# Congruent Triangles CAP Activity

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#### Storyboard Text

• Triangle Congruence with Maddie the Mermaid
• Hello! I'm Maddie the Mermaid, and we're going to learn how to prove triangle congruence using my fish friends!
• 10 cm
• 8 cm
• 43 cm
• Both Dory and Marlin here have triangle tails. The longest side of their tail or the hypotenuse have the same length.
• One of the remaining sides or the leg also have the same length, so their fins are congruent due to the Hypotenuse Leg postulate.
• 43 cm
• 8 cm
• 10 cm
• 44 cm
• This squid's head is made of two triangles which share one side. The other two corresponding pairs of sides share the same length. Thus the two triangles are congruent because of the side side side postulate.
• 20 cm
• 20 cm
• 44 cm
• The triangle that makes this whale's tail can be split into two. They both share one side creating a right angle for both triangles. They both also have a equal measure corresponding angles. The non included sides have the same length making them congruent because of the angle angle side postulate.
• 72 cm
• 72 cm
• Theses two sharks fins have the same length on each side. Since it's an equilateral triangle it is also equiangular so they have the same angle measure. Therefore the two triangles are equal because of the side angle side postulate.
• 43 cm
• 43 cm
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