Question
Case Study : Ms Anu Gupta teaches mathematics to class 9 in a school. One day she drew a figure on the board in the class. She provided the following clues to the students.
- $AB |\mid CD$
- $O$ is the mid-points of $A D$
Based on the above information, answer the following questions :
1. $\triangle OAB \cong \triangle ODC$ by which of the following congruent condition?
(a) SAS (b) ASA
(c) SSS (d) RHS
2. $\angle AOB =\angle DOC$ holds because:
(a) Alternate angles are equal (b) Corresponding angles are equal
(c) Vertically opposite angles are equal (d) None of these
3. Which of the following is correct?
(a) $\angle A =\angle C$ (b) $\angle B =\angle D$
(c) $\angle B =\angle C$ (d) $\angle AOB =\angle OCB$
4. Which of the following is correct?
(a) $AO = OB$ (b) $AB = OB$
(c) $OD = CD$ (d) $OC = OB$
5. Which of the following is not a congruent condition?
(a) ASA (b) SSS
(c) AAA (d) AAS
