Name two pairs of congruent angles in the figure belowi’m sooo confused

Choice A

Angle EIG = Angle FIH; Angle EIF = Angle GIH

Note the square angle markers. They tell the reader "this angle is 90 degrees". So we see that angle EIG and angle FIH are each 90 degrees; therefore, they are congruent (aka equal) angles. This narrows the answer between choice A or choice B.

Let's say that angle EIF is x degrees. This would make angle FIG to be 90-x because EIF and FIG must add to 90. Let angle GIH be y degrees. This means that FIG is 90-y degrees (for similar reasons as before). So angle FIG is both 90-x and 90-y forcing x = y to be true. Ultimately, this means that angle EIF and angle GIH are the same measure. So that's why the final answer is choice A.

step-by-step explanation:

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step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)