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4 years ago

Line TS is the perpendicular bisector of QR. Which of the following must be true?

Mathematics

2 answers:

Ann [662]4 years ago

6 0

Answer:

Option A must be true.

Step-by-step explanation:

Leya [2.2K]4 years ago

6 0

Answer:

$\overline{TQ} \cong \overline {TR}$

Step-by-step explanation:

Since, endpoints of a segment are equidistant from any point situated on the perpendicular bisector of that segment.

T is a Point on the perpendicular bisector of segment AB.

$\therefore \overline{TQ} \cong \overline {TR}$

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3 years ago

Kayla wants to find the width, AB, of a river. She walks along the edge of the river 65 ft and marks point C. Then she walks 25

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Answer:

Part A) The triangles ABC and EDC are similar by AAA, because the three internal angles are equal in both triangles

Part B) The width of the river is about $39\ ft$

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

Part A) we know that

In this problem , triangles ABC and CDE are similar by AAA, because its corresponding angles are congruent

m<DCE=m<ACB -----> by vertical angles

m<EDC=m<ABC -----> is a right angle

m<DEC=m<CAB -----> the sum of the internal angles must be equal to 180 degrees

Part B) we know that

The triangles ABC and EDC are similar -------> see Part A

therefore

$\frac{BC}{DC}=\frac{AB}{DE}$

substitute the values and solve for AB

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3 years ago

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Phoenix [80]

Answer:

Annie's height= 49 cm

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3 years ago