Euclid's Geometry Quiz

How many common points can two distinct intersecting lines l and m, have?

1. any point in common
2. one point in common
3. two points in common
4. three points in common

Answer: (c) two points in common

In the diagram, ΔABC has angle ABD bisecting angle ABC. Given that BD=4 units, CD=6 units, and AB=8 units, find the length of AC.

1. 10 units
2. 12 units
3. 6 units
4. 8 units

Answer: (b) 12 units

In the given figure, if QP = PR and PS = PT,then which statement must be true?

1. QS = RT
2. QR = ST
3. QT = RS
4. PQ = RS

Answer: (d) PQ = RS

If lines AB, AC, AD and AE are parallel to a line l , then what are points A, B, C, D and E?

1. Angle
2. Straight lines
3. Collinear points
4. Non - collinear points

Answer: (c) Collinear points

Which of the following options matches the given statements? 1. AB is a location with no dimensions. 2. CD is a line that has length but no width. 3. EF is a shape with both length and width but no thickness. 4. GH is a three-dimensional object with length, width, and height.

1. Point - Line - Plane - Solid
2. Point - Straight line - Surface - Solid
3. Line - Curve - Surface - Solid
4. Line - Curve - Surface - Plane

Answer: (b) Point - Straight line - Surface - Solid

In the figure given below, it is given that ∠BAC = ∠BCA and ∠DAC = ∠DCA. By which Euclid’s axiom used here to ∠DCA = ∠BCA, then ∠BAC = ∠DAC.

1. 2nd axiom
2. 3rd axiom
3. 1st axiom
4. 4th axiom

Answer: (c) 1st axiom

To solve this equation, a - 15 = 20, which axiom is used?

1. 2nd axiom
2. 1st axiom
3. 3rd axiom
4. 5th axiom

Answer: (a) 2nd axiom

Which statement is true according to Euclid’s second axiom?

1. The things which are equal to the same thing are equal to one another.
2. If equals be added to equals, the wholes are equal
3. If equals be subtracted from equals, the remainders are equal.
4. Things which coincide with one another are equal to one another.

Answer: (b) If equals be added to equals, the wholes are equal

Which of the statements is true? A) Two distinct lines cannot have more than one point in common. B) If a point C lies between two points A and B such that AC = BC, then AC = ½ AB C) A line has two dimensions.

1. Only C
2. Only B
3. Only B and C
4. Only A and B

Answer: (d) Only A and B

In the given figure, we have ∠1 = ∠2, ∠3 = ∠4, then which one of the option is correct?

1. ∠ABC = ∠DBC
2. ∠ABC ≠ ∠DBC
3. ∠BAX = ∠BXC
4. ∠BAX ≠ ∠BXC

Answer: (a) ∠ABC = ∠DBC