In the graph below what is the line of reflection for triangle xyz and triangle x y z. Determine the line of reflection, which is y = 1.

• In the graph below what is the line of reflection for triangle xyz and triangle x y z Which describes the transformation? Select three options. Which rules could describe the rotation? Select two This means point X is 4 units below the line y = 1. Since the triangle XYZ is reflected across Y-axis, so the x-co-ordinate of each vertex will remain same. By applying the reflection rule (x, y) → (y, x) (x, y) \rightarrow (y, x) (x, y) → (y, x) for a reflection across the line y = x y=x y = x, we determined the new coordinates for X ′ X' X ′, Y ′ Y' Y ′, and Z ′ Z' Z ′. Therefore, knowing the reflected coordinates allows us to easily derive the original point. The reflection is over a horizontal line, so the x-coordinate of X' will be the same as the x-coordinate of X. Click here 👆 to get an answer to your question ️ In the graph below, what is the line of reflection for XYZ and X'Y'Z' ? A. 5 Since all three midpoints are 2, the line of reflection is x=2 . . The fire department is represented by quadrilateral RSTU. __ Additional comment. Feb 5, 2021 · For example, if triangle Δ X Y Z has side lengths 6, 8, and 10, and it is dilated by a factor of 2 1 , triangle Δ X ′ Y ′ Z ′ will have side lengths 3, 4, and 5, maintaining the same ratios and angles. May 25, 2020 · Triangle XYZ is rotated to create the image triangle X'Y'Z'. . This means that the transformation reflects all points across this vertical line. Oct 20, 2023 · Reflecting triangle XYZ over the line y=x creates a mirror image triangle X'Y'Z' where corresponding segments from each point to the line of reflection are congruent and perpendicular. If the triangle is reflected over the line y = 3, what are the coordinates of the image of D?, What is true for an image and a preimage in a reflection? and May 24, 2017 · The first transformation of triangle XYZ to X′Y′Z′ is a Translation 6 units right and 2 units down. We are to find the ordered pair of X'. This occurs because reflecting a point across the y-axis changes the sign of its x-coordinate, leading to the transformation from -10 to 10 while keeping the y-coordinate the same. i. Similarly, this method applies to vertex X as we keep the x-coordinate and change the sign of the y-coordinate during reflection. Aug 3, 2016 · Given triangle XYZ with a point X defined at (4,5), we will reflect this point across the line y = 1. , Consider the two rectangles shown. The second transformation of triangle X′Y′Z′ to X″Y″Z″ is a Reflection across the x-axis. This line is positioned equally, ensuring all distances from the original points to their reflected counterparts are the same. The line of reflection that transforms the point Z(-10, 7) into Z'(10, 7) is the y-axis. Conclusion: The ordered pair for point X' after reflection across the line y = 1 is (1, 5). What are the coordinates of it's image?, The coordinates of the vertices of CDE are C(1, 4), D(3, 6), and E(7, 4). Rather than go to the trouble of considering perpendicular bisectors, you can simply make use of your knowledge of reflection over the axes: (x, y) ⇒ (-x, y) . Thus, the distance is calculated as: Study with Quizlet and memorize flashcards containing terms like Triangle 1 undergoes four different transformations. , in the following graph, triangle abc has been transformed in three different ways, resulting in triangle def, triangle ghi, and triangle jkl. On a coordinate plane, 2 triangles are shown. reflection over the y-axis (x, y) ⇒ (x, -y) . In the graph below, what is the line of reflection for ∆XYZ and ∆X'Y'Z? What is the image of A (3,-1) after a reflection, first across the line y=3, and then across the line x=-1? Study with Quizlet and memorize flashcards containing terms like (-3, -1), (3, 0), The image and the preimage have different orientations. x → x' y → y' and z → z' Hence, A transformation named t maps triangle xyz to triangle x'y'z' the image of y is: y' Aug 3, 2017 · The original coordinates of point X are (− 15, 2) after reflecting across the line y = x. the x-axis B. Determine the vertical distance from point X to the line y = 1: The y-coordinate of point X is 5. Understanding Reflections: When a point (x, y) is reflected over the y-axis, the x-coordinate changes sign while the y-coordinate remains the same. Triangle ABC is translated using the rule (x, y) → (x + 1, y − 4) to create triangle A′B′C′. Study with Quizlet and memorize flashcards containing terms like Which image is a reflection of the black polygon in quadrant I?, What is the equation for the line of reflection?, Triangle XYZ is reflected across the y-axis, and X = (4, -5). Oct 24, 2022 · In the graph given, the line of reflection for the triangle XYZ and triangle X'Y'Z' is x=2. What transformation maps Oct 2, 2024 · An example of reflection would be the point (1, 2) being reflected over the x-axis to become (1, − 2). The second triangle has points X prime (2, negative 2), Y prime (negative 1, negative 1), Z prime (0, negative 4). Calculate the vertical distance from point X to the line y = 1. Find Point X': To find the new y-coordinate of point X', we add the same distance (4 units) above the line y = 1: y X ′ = y l in e + Distance = 1 + 4 = 5. and more. The first triangle has points X (negative 2, 2), Y (1, 2), Z (0, 4). Triangle XYZ is shown on the coordinate plane below: If triangle XYZ is reflected across the line y = 1 to create triangle X′Y′Z′, what is the ordered pair of X′? Choose matching definition (x, y) → (−x, y), (x, y) → (x + 1, y + 1) Feb 6, 2023 · The line y=0 is the x-axis. Since we know that if any triangle xyz is transformed to x'y'z' then the vertices of the triangle x is transformed to x' , y is transformed to y' and z is transformed to z'. The results of these transformations are shown. Identify the line of reflection: The line y = 1 is a horizontal line, meaning it runs from left to right at a height of 1 on the y-axis. If we draw a line segment from point X of the original triangle to the reflecting line and from point X' of the ⇒ \Rightarrow ⇒ Δ X ′ Y ′ Z ′ \Delta X'Y'Z' Δ X ′ Y ′ Z ′ is result of 270 ° 270\text{\textdegree} 270 ° rotation in the clockwise direction and about the origin of Δ X Y Z \Delta XYZ Δ X Y Z or we rotate Δ X Y Z \Delta XYZ Δ X Y Z at an angle of 270 ° 270\text{\textdegree} 270 ° in the clockwise direction and about Study with Quizlet and memorize flashcards containing terms like Which image is a reflection of the black polygon in quadrant I?, What is the equation for the line of reflection?, Triangle XYZ is reflected across the y-axis, and X = (4, -5). Determine the line of reflection, which is y = 1. This property applies equally to all points of the triangle in their reflections. Another fire department is opening in a different Jun 8, 2017 · The co-ordinates of the vertices of ΔXYZ are X(3, -1), Y(4, -4) and Z(1, -2). Triangle X prime Y prime Z prime has vertices at X prime negative 5 comma negative 4, Y prime at negative 2 comma negative 4, and Z Study with Quizlet and memorize flashcards containing terms like lesson 6, match each type of transformation with the correct description of that transformation. Which statement best describes one of these transformations?, Triangle ABC was translated to form A'B'C'. Thus, the new coordinates of point X' are (1, 5). x= A city grid of Anytown, USA is shown on the grid below. This means that: (x, y) → (-x, y) Triangle XYZ is shown on the coordinate plane below: If triangle XYZ is reflected across the line y = 1 to create triangle X′Y′Z′, what is the ordered pair of X′? (3, 3) About us Oct 20, 2023 · The process of reflecting a triangle XYZ over the line y=x transforms it to another triangle (X'Y'Z'). Feb 21, 2019 · The line of reflection for the figures XYZ and X'Y'Z' is x = 2. Aug 22, 2017 · Hence, the image of y is y'. What are the coordinates of X' ? and more. The y-coordinate of point X is -3, and the line is at y = 1. Therefore, the correct answer is x=2 . e. If a line segment is drawn from point A to point A′ and from point B to point B′, which statement would best describe the line segments drawn? Study with Quizlet and memorize flashcards containing terms like In the graph below, point D is reflected across the y-axis. The triangle XYZ and its reflection X'Y'Z' across the line y = 1 is shown in the attached figure. In this reflection, each point of the original triangle moves to a point in its mirror image on the other side of the line y=x. Triangle XYZ is shown on the coordinate plane below: If triangle XYZ is reflected across the line y = 1 to create triangle X′Y′Z′, what is the ordered pair of X′? (4, −3) Triangle DEF is translated using the rule (x, y) → (x − 2, y − 3) to create triangle D′E′F′. Given, the coordinates of the triangle XYZ are: X = (4,5) Y = (6,3) Z = (3,2) and the coordinates of the triangle X'Y'Z' are: X' = (0,5) Y' = (-2,3) Z' = (1,2) for image of the triangle XYZ to get reflected and become X'Y'Z', reflection of axis takes place. The line of reflection is the x-axis. The y-coordinate of X' will be the same distance from the line of reflection as the y-coordinate of X, but on the opposite side. To find the coordinates of point X' after triangle XYZ is reflected about the y-axis, we need to understand how reflections work in the coordinate plane. the y-axis C. The reflection process switches the x and y values of the point. reflection over the x-axis ← Sep 13, 2023 · To reflect point X(1, -3) across the line y = 1, follow these steps: Identify the original point coordinates, which are (1, -3). Since the y-coordinate of X is -2, and the line of reflection is at y = -5, the y-coordinate of X' is -2 Sep 29, 2020 · Figure XYZ is reflected about the y-axis to obtain figure X’Y’Z’: A coordinate plane is shown Triangle XYZ has vertices X at 5 comma negative 4, vertex Y at 2 comma negative 4, and Z at 4 comma negative 1. zxlbo nsuxe tugb ahtoxt jdjnbv tlroz rsmbt yvenv xtvazz kmzofdv