8/4/2023 0 Comments Geometry reflection![]() The four cases to consider are shown below. Consider segment PQ that is reflected in a line m to produce P′Q′. To prove the Reflection Theorem, you need to show that a reflection preserves the length of a segment. CASE 2 P and Q are on opposite sides of m.ġ2 Prove it. CASE 1 P and Q are on the same side of m.ġ1 Prove it. NOTE: Isometry is a transformation that is the distance between any two points and the preimage must be the same as the distance between the images of the two pointsġ0 Prove it. If (x, y) is reflected in the y-axis, its image is the point (-x, y). Reflections in the coordinate axes have the following properties: If (x, y) is reflected in the x-axis, its image is the point (x, -y). From the graph, you can see that G is on the line. H (2, 2) in the x-axis Solution: Since H is 2 units above the x-axis, its reflection, H′, is two units below the x-axisħ Example 1: Reflections in a Coordinate Plane H (2, 2) in the x-axis G (5, 4) in the line y = 4Ħ Example 1: Reflections in a Coordinate Plane This transformation is a reflection and the mirror line is the line of reflection.Ī reflection in a line m is a transformation that maps every point P in the plane to a point P′, so that the following properties are true: If P is not on m, then m is the perpendicular bisector of PP′.Ī reflection in a line m is a transformation that maps every point P in the plane to a point P′, so that the following properties are true: If P is on m, then P = P′ĥ Example 1: Reflections in a Coordinate Plane One type of transformation uses a line that acts like a mirror, with an image reflected in the line. ![]() Presentation on theme: "Reflections Geometry."- Presentation transcript: ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |