Question

question 2
mayas game testers notice that two hexagonal tiles look like they should match, but the game wont accept them as congruent. both tiles are regular hexagons, but one has sides of 3 cm each while the other has sides of 4.5 cm each. what is the most likely reason the game rejects these tiles?
the tiles are congruent but positioned differently on the screen
one tile is rotated, which changes its congruence
the tiles have different side lengths, so theyre not the same size
the tiles need to be the same color to be congruent
question 3
maya decides to add a hint system to help players understand congruence. she wants to complete this hint:
two shapes are congruent when all and all are corresponding corresponding equal.
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Explanation:

Question 2

Step1: Recall congruent shapes definition

Congruent shapes have equal corresponding sides and angles.

Step2: Analyze tile side - lengths

One tile has side - length \(3\) cm, the other \(4.5\) cm. Different side - lengths.

Step3: Evaluate options

• Option 1: Position doesn't affect congruence.
• Option 2: Rotation doesn't change congruence.
• Option 3: Different side - lengths mean not same size (violates congruence).
• Option 4: Color irrelevant to congruence.

Question 3

Step1: Recall congruent shapes components

Congruent shapes have equal corresponding sides and angles.

Answer:

Question 2

C. The tiles have different side lengths, so they're not the same size

Question 3

Two shapes are congruent when all corresponding sides and all corresponding angles are equal.