Question 1 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1ad878c526e972caf087.JPG' />
In the above fig, what kind of angles represented by the figure?
Question 2 :
If a transversal intersects two lines such that the bisectors of a pair of corresponding angles are parallel, then the two lines are parallel. True or False.
Question 3 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1dff59b460d7261f4e9.png' />
In the above fig, sides QP and RQ of $\Delta PQR$ are produced to points S and T respectively. If $\angle SPR = 135^{\circ}$ and $\angle PQT = 110^{\circ}$, find $\angle PRQ$.
Question 4 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1d0f59b460d7261f4d3.png' />
In the above figure , ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of $\angle POS$ and $\angle SOQ$, respectively. If $\angle POS = x$, find $\angle ROT$ (in degrees).
Question 5 :
If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles. Is it true?
Question 6 :
If the sum of two adjacent angles is 180°, then the non-common arms of the angles form a line. Is it true?
Question 7 :
If a transversal intersects two lines such that a pair of corresponding angles is equal, then the two lines are parallel to each other. Is it true?
Question 8 :
If a ray stands on a line, then the sum of two adjacent angles so formed is
Question 9 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1ad778c526e972caf086.JPG' />
In the above figure, lines PQ and RS intersect each other at point O. If $ \angle POR $ : $ \angle ROQ$ = 5 : 7, find $ \angle POR$ (in degrees).
Question 10 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1ad778c526e972caf084.JPG' />
In the above fig, what kind of lines are represented by the figure?
Question 12 :
State true or false and justify: The boundaries of the solids are curves.
Question 13 :
Two distinct lines can not have more than ___ point in common.
Question 14 :
State true or false: Playfair’s Axiom is an equivalent version of Euclid’s fifth postulate.
Question 15 :
State true or false and justify: Euclidean geometry is valid only for curved surfaces.
Question 16 :
State true or false: Euclid’s fourth axiom says that everything equals itself.
Question 18 :
State true or false: The Euclidean geometry is valid only for figures in the plane.
Question 19 :
State true or false: Euclid around 300 B.C. collected all known work in the field of mathematics and arranged it in his famous treatise called Elements
Question 20 :
State true or false and justify: Two distinct intersecting lines cannot be parallel to the same line.
Question 21 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1c3f59b460d7261f4c1.PNG' />
State true or false: If $AB\ =\ PQ$ and $PQ\ =\ XY$, then $AB\ =\ XY$.
Question 22 :
State true or false: Two distinct intersecting lines are parallel to the same line.
Question 23 :
Consider two ‘postulates’ given as follows: (i) Given any two distinct points A and B, there exists a third point C which is in between A and B. (ii) There exist at least three points that are not on the same line. What can be said about the consistency of these two statements?
Question 24 :
State true or false: A terminated line can be produced indefinitely on both the sides.
Question 25 :
State true or false: A pyramid is a solid figure, the base of which is a triangle, or square, or some other polygon, and its side faces are triangles converging to a point at the top.
Question 26 :
State true or false: A circle can be drawn with any centre and any radius.
Question 27 :
State true or false: A terminated line can be produced indefinitely.
Question 28 :
State true or false: Things which are equal to the same thing are equal to one another.
Question 30 :
State true or false: Axioms or postulates are the assumptions which are obvious universal truths. They are not proved.
