1 / 11

1-9: Learning Goals

Practice geometric transformations including translations, rotations, and reflections. Explore Quadrilaterals, Triangles, and Segments. Free downloadable resources available!

alvarador
Download Presentation

1-9: Learning Goals

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Download for free at openupresources.org. 1-9: Learning Goals • Let’s transform some lines.

  2. Download for free at openupresources.org. 1-9-1: Building a Quadrilateral For each diagram, describe a translation, rotation, or reflection that takes line ℓ to line ℓ′. Then plot and label A′ and B′, the images of A and B.

  3. Download for free at openupresources.org. 1-8-1: Building a Quadrilateral • Rotate triangle ABC 90 degrees clockwise around B. • Rotate triangle ABC 180 degrees clockwise round B. • Rotate triangle ABC 270 degrees clockwise around B. • What would it look like when you rotate the four triangles 90 degrees clockwise around B? 180 degrees? 270 degrees clockwise?

  4. Download for free at openupresources.org. 1-8-2: Rotating a Segment • Rotate segment CD 180 degrees around point D. Draw its image and label the image of C as A. • Rotate segment CD 180 degrees around point E. Draw its image and label the image of C as B and the image of D as F. • Rotate segment CD 180 degrees around its midpoint, G. What is the image of C? • What happens when you rotate a segment 180 degrees around a point?

  5. Download for free at openupresources.org. 1-8-2: Rotating a Segment • Rotate segment CD 180 degrees around point D. Draw its image and label the image of C as A. • Rotate segment CD 180 degrees around point E. Draw its image and label the image of C as B and the image of D as F. • Rotate segment CD 180 degrees around its midpoint, G. What is the image of C? • What happens when you rotate a segment 180 degrees around a point?

  6. Download for free at openupresources.org. 1-8-3: A Pattern of Four Triangles • Describe a rigid transformation that takes triangle ABC to triangle CDE. • Describe a rigid transformation that takes triangle ABC to triangle EFG. • Describe a rigid transformation that takes triangle ABC to triangle GHA. • Do segments AC, CE, EG, and GA all have the same length? Explain your reasoning.

  7. Download for free at openupresources.org. 1-8: Lesson Synthesis

  8. Download for free at openupresources.org. 1-9: Lesson Synthesis

  9. Download for free at openupresources.org. 1-9: vertical angles A pair of vertical angles is a pair of angles that are across from each other at the point where two lines intersect. There are two pairs of vertical angles. 1 2 4 3

  10. Download for free at openupresources.org. 1-9: Learning Targets • I can describe the effects of a rigid transformation on a pair of parallel lines. • If I have a pair of vertical angles and know the angle measure of one of them, I can find the angle measure of the other.

  11. Download for free at openupresources.org. 1-9-4: Finding Missing Measurements Points A′, B′, and C′ are the images of 180-degree rotations of A, B, and C, respectively, around point O. Answer each question and explain your reasoning without measuring segments or angles. • Name a segment whose length is the same as segment AO. • What is the measure of angle A′OB′?

More Related