Mathematics, 29.07.2020 14:01, sarah192002

Given: r || s, and t is a transversal that cuts both r and s. Prove: <1 = <5, <2 = <6, <3 = <7, and <4 = <8 Write a paragraph proof to prove that the corresponding angles shown are congruent.

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Lines r and s are parallel as Corresponding Angles given. There are four pairs of corresponding angles: angle 1 and angle 5, angle 2 and angle 6, angle 3 and angle 7, and angle 4 and angle 8. Since r and s are parallel, the slope of r is equal to the slope of s. Since t is a straight line, the slope of t is the same at both intersections, by the definition of a straight line. Thus, the corresponding angles created at both intersections must have the same measure, since the difference of the slopes at each intersection is the same, and the intersections share a common line. So, corresponding angles must have equal measure. Therefore, by definition of congruent angles, corresponding angles are congruent: angle 1 is congruent to angle 5, angle 2 is congruent to angle 6, angle 3 is congruent to angle 7, and angle 4 is congruent to angle 8.

Step-by-step explanation:

PLATO

answered: monica1670

Step-by-step explanation

answer from haven

answered: Guest

step-by-step explanation:

answered: Guest

step-by-step explanation:

it is pretty much backwards.

you take the 4x2 multiply that, and that is = $8

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Given: r || s, and t is a transversal that cuts both r and s. Prove: <1 = <5, <2 = <6, &...