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3 years ago

Please help, if you know how to do proofs in Geometry !

Mathematics

1 answer:

Oduvanchick [21]3 years ago

8 0

Step-by-step explanation:

1. T is the midpoint of QR, U is the midpoint of QS, and V is the midpoint of RS.

This is the information given in the problem statement.

2. TU, UV, and VT are midsegments

Midsegments connect midpoints of opposite sides. So TU, UV, and VT are midsegments.

3. TU = ½ RS, UV = ½ QR, and VT = ½ SQ

By Triangle Midsegment Theorem, a midsegment connecting the midpoints of two sides of a triangle is half the length of the third side.

4. TU/RS = 1/2, UV/QR = 1/2, VT/SQ = 1/2

Division property

5. TU/RS = UV/QR = VT/SQ

Transitive property

6. ΔQRS ~ ΔVUT

Since we've shown that the corresponding sides of these triangles are proportional, then by Converse of Similar Triangles Theorem, the triangles must be similar.

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

A ray and a line intersect to form ∠1 and ∠2 as shown below.

Oksi-84 [34.3K]

Answer:

STEP 3

Step-by-step explanation:

Francesca drew point (–2, –10) on the terminal ray of angle , which is in standard position. She found values for the six trigonometric functions using the steps below.

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2 years ago

Find the value of x for the given equation : 2 (x-1) - 6 =24

olasank [31]

Answer:

x = 16

Step-by-step explanation:

2(x - 1) - 6 = 24 ( add 6 to both sides )

2(x - 1) = 30 ( divide both sides by 2 )

x - 1 = 15 ( add 1 to both sides )

x = 16

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2 years ago

Write an equation for the line that is parallel to the given line and that passes through the given point. y = 1/2x - 8; (-6, -1

Allisa [31]

Answer:

y = 1/2x - 14

Step-by-step explanation:

Parallel lines have the same gradient

So,

gradient for second line = gradient of the first line = 1/2

Also,

the line passes through (-6,-17)

So, we can find the y-intercept by substitution

y = mx + c

-17 = (1/2 * -6) + c

-17 = -3 + c

c = -14

So,

the equation is y = 1/2x - 14

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3 years ago

Read 2 more answers