Congruency and Similarity Review

MATCH the triangles with the correct postulate.

Imagine David and Rohan are on a treasure hunt. They find two mysterious triangles, ∆ABC and ∆XYZ, hidden in an ancient book. The book says, '∆ABC≅∆XYZ'.
What does this clue tell them about the sides of the triangles?

Which shortcuts can be used to determine if two triangles are similar? Select All That Apply!

If two figures are similar, then their corresponding side lengths are proportional. That means that the sides form EQUIVALENT FRACTIONS!

MATCH proportion with the appropriate similar figures. $$\frac{6}{0.9}=\ \frac{18}{h}$$

Find side length X. Enter numbers only!

(a)  

Elijah, Olivia, and Maya are on a treasure hunt in a magical forest. They stumble upon an ancient tree with a treasure chest hanging from its highest branch. To retrieve it, they need to figure out the height of the tree. Can you help them find out how tall the tree is?

Solve for x.