![]() ![]() The sample included 322 mathematics teachers, who responded to a questionnaire designed to elucidate how they were thinking reflectively about their teaching practice. This study aimed to examine in-service math teachers’ reflective thinking skills in the context of how they are applied to their understanding of their teaching practices. This is also important for students’ ability to solve problems in class, as well as the challenges facing them and their societies in the future. Hence, point (x, y) is reflected across the y axis (-x, y).Mathematics teachers must be able to engage in self-reflection and think constructively about their professional activities to instruct students effectively. On comparing A(7, 4) with C(-7, 4), it is observed that the y-coordinate is the same but the signs of the x coordinate are opposite.Hence, the reflection of the point A(7, 4) across the x -axis is B 7, -4.Hence, the point (x, y) is reflected across the x axis (x, -y). On comparing A(7, 4) with B(7, -4), it is observed that the x-coordinate is the same but the signs of the y coordinate are opposite.In terms of reflections, describe the relationship between the given point and point A(7,4). For the image, take the opposite sign of each y-coordinate of the vertices. Then, in the coordinate plane, draw the design. To create the design, the designer reflects the hexagon in the X-axis. Point D is 3 units to the right of the y -axis so point D’ is 3 units to the left of the y -axis.įor a reflection in the y-axis, the points of the figure and the corresponding points of the reflected image are aligned horizontally. Points A and E are 2 units to the right of the y -axis, so plot A’ and E’ are 2 units to the left of the y -axis and points B and C are 4 units to the right of the y -axis so plot B’ and C’ are 4 units to the left of the y -axis. Point D is 5 units above the x-axis so, plot D’ will be 5 units below the x -axis.įor reflection in the x-axis, the points of the figure and the corresponding points of the reflected image are aligned vertically. Points C and E are 4 units above the x -axis so plot C’ and E’ are 4 units below the x -axis. ![]() Points A and B are 2 units above the x -axis so plot A’ and B’ will 2 units below the x -axis. Draw the figure and its reflection in the x-axis and the y-axis, respectively. As we can see from that, the green figure is not a reflection of the blue figure.Ī (2, 2), B (4, 2), C (4, 4), D (3, 5), and E (2, 4) are the vertices of a pentagon. If the green figure were flipped, it would point to the left. So, the green figure is a reflection of the blue figure. The points of the blue figure and corresponding points of the green figure are equidistant from the line of reflection as well. ![]() The blue figure can be flipped to form the green figure. Determine whether the green figure is a reflection of the blue figure. ![]()
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