# (Solved): QUESTION 1 (1)/() 1.1 A parallelogram is defined as a quadrilateral in which both pairs of opposite ...

QUESTION 1

`(1)/()`

1.1 A parallelogram is defined as a quadrilateral in which both pairs of opposite sides are parallel. What pre-knowledge concepts would Grade 10 learners need to know before learning parallelogram theorems? 1.2

`ABCD`

is a parallelogram with

`A(B)/(/)CD`

and

`A(D)/(/)BC`

. Show that 1.2.1

`AB=CD`

and

`AD=BC`

1.2.2

`hat(A)=hat(C)`

and

`hat(B)=widehat(D)`

1.2.3 Design a memorandum from a mathematics-based perspective. You should carefully think through the allocation of the marks. Please present your work neatly and for each mark that you give in the solution, give a reason/explanation, so that somebody else who marks the problem according to your memorandum will understand clearly for what the marks are allocated. 1.3 Misconceptions are often discarded as mistakes. 1.3.1 Give FOUR examples of misconceptions that learners might have in response to question 1.2. 1.3.2 Discuss how you would help a learner to remedy the misconceptions that you have mentioned in question 1.3.1. [30]n

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