Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–8) Main Idea and Vocabulary Example 1:Reflect a Figure Over the x-Axis Example 2:Reflect.

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Presentation transcript:

Splash Screen

Lesson Menu Five-Minute Check (over Lesson 11–8) Main Idea and Vocabulary Example 1:Reflect a Figure Over the x-Axis Example 2:Reflect a Figure Over the y-Axis

Main Idea/Vocabulary reflection Graph reflections on a coordinate plane.

Example 1 Reflect a Figure Over the x-Axis Triangle ABC has vertices A (2, 4), B (0, 7), and C (–2, 2). Graph the figure and its reflected image over the x-axis. Then find the coordinates of the reflected image. A is 4 units from the axis. B is 7 units from the axis. C is 2 units from the axis. Graph triangle ABC on a coordinate plane. Then count the number of units between each vertex and the x-axis.

Example 1 Reflect a Figure Over the x-Axis Make a point for each vertex the same distance away from the x-axis on the opposite side of the x-axis and connect the new points to form the image of triangle A′B′C′. Answer: The coordinates are A′ (2, –4), B′ (0, –7), and C′ (–2, –2).

1.A 2.B 3.C 4.D Example 1 Triangle DEF has vertices D (2, 3), E (5, 3), and F (5, 6). Graph the figure and its reflected image over the x-axis. Then find the coordinates of the reflected image. A.B. C.D.

Example 2 Reflect a Figure Over the y-Axis Quadrilateral RSTV has vertices R (2, 3), S (–1, 5), T (–3, 0), and V (3, –4). Graph the figure and its reflected image over the y-axis. Then find the coordinates of the reflected image. R is 2 units from the axis. S is 1 unit from the axis. T is 3 units from the axis. V is 3 units from the axis. Graph quadrilateral RSTV on a coordinate plane. Then count the number of units between each vertex and the y-axis.

Example 2 Reflect a Figure Over the y-Axis Make a point for each vertex the same distance away from the y-axis on the opposite side of the y-axis and connect the new points to form the image of quadrilateral R′S′T′V′. Answer: The coordinates are R′ (–2, 3), S′ (1, 5), T′ (3, 0) and V′ (–3, –4).

1.A 2.B 3.C 4.D Example 2 Quadrilateral WXYZ has vertices W (2, 2), X (1, 3), Y (0, 3) and Z (3, –1). Graph the figure and its reflected image over the y-axis. Then find the coordinates of the reflected image. A.B. C.D.

End of the Lesson

Resources Five-Minute Check (over Lesson 11–8) Image Bank Math Tools Multiply Positive and Negative Integers

1.A 2.B 3.C 4.D Five Minute Check 1 (over Lesson 11-8) A.A(–0.5, 0), B(–2, –4), C(1, –4) B.A(0, –0.5), B(–4, –2), C(–4, 1) C.A(1, –4), B(0.5, 0), C(–4, –2) D.A(–4, –2), B(–0.5, 0), C(1, –4) Translate triangle ABC 3 units right and 5 units down. Give the new vertices of triangle A′B′C′.

1.A 2.B 3.C 4.D Five Minute Check 2 (over Lesson 11-8) A.M(0, 1), N(4, 0), Q(–4, 0), P(4, –4) B.M(0, 0), N(0, 4), Q(–4, 0), P(–4, 4) C.M(0, 4), N(0, 0), Q(–4, 0), P(–4, 4) D.M(0, 0), N(4, 0), Q(–4, 0), P(–4, 4) A rectangle has the vertices M(4, –2), N(4, 2), Q(0, –2), and P(0, 2). Find the vertices of the rectangle after a translation of 4 units left and 2 units up.

1.A 2.B 3.C 4.D Five Minute Check 3 (over Lesson 11-8) A.(–2, 4) B.(2, –4) C.(4, –2) D.(–4, 2) Quadrilateral WXYZ is translated 4 units left and 3 units down. Find the coordinate W′.

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