Use matrix multiplication to find the total cost of equipment for each team. Honors Geometry 4-2: Perform Reflections & Lines of Symmetry Learning Target: By the end of today’s lesson we will be able to successfully reflect a figure in any given line. Reflection Theorem: A reflection is an isometry (rigid motion). Ex 1: The vertices of are 2), 0), and 3). Graph the reflection of described. ABC A(1, B(3, C(5, Δ ΔABC In the line : = 2 b.) In the line = 3 x m: y Ex 2: The endpoints of are and Reflect the segment in the given line. Graph the segment and its image. J(–l, K(l, –2) –2). In the line: = b.) In the line: = y x y –x Coordinate For Reflections – Given point (a,b) If (a, is reflected in: image point is: b) …….its x-axis y-axis = y x = y –x Ex 3: The vertices of are (l, 2), (2, 3), and (4, 1). DEF D E F Δ Find the reflection of in the DEF y-axis. Δ Graph and its image. DEF Δ DEF D’E’F’ Δ Image Matrix Ex 4: The vertices of are (–l, 4), (0, 1), and (2, 3). QRS Q R S Δ →
Use matrix multiplication to find the total cost of equipment for each team. Honors Geometry 4-2: Perform Reflections & Lines of Symmetry Learning Target: By the end of today’s lesson we will be able to successfully reflect a figure in any given line. Reflection Theorem: A reflection is an isometry (rigid motion). Ex 1: The vertices of Δ ABC are A(1, 2), B(3, 0), and C(5, 3). Graph the reflection of ΔABC described. In the line : x = 2 b.) In the line m: y = 3 Ex 2: The endpoints of are J(–l, –2) and K(l, –2). Reflect the segment in the given line. Graph the segment and its image. In the line: y = x b.) In the line: y = –x Coordinate For Reflections – Given point (a,b) If (a, b) is reflected in: …….its image point is: x-axis y-axis y = x y = –x Ex 3: The vertices of Δ DEF are D (l, 2), E (2, 3), and F (4, 1). Find the reflection of Δ DEF in the y-axis. Graph Δ DEF and its image. Δ DEF D’E’F’ Image Matrix Ex 4: The vertices of Δ QRS are Q (–l, 4), R (0, 1), and S (2, 3). →