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determine which 2 triangles are similar to eachother a. HIJ ~ LMK b. NOP ~ LMK c. NOP ~ QSR d. HIJ ~ QSR

User Kstrauss
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1 Answer

4 votes

Triangle ΔHIJ is similar to Δ QSR.

Consider the figures supplied.

In ΔQRS

∠Q=53° and ∠R=90°

Therefore,

∠Q +∠R + ∠S = 180°

53° + 90° + ∠S = 180°

∠S = 37°

Consider the HIJ.

In ΔQRS

∠I=37° and ∠J=90°

∠I +∠J + ∠H = 180°

37° + 90° + ∠H = 180°

∠H = 53°

The above computation clearly shows that QRS is identical to HIJ.

As a result, QRS is identical to HIJ.

determine which 2 triangles are similar to eachother a. HIJ ~ LMK b. NOP ~ LMK c. NOP-example-1
User Stjepan Rajko
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8.2k points