Consider the following statement: There exists a pair of straight lines that are everywhere equidistant from one another. Is this statement a

2

(a)

State any two Eulis's axioms.

2

(a)

State any two Euclid's axioms.

2

(a)

In the given figure AC = DC, CB = CE, Show that AB = DE.

Write Euclid's axiom to support this.

2

(a)

In the given figure, we have AB=AD and AC=AD. Prove that AB=AC. State the Euclid's axiom to support this.

2

(a)

Ram and Ravi have the same weight. If they each gain weight by 2kg, how will their new weights be compared?

2

(a)

Solve the equation x+4=10 and state Euclid's axiom used.

2

(a)

In a triangle PQR, X and Y are the points on PQ are QR respectively. If PQ = QR and QX = QY, Show that PX = RY.

2

(a)

In the given figure, we have AB = BC, BX = BY. Show that AX = CY. State the axiom used.

2

(a)

How many planes can be made to pass through
(i) Three collinear points.
(ii) Three non-collinear points.

2

(a)

Show that of all the line segments drawn from a given point to a line, not on it, the perpendicular line segment is the shortest.

2

(a)

State playfair's axiom. Is it equivalent to one of the Euclid's postulate.

2

(a)

In figure, AE = DF, E is the mid-point of AB and F is the mid-point of DC. Using an Euclid's axiom, show that AB = DC.

2

(a)

In the given figure, if AB = CD, then prove that AC = BD. Also write the Euclid's axiom used for proving it.

2

(a)

In the given figure, if \(OX=\frac{1}{2}XY, PX=\frac{1}{2}XZ\) and OX = PX, Show that XY = XZ.

2

(a)