Unit 1: Transformations in the Coordinate Plane Learning Target: Students can know precise definitions of angle, circle, perpendicular line, parallel line,

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Presentation transcript:

Unit 1: Transformations in the Coordinate Plane Learning Target: Students can know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.

Draw six segments that pass through every dot in the figure without taking your pencil off the paper.

What will this unit be about based on this wordle?

Unit 1 Vocabulary

Define and draw examples for as many of the terms as possible on your vocabulary sheet with your partner. Take about 5 minutes.

Angle Formed by 2 rays coming together at a common point (Vertex) The angle is

Circle The set of points on a plane at a certain distance, or radius, from a single point, the center

Arc Length The distance between the endpoints of an arc. Written as d(ABC)

Perpendicular Lines Two lines that intersect at a right angle (90°). Written as

Parallel Lines

Line Segment

Point Point A or Point B An exact position or location in a given plane.

Line

Distance Along a Line The linear distance between two points on a given line.

How far apart are the points on the line segment?

Hmmm…

Right Angle An angle that measures 90°.

Acute Angle An angle measuring less than 90° but greater than 0°.

Obtuse Angle An angle measuring greater than 90° but less than 180°.

One-to-One A relationship wherein each point in a set of points is mapped to exactly one other point.

Pre-image The original figure before undergoing a transformation.

Image The new, resulting figure after a transformation

Isometry A transformation in which the preimage and image are congruent.

Rigid transformations can also be referred to as an ISOMETRY. Every segment is congruent to its image. Transformations are called RIGID if every image is congruent to its preimage.

Which of the following are rigid transformations? (Isometry)

Find the value of each variable, given that the transformation is an isometry.

Congruent Figures are congruent if they have the same shape, size, lines, and angles.

Similar Triangles Triangles are similar if they have the same shape but have different sizes.

CW CW Vocabulary Practice WS