In the given figure, ΔABC is the original shape and ΔADE is the transformed shape.
Statement 1: The transformed figure can be obtained from the given set of transformations.
Step 1: Reflection about the x-axis
Step 2: Reflection about the y-axis
Step 3: Reflection about the x-axis
Statement 2: The transformed figure can be obtained from the given set of transformations.
Step 1: 180∘ counterclockwise
rotation about the origin
Step 2: Reflection about the x-axis
Statement 3: The length of the respective sides in the original and the transformed figures will be different.
Statement 4: The angular measurements in the original and the transformed figures will be the same.
Which of the following options is correct?
In the given figure, ΔABC is the original shape and ΔADE is the transformed shape.
Statement 1: The transformed figure can be obtained from the given set of transformations.
Step 1: Reflection about the x-axis
Step 2: Reflection about the y-axis
Step 3: Reflection about the x-axis
Statement 2: The transformed figure can be obtained from the given set of transformations.
Step 1: 180∘ counterclockwise
rotation about the origin
Step 2: Reflection about the x-axis
Statement 3: The length of the respective sides in the original and the transformed figures will be different.
Statement 4: The angular measurements in the original and the transformed figures will be the same.
Which of the following options is correct?
The correct option is C Exactly 3 statements are correct.
Given,
Statement 1: The given set of transformations would obtain the transformed figure.
Step 1: Reflection about the x-axis
Step 2: Reflection about the y-axis
Step 3: Reflection about the x-axis
The given set of transformations are shown in the image given below.
From the image given above, we can say that the transformed figure in the question is obtained by the given set of transformations.
Hence, statement 1 is true.
Given,
Statement 2: The given set of transformations would obtain the transformed figure.
Step 1: 180∘ counterclockwise rotation about the origin
Step 2: Reflection about the x-axis
The given set of transformations are shown in the image given below.
From the image given above, we can say that the transformed figure shown in the question can be obtained from the given set of transformations. Hence, statement 2 is true.
Also, we know that after any transformation such as reflection, rotation, or translation, the preimage and the image have the same side lengths, angle measures, perimeter, and area, but different positions.
Hence, statement 3 is false and statement 4 true.
→ Option D is correct.
Given,
Statement 1: The given set of transformations would obtain the transformed figure.
Step 1: Reflection about the x-axis
Step 2: Reflection about the y-axis
Step 3: Reflection about the x-axis
The given set of transformations are shown in the image given below.
From the image given above, we can say that the transformed figure in the question is obtained by the given set of transformations.
Hence, statement 1 is true.
Given,
Statement 2: The given set of transformations would obtain the transformed figure.
Step 1: 180∘ counterclockwise rotation about the origin
Step 2: Reflection about the x-axis
The given set of transformations are shown in the image given below.
From the image given above, we can say that the transformed figure shown in the question can be obtained from the given set of transformations. Hence, statement 2 is true.
Also, we know that after any transformation such as reflection, rotation, or translation, the preimage and the image have the same side lengths, angle measures, perimeter, and area, but different positions.
Hence, statement 3 is false and statement 4 true.
→ Option D is correct.
