Priya noticed in the last activity that between the 2 triangles, you only need to know 4 angles to show that they are similar. S
he wondered which fourth angle would work to prove that triangle RST is similar to triangle EFG. Draw a sketch of the triangle. Then pick one angle measurement that would prove the triangles are similar. Explain to Pyria why knowing that angle would be enough.
1 answer:
Answer:
Please find attached a drawing of the triangles ΔRST and EFG showing the angles
The angle on ΔEFG that would prove the triangles are similar is ∠F = 25°
Step-by-step explanation:
In order to prove that two triangles are similar, two known angles of each the triangles need to be shown to be equal
Given that triangle ∠R and ∠S of triangle ΔRST are 95° and 25°, respectively, and that ∠E of ΔEFG is given as 90°, then the corresponding angle on ΔEFG to angle ∠S = 25° which is ∠F should also be 25°
Therefore, the angle on ΔEFG that would prove the triangles are similar is ∠F = 25°.
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