Question 4
Is your new house after this transformation congruent to the original house? Explain
your answer.
No, it is not congruent to the original house. Congruent shapes have the same size and shape, and the transformation of the house has changed its size and shape, making it no longer congruent to the original house.
To determine if the new house is congruent to the original house after a transformation, we need to confirm if the shapes of the two houses are the same and if their sizes, angles, and distances between corresponding points remain unchanged.
To compare the congruence of the two houses, you need to:
1. Identify the type of transformation that was applied to the original house. Common transformations include translation, rotation, reflection, and dilation.
2. Determine if the transformation preserves the shape of the house. For example:
- If it was a translation, the shape of the house remains the same, and all corresponding points are shifted by the same amount in the same direction.
- If it was a rotation, the shape of the house remains the same, but the angles and distances between corresponding points may change.
- If it was a reflection, the shape of the house remains the same, but it is flipped across a line (mirror image) resulting in reversed orientations.
- If it was a dilation, the shape of the house remains the same, but the sizes are either enlarged or reduced proportionally.
3. Compare corresponding points on the original and transformed houses after determining the type of transformation. Look at the angles and distances between these points to determine if they are preserved or changed.
Based on the analysis of the transformation, you can then conclude whether or not the new house is congruent to the original house.
To determine if the new house after the transformation is congruent to the original house, we need to analyze the properties of congruent figures. Two figures are congruent if they have the same size and shape.
Since you have not provided any information about the specific type of transformation or the changes made to the house, I cannot provide a specific answer. To determine if the new house is congruent to the original, you need to compare the corresponding sides and angles of both figures. If all corresponding sides are equal in length and all corresponding angles are equal in measure, then the two houses would be congruent. If any of the sides or angles differ in measure, then the two houses would not be congruent.