A conjecture and the two-column proof used to prove the conjecture are shown.

Mathematics

2 answers:

Archy [21]2 years ago

7 0

The conjecture and the two-column proof used to prove the conjecture are as explained below.

<h3>How to prove transitive property of Congruence?</h3>

Transitive property of congruence states that if one pair of lines or angles or triangles are congruent to a third line or angle or triangle, then it means that the first line or angle or triangle is congruent to the third line or angle or triangle. For example, if ∠A is congruent to ∠ B, and ∠ B is congruent to ∠ C, then we can say that, ∠ A is congruent to ∠ C.

The two column proof to prove the given conjecture are as follow;

Statement 1: S is the midpoint of RT

Reason 1: Given

Statement 2: RS ≅ ST

Reason 2: Definition of midpoint

Statement 3: ST ≅ XY

Reason 3: Given

Statement 4: RS ≅ XY

Reason 4: Transitive property of congruence

Read more about Transitive property of congruence at; brainly.com/question/2416659

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masya89 [10]2 years ago

4 0

Place the answers in this order

AB=CE

CE =AC

transitive property of congruence

definition of isosceles triangle

I included a link with proof that these are the correct answers, I took the test.

I HOPE THIS HELPS & GOOD LUCK <3

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Help please I need help

liberstina [14]

Answer:

15/8

Step-by-step explanation:

Opp/Adj of angle x means Tan x

that would be 15/8

5 0

3 years ago

Line segment Z E is the angle bisector of AngleYEX and the perpendicular bisector of Line segment G F. Line segment G X is the a

Vinil7 [7]

The correct option that depicts the centroid of the triangle is; C. Point A is the center of the circle that passes that passes through the points E, F and G and is the center of the circle that passes through the points X, Y and Z.

<h3>How to interpret the segments formed from Triangle Centroid?</h3>

The center of inscribed circle into the triangle is the point where the angle bisectors of the triangle meet.

The center of the circumscribed circle over the triangle is the point where the perpendicular bisectors of the sides meet.

Line segments ZE, FY and GX are both angle bisectors and perpendicular bisectors of the sides. Thus, the point of intersection of line segments ZE, FY and GX is the center of inscribed circle into the triangle and the center of the circumscribed circle over the triangle.

Inscribed circle passes through the points X, Y and Z. Circumscribed circle passes through the points E, F and G. So, point A is the center of the circle that passes that passes through the points E, F and G and is the center of the circle that passes through the points X, Y and Z.

Thus, the correct option is option C. Point A is the center of the circle that passes that passes through the points E, F and G and is the center of the circle that passes through the points X, Y and Z.

Read more about Triangle Centroid at; brainly.com/question/7644338

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