Coordinate geometry and describing movementIB MYP Maths Standard: Mind map

Exam questions on Coordinate geometry and describing movement

1. $ABCD$ is a rectangle with its sides parallel to the axes on a Cartesian plane. $A$ is $(-2,3)$, $B$ is $(4,3)$ and $C$ is $(4,-1)$. One unit on each axis is $1$ cm.
   Describe the translation that maps $A$ onto $C$, in terms of movement right or left and up or down.2 marks
2. Triangle $P$ has vertices $(1,2)$, $(4,2)$ and $(1,6)$ on a Cartesian plane.
   Triangle $Q$ has vertices $(6,2)$, $(9,2)$ and $(6,6)$. Describe the movement that maps $P$ onto $Q$, and explain why $P$ and $Q$ are congruent.2 marks
3. Triangle $T$ has vertices $(0,0)$, $(2,0)$ and $(0,3)$. Triangle $U$ has vertices $(0,0)$, $(6,0)$ and $(0,9)$. Triangle $V$ has vertices $(0,0)$, $(4,0)$ and $(0,5)$.
   Show that triangle $T$ and triangle $U$ are similar, and state the scale factor of the enlargement from $T$ to $U$.3 marks