Question

a 30-60-90 triangle has shortest leg 10. the hypotenuse is ______
select one:
○ a. $5\sqrt{3}$
○ b. 20
○ c. 5
○ d. $10\sqrt{3}$

—| |— is an example of
select one:
○ a. rotation
○ b. reflection
○ c. translation

Explanation:

First Question:

Step1: Recall 30-60-90 triangle ratio

In a 30-60-90 triangle, the ratio of the shortest leg to the hypotenuse is $1:2$.

Step2: Calculate hypotenuse

Let shortest leg $= 10$, hypotenuse $= 2 \times 10$

A reflection is a transformation that flips a shape over a line, creating a mirror image. The symbol $-| |-$ shows a mirror-like symmetry, matching the definition of reflection. Rotation involves turning a shape around a point, and translation involves sliding a shape without flipping or turning, which do not match the given symbol.

Answer:

b. 20

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Second Question: