1 / 13

Transformations Review: Symmetry, Reflection, Rotation, and More in Geometry

This chapter reviews essential concepts of geometric transformations, including rotational symmetry of polygons, lines of symmetry for a regular octagon, and transformations such as reflection, rotation, and translation. Through sequential transformations, students will learn to find new coordinates after applying transformations to given points. The chapter also delves into specific cases such as the reflection of triangles and distance calculations to lines of symmetry. By engaging with various geometric figures and their transformations, learners will strengthen their understanding of symmetry and coordinate notation.

archer
Download Presentation

Transformations Review: Symmetry, Reflection, Rotation, and More in Geometry

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. CHAPTER 7 REVIEW:TRANSFORMATIONS

  2. #1) • Does a regular hexagon have rotational symmetry? • If so, list all angles of rotation.

  3. #2) • How many lines of symmetry does a regular octagon have?

  4. #3) • Given A(8, -3), find the location of A’’’’’ after applying the following consecutive composition of transformations. • Reflect over x-axis • Translate along vector < -2, 0 > • Rotate 180° about origin • Reflect over x-axis • Translate along vector < 8 , -1 >

  5. #4) Given B(7 , 2) , find the location of B’’’’’ after the following consecutive composition of transformations. • Rotate 90° clockwise about origin • Reflect over x-axis • Rotate 90° counterclockwise about origin • Reflect over y-axis • Rotate 270° counterclockwise about origin

  6. #5) Given pre-image point at (a , b). Find the location of this point after applying the following consecutive composition of transformations. • Reflect over x-axis • Rotate 180° about origin • Reflect over y-axis • Rotate 90° counterclockwise about origin • Translate along vector < 0 , -7 >

  7. #6) • ΔABC→ ΔDEF by rotation of 180° about the origin. Given that A(-2 , 3) and B(1, -7) , find DE. Answer with a simplified radical.

  8. #7) ΔGHI →ΔG’H’I’ by reflection in the line given by x=-3. Given G(-7, 1) , H(-3, -2) , and I(1 , 4) , find the coordinates of G’, H’, and I’.

  9. #8) Given this isometry, solve for all given variables. w° (8y-6)° 18 101° 42° 3z (2x+19)°

  10. #9) • ΔABC is reflected in line m. The distance from B to line m is 6.5 cm. Find BB’.

  11. #10) Describe each transformation in coordinate notation. • Translation along vector < -6 , 0 > • Translation 3 units left and 4 units up • Translation 10 units down and 3 units right • Translate along < 0 , 8 >

  12. #11) Find the image of segment AB if it is rotated 90° counterclockwise about M. A L B C K D J • M E I F H G

  13. #12) ΔABC → ΔQRS by reflection in line m. If line m has the equation 2x + 5y = 16 , then find the slope of ?

More Related