Logan drew Δ ABC on the coordinate plane, and then reflected the triangle over the y-axis to form Δ A'B'C'. Which statement is not true about these two triangles?
A.Δ ABC≅Δ A'B'C'
B. The two triangles have the same angle measures.
C. The vertices of Δ ABC and Δ A'B'C' have the same coordinates.***
D. The triangles have the same side lengths.
Your answer is correct
whats correct???
all answers anyone????????????????
A is the anserw 100%
its b why? cuss it is
The answer C. The vertices of Δ ABC and Δ A'B'C' have the same coordinates.
To determine which statement is not true, we need to understand what happens when a triangle is reflected over the y-axis.
First, let's understand the reflection over the y-axis. When a shape is reflected over the y-axis, every point (x, y) is transformed into its mirror image across the y-axis, which is (-x, y). In other words, the x-coordinate changes sign while the y-coordinate remains the same.
In this case, ΔABC has been reflected over the y-axis to form ΔA'B'C'.
Statement A says that the two triangles are congruent, which means they are identical in shape and size. The reflection over the y-axis does not change the shape or size of the triangle, so statement A is true.
Statement B says that the two triangles have the same angle measures. When a triangle is reflected over the y-axis, the angle measures stay the same. Each angle in ΔABC will have the same measure as the corresponding angle in ΔA'B'C'. Therefore, statement B is also true.
Statement C says that the vertices of ΔABC and ΔA'B'C' have the same coordinates. This statement is not true. When reflecting ΔABC over the y-axis, the x-coordinate of each vertex changes sign. For example, if the original vertex is (2, 3), the corresponding vertex in the reflected triangle will be (-2, 3). Therefore, statement C is false.
Statement D says that the two triangles have the same side lengths. When a triangle is reflected over the y-axis, the lengths of the sides remain the same. The distance between any two points on a line segment does not change when reflected. Therefore, statement D is true.
So, the statement that is not true is C. The vertices of ΔABC and ΔA'B'C' do not have the same coordinates.