
(a) Only one line can pass through a single point.
(b) There is an infinite number of lines which pass through two distinct points.
(c) A terminated line can be produced indefinitely on both the sides
(d) If two circles are equal, then their radii are unequal.