Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line...
-
Upload
patience-stokes -
Category
Documents
-
view
212 -
download
0
Transcript of Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line...
![Page 1: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/1.jpg)
Lesson 10-9 Pages 456-459
Reflections
![Page 2: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/2.jpg)
What you will learn!
How to identify figures with line symmetry and graph reflections on a
coordinate plane.
![Page 3: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/3.jpg)
Line SymmetryLine SymmetryLine of symmetryLine of symmetryReflectionReflection
![Page 4: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/4.jpg)
What you really need to know!
![Page 5: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/5.jpg)
What you really need to know!
A type of transformation where a figure is flipped over a line of symmetry is a reflection.
![Page 6: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/6.jpg)
What you really need to know!To draw the reflection of a polygon, find the distance from each vertex of the polygon to the line of symmetry. Plot the new vertices the same distance from the line of symmetry but on the other side of the line. Then connect the new vertices to complete the reflected image.
![Page 7: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/7.jpg)
![Page 8: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/8.jpg)
Example 1:
Determine whether each figure has a line of symmetry. If so, copy the figure and draw all the lines of symmetry.
![Page 9: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/9.jpg)
Example 2:
Determine whether each figure has a line of symmetry. If so, copy the figure and draw all the lines of symmetry.
![Page 10: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/10.jpg)
Example 3:
Determine whether each figure has a line of symmetry. If so, copy the figure and draw all the lines of symmetry.
No symmetry
![Page 11: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/11.jpg)
Example 4:
Quadrilateral QRST has vertices Q(–1, 1), R(0, 3), S(3, 2), and T(4, 0). Find the coordinates of QRST after a reflection over the x-axis. Then graph the figure and its reflected image.
![Page 12: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/12.jpg)
R
Q
S
T
R’
Q’
S’
T’
Q (-1,1)
R (0,3)
S (3,2)
T (4,0)
Q’ (-1,-1)
R’ (0,-3)
S’ (3,-2)
T’ (4,0)
![Page 13: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/13.jpg)
Vertices ofVertices ofQuadrilateral Quadrilateral QRSTQRST
DistanceDistancefrom from xx--
axisaxis
Vertices ofVertices ofQuadrilateral Quadrilateral
QQRRSSTT
QQ(–1, 1)(–1, 1) 11 Q’ (-1,-1)Q’ (-1,-1)RR(0, 3)(0, 3) 33 R’ (0,-3)R’ (0,-3)SS(3, 2)(3, 2) 22 S’ (3,-2)S’ (3,-2)TT(4, 0)(4, 0) 00 T’ (4,0)T’ (4,0)
![Page 14: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/14.jpg)
Example 5:
Triangle XYZ has vertices X(1, 2), Y(2, 1), and Z(1, –2).
Find the coordinates of XYZ after a reflection over the y-axis. Then graph the figure and its reflected image.
![Page 15: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/15.jpg)
X
Y
Z
Y’
X’
Z’
X (1,2)
Y (2,1)
Z (1,-2)
X’ (-1,2)
Y’ (-2,1)
Z’ (-1,-2)
![Page 16: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/16.jpg)
Vertices of Vertices of XYZXYZ
DistanceDistancefrom from yy-axis-axis
Vertices ofVertices ofXXYYZZ
XX(1, 2)(1, 2) 11 X’ (-1,2)X’ (-1,2)YY(2, 1)(2, 1) 22 Y’ (-2,1)Y’ (-2,1)ZZ(1, –2)(1, –2) 11 Z’ (-1,-2)Z’ (-1,-2)
![Page 17: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/17.jpg)
Page 458
Guided Practice
#’s 3-6
![Page 18: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/18.jpg)
![Page 19: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/19.jpg)
A (5,8)
B (1,2)
C (6,4)
![Page 20: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/20.jpg)
W (-4,-2)
X (-4,-3)
Y (-2,4)
Z (-2,-1)
![Page 21: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/21.jpg)
Pages 456-457 with someone at home and study
examples!
Read:
![Page 22: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/22.jpg)
Homework: Page 458-459
#’s 7-17 all
#’s 20-27 all
Lesson Check Ch 10
![Page 23: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/23.jpg)
![Page 24: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/24.jpg)
F
E
D (-3,6)
E (-2,-3)
F (2,2)
G (4,9)
![Page 25: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/25.jpg)
T
U V
T’
U’ V’
T (-6,1)
U (-2,-3)
V (5,-4)
![Page 26: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/26.jpg)
Q (2,-5)
R (4,-5)
S (2,3)
Q’ (-2,-5)
R’ (-4,-5)
S’ (-2,3)
![Page 27: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/27.jpg)
H
I
J
K
J’
I’
H’
K’
H (-1,3)
I (-1,-1)
J (2,-2)
K (2,2)
H’ (1,3)
I’ (1,-1)
J’ (-2,-2)
K’ (-2,2)
![Page 28: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/28.jpg)
![Page 29: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/29.jpg)
![Page 30: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/30.jpg)
Study Guide and Review
Pages
462-464
#’s 6-22(Odd answers in back of book)
![Page 31: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/31.jpg)
![Page 32: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/32.jpg)
![Page 33: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/33.jpg)
![Page 34: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/34.jpg)
![Page 35: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/35.jpg)
![Page 36: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/36.jpg)
![Page 37: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/37.jpg)
Prepare for Test!
Page
465
#’s 1-16
![Page 38: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/38.jpg)
![Page 39: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/39.jpg)
Prepare for Test!
Pages
466-467
#’s 1-17
![Page 40: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/40.jpg)
![Page 41: Lesson 10-9 Pages 456-459 Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.](https://reader035.fdocuments.us/reader035/viewer/2022070403/56649f2b5503460f94c46586/html5/thumbnails/41.jpg)