- Fundamental agreements which are related to geometrical figures.
- Axioms
- Postulates
- both of these
- None of these
- Identify the property of equation: x = x, ∀ x ∈ R
- Transitive
- Reflexive
- Symmetric
- Additive
- Identify the property of equation: x = y, ⇔ y = x, ∀ x, y ∈ R
- Transitive
- Reflexive
- Symmetric
- Additive
- Identify the property of equation: x = y and y = z ⇒ x = z, ∀ x, y, z ∈ R
- Transitive
- Reflexive
- Symmetric
- Additive
- Identify the property of equation: x = y ⇒ x + z = y + z, ∀ x, y, z ∈ R
- Transitive
- Addition
- Subtraction
- Multiplication
- Identify the property of equation: x = y ⇒ x – z = y – z, ∀ x, y, z ∈ R
- Transitive
- Addition
- Subtraction
- Multiplication
- Identify the property of equation: x = y ⇒ xz = yz, ∀ x, y, z ∈ R
- Transitive
- Addition
- Subtraction
- Multiplication
- It is a proposition in which some geometrical tact is stated.
- Corollary
- Theorem
- Hypothesis
- All of these
- It is a fact which readily follows from a proved theorem.
- Corollary
- Theorem
- Hypothesis
- Conclusion
- Three non-collinear points determine a __________________.
- linear
- plane
- slope
- line
- Two distinct points determines a __________-.
- Linea
- Plane
- slope
- line
- One & only one____________ can be drawn from a point not on the line.
- point
- Parallel
- perpendicular
- slope
- If a line cuts two parallel lines, then each pair of_________________ angles and each pair of______________ angles are congruent.
- alternate, corresponding
- alternate, supplementary
- corresponding, complementary
- supplementary, complementary
- Measure of an exterior angle of the triangle is equal to___________ of the measure of the non-adjacent interior angles of the triangle.
- Product
- difference
- sum
- none of these
- In a plane, if a line is perpendicular to each of the two lines, then two lines are________________
- distinct
- parallel
- perpendicular
- None of these
- If a transversal intersect two_______________ lines, the alternate angles so formed are congruent.
- parallel
- distinct
- perpendicular
- None of these
- In_______________ triangle, the bisector of the angle at the vertex is the right bisector of the base.
- equilateral
- Isosceles
- scalene
- right angled
- If a straight line stands on another straight line, the sum of the measure of the two angles so formed is equal to two________________ angles.
- acute
- obtuse
- right
- equal
- If the sum of measure of two adjacent angles is equal to two right angles, the external arms of the angles are in_____________ line.
- intersect
- parallel
- perpendicular
- straight
- If two line intersect each other, then the opposite vertical angles are ________________.
- congruent
- different
- right angles
- straight
- If two sides of a triangle are concurrent, then the angles opposite to these sides are:
- congruent
- different
- right angles
- straight
- An exterior angle of a triangle is___________________ in measure than either of its opposite interior angles.
- equal
- less
- greater
- none of these
- If a transversal intersects two coplanar Ines such that the pair of alternate angles are congruent, then the lines are ________________.
- equal
- parallel
- perpendicular
- straight
- If a transversal intersect two parallel lines, the alternate angles so formed are________________
- different
- straight
- congruent
- right angles
- The sum of the measure of the three angles of a triangle is ___________________.
- 180°
- 100°
- 90°
- 360°
- In_____________ reasoning we deduce particular results from general results
- inductive
- deductive
- demonstrative
- subjective
- The whole framework of deductive reasoning is based on the__________________ elements known as Basics of Reasoning.
- 6
- 5
- 4
- 3
- Fundamental Agreements or Assumptions are of______________ kinds.
- 5
- 4
- 3
- 2
- A proposition (Theorem or Rider) consists of_______________ parts.
- 5
- 4
- 3
- 2
- One theorem Is said to be the converse of another theorem when the_________ is the conclusion of the other.
- Corollary
- Theorem
- Hypothesis
- All of these
- _________________ is the general statement of a geometrical truth which we are going to prove.
- Enunciation
- construction
- Proof
- Given or Data
- Particular statement of the hypothesis according to the figure which we have drawn.
- Enunciation
- construction
- Proof
- Given or Data
- Which statement is true?
- If two lines intersect, then vertical adjacent angles are congruent
- Through a point not on a line, one & only one line can be drawn parallel to the line.
- Sum of the measures of three angles of a triangles may be equal to 180
- In a right angled triangle the acute angles are supplementary,
- In a right angled triangle the acute angles are____________ .
- supplementary
- complementary
- obtuse
- straight
- If two lines intersect, the sum of the measures of the four angles is equal to____________ right angle / angles.
- one
- two
- three
- four
- If a number of straight lines meet at a point, the sum of the measures of the all the angles between successive lines is equal to____________ right angle / angles.
- one
- two
- three
- four
- Bisectors of the two adjacent supplementary angles are__________________- to each other.
- parallel
- perpendicular
- straight
- equal
- The symbol__________ is used for one-one correspondence.
- =
- ↔
- ⇔
- ∼
- _______________ triangle is also equiangular.
- Equilateral
- Isosceles
- Scalene
- right angled
- In a triangle, If one angle is right angle, then other angles are_________ angles.
- acute
- obtuse
- right
- equal
- From a point not on the line,____________ perpendicular/s can be drawn to the line.
- finite
- four
- two
- one & only one
- In a plane, if a line is perpendicular to each of two lines, then the two lines are______________ .
- equal
- parallel
- perpendicular
- none of these
- Every triangle has at least__________ acute angles.
- infinite
- 3
- 2
- 1