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3 years ago

Write a two-column proof. Given: Triangle ACD is isosceles; <1 is congruent to <3 Prove: Segment AB || Segment CD

Mathematics

1 answer:

Triss [41]3 years ago

5 0

Answer:

AB ║ CD, reason If two lines (AB and CD) and a transversal AD, form alternate interior angles, (∠1 and ∠4) that are congruent, then the two lines are parallel

Step-by-step explanation:

Statement, Reason

Triangle ACD is isosceles, Given

∠1 ≅ ∠3, Given

∠3 ≅ ∠4, Base angles of isosceles triangle

∠1 ≅ ∠4, Substitution

∠1 and ∠4, are alt int. ∠s, Definition

AB ║ CD, Have congruent alternate interior angles

If two lines (AB and CD) and a transversal AD, form alternate interior angles, (∠1 and ∠4) that are congruent, then the two lines are parallel

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3 years ago

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faltersainse [42]

Answer:

( $\frac{1}{3}$ , 3 )

Step-by-step explanation:

Given the 2 equations

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3 years ago

Regular hexagon FGHIJK shares a common shares a common center with square ABCD on a coordinate plane .

timurjin [86]

Answer:

<h3>"The answer is the yellow lines in the attached figure. </h3>

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We are to find the line across which the combined figure will reflect onto itself.

In the attached figure, we see two lines which are yellow in colour. We can easily detect that the figure will be reflected onto itself if these two lines acts as a mirror separately.

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3 years ago

State the gradient of the line perpendicular to the line y=3x-2

kherson [118]

Answer:

-1/3

Step-by-step explanation:

3 is the gradient of the other line

m1×m2=-1 (equation for perpendicular lines)

m1×3= -1