Transformations from instructions

instructions for transformations

Basic terminology

notation

vocab of transformation

100

I will draw on the board the picture

100

translate the triangle down 3

see board

100

the figure formed by two rays or line segments

angle

100

single lower case letter (ie a) notates what

a line or line segment

100

Object that is reflected (like a mirror) over some axis

reflection

200

I will draw on the board the picture

200

rotate the rectangle 90

see board

200

a line with only one defined endpoint that extends infinitely in the other direction

ray

200

two letters (generally uppercase) notate what

a ray or line segments

200

object moved up, down left or right

translation

300

I will draw on the board the picture

300

reflect the rectangle over x and y axis

see board

300

Something that has been PROVEN using know definitions and previously proven statements (builds on itself)

theorem

300

something notated by a single capital letter

point

300

this transformation is a motion of a certain space that preserves at least one point. It can describe, for example, the motion of a rigid body around a fixed point.

rotation

400

I will draw on the board the picture

400

reflect the triangle over the line y=x

see board

400

A statement taken to be true

axiom or postulate

400

an image post transformation is notated by.. and called (verbally)

a' or a prime

400

translations change what about the shape

the location

500

I will draw on the board the picture

500

translate triangle down 2, right 3 and reflect over the line y=x

500

a statement that can be written in the form “p if and only if q.” This means “if p, then q” and “if q, then p.”

biconditional statement

500

Notated by three capital letters (ie ABC) (we haven't talked about this yet but try to guess!)

a triangle

500

Dilations increase or decrease by what

a constant factor

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