Coordinate geometry and describing movementIB MYP Maths Standard: Flashcards

What these 14 flashcards ask

What are the coordinates of the origin?
In (x,y), which number comes first and what does it measure?
How many quadrants are there?
Where is (-3,4)?
Distance between (-2,3) and (4,3)?
What is a translation?
How do you describe a translation?
Movement from (-2,3) to (4,-1)?
Translate (4,2) by 5 left and 3 down.
Are translated shapes congruent?
What does congruent mean?
What does similar mean?
Legs 2,3 and legs 6,9: similar?
Are similar shapes always congruent?

Exam questions on Coordinate geometry and describing movement

$ABCD$ 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
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
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

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).