Question

problem #5 - unit 1 (medium)
a. find a shape congruent to shape a.
b. name another pair of congruent shapes.
problem #6 - unit 1 (spicy)
identify the only shape which is not congruent to any other shape in the grid

Explanation:

Step1: Recall congruent - shape definition

Congruent shapes have same size and shape.

Step2: Analyze Problem #5 - a

By comparing side - lengths and overall shape of A with other shapes in the grid of Problem #5, we find that shape D has the same size and shape as A.

Step3: Analyze Problem #5 - b

In the grid of Problem #5, shapes C and E have the same size and shape, so they are a pair of congruent shapes.

Step4: Analyze Problem #6

In Problem #6, by comparing side - lengths and angles of all shapes, we see that shape F has a different shape (it is a square - like shape at an angle) compared to others. While shapes B, C, G are squares and A, D, E are rectangles of similar proportion, shape F is distinct and not congruent to any other.

Answer:

a. D
b. C, E
Problem #6: F