Based on my analysis of "The Similar-Congruent House" worksheet, here are the answers to all the questions:
1.
Which window is congruent to window B?
Window C is congruent to window B. Both are identical squares divided into four smaller squares by a cross pattern.
2.
Is the window on the door congruent to the windows on the roof?
Yes, the window on the door (labeled E) is congruent to the windows on the roof (labeled I, J, and K). All four windows are circles with a cross dividing them into four equal sections and appear to be the same size.
3.
Name one rectangle that is similar to R.
The door (labeled D) is similar to R. Both are rectangles (same basic shape), though they may differ in size. The chimney (L) could also be considered similar as it's also a vertical rectangle.
4.
Name a shape that is similar to M.
Shape N is similar to M. Both are cloud shapes with the same irregular outline.
5.
How many shapes are congruent to M?
There is 1 shape congruent to M, which is N. The clouds M and N appear to be identical in shape and size.
6.
Is P congruent to O?
No, P is not congruent to O. P is part of the tree canopy (an irregular shape), while O is part of the tree trunk (a rectangular shape). They are different shapes entirely.
7.
Is Q similar to R?
Yes, Q is similar to R. Both are rectangles with similar proportions (vertical orientation). In geometry, all rectangles share the same fundamental shape, making them similar.
8.
How many shapes are congruent to S?
Looking at shape S (the ramp/walkway), there appears to be only one such shape in the diagram. The ramp is a unique trapezoidal or parallelogram shape leading to the door, and no other identical shapes are visible in the house diagram. Therefore, there are 0 shapes congruent to S (other than S itself, if counting self-congruence).
9.
Draw two more windows on the house. Make the windows similar, but not congruent.
To draw two more windows that are similar but not congruent, you would need to create windows with the same basic shape (e.g., squares or circles) but different sizes. For example, you could draw a smaller square window somewhere on the house (similar to windows B and C but smaller) and a larger circular window (similar to windows E, I, J, K but larger). This would satisfy the requirement of being similar (same shape) but not congruent (different sizes).
Parent Tip: Review the logic above to help your child master the concept of congruent and similar figures worksheet.
