Warm Up Add five more straight lines to make 10.

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Presentation transcript:

Warm Up Add five more straight lines to make 10.

Point Point A or Point B An exact position or location in a given plane. Is represented by a dot and named with a capital letter.

Line The set of points between points P and Q in a plane and the infinite number of points that continue beyond the points. Written as P Q

Line Segment A line with two endpoints. Written as

Ray A line that has one endpoint and continues on forever in the opposite direction.

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

Angle Made up of 2 rays joined together at a common point called a vertex. The angle is

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

Parallel Line Lines in a plane that either do not share any points and never intersect, or share all points. Written as

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…

Degrees The unit of measure for angles.

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

Right Angle An angle that measures 90°.

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

Straight Angle An angle measuring exactly 180°.

Adjacent Angles Two angles that share a common vertex and side. SIDE BY SIDE

Vertical Angles Two angles directly across from each other. They share a common vertex. h f e g

Linear Pair Two adjacent angles that form a straight line. 12

Complementary Angles Two angles that add up to 90 degrees. 1 2

Supplementary Angles Two angles that add up to 180°. 1 2

A B C

Practice (20 minutes) *Use your vocabulary to help you…Check your Answers on the Board!*

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)

* Translations * preimage * image (Slide your image over)

* Reflections (Flip your image over) * preimage* image

* Rotations (Turn your image about a fixed point) * preimage * image

In the figure,  XYZ →  ABC by a reflection. Name the image of X. X Y Z A B C

Parallelogram MATH is transformed to Parallelogram LOVE by a rotation. What is the image of HT? V E A T M H O L EV

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.

Corresponding angles are congruent and corresponding sides are proportional AB DC EF HG Trapezoids ABCD and EFGH are similarABCD ~ EFGH List all congruent angles Write the statement of proportionality

Determine if the polygons are similar. Justify your answer. 4 5 EX NOTE: You must check for corresponding angles to be the same and for the sides to be proportional.