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Laabri

Geometry Measuring Segments

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Last updated 3 months ago
19 Nsɛmmisa
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Complete the following questions as your exit ticket. Show me what you have learned!

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Measure segments on the coordinate plane. Use algebra to calculate lengths of segments.

Postulate: A rule accepted without proof.

Congruent: Equal measure

Expression: Combination of variables, numbers and arithmetic operations. There is no equal sign.

Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Plot the following points in the coordinate plane.

A(1,-1), B(1,1), C(3,-4), D(5,-4)

  • Klik Graph tab (Graph 1, Graph 2, ne nea ɛkeka ho) so ma graph biara a ɛsɛ sɛ wobɔ.
  • Klik graph no akyi na fa asɛm bi ka ho. Twe asɛm bi anaa kyerɛw x ne y coordinates na sesa ne gyinabea. Klik asɛm bi so na popa.
Asemmisa {{asɛmmisaAhyɛnsode}}
2.

In question #2 determine whether

Enter 'yes' or 'no.'

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Plot the following points in the coordinate plane.

A(-7,1), B(-4,1), C(3,-5), D(3,-2)

  • Klik Graph tab (Graph 1, Graph 2, ne nea ɛkeka ho) so ma graph biara a ɛsɛ sɛ wobɔ.
  • Klik graph no akyi na fa asɛm bi ka ho. Twe asɛm bi anaa kyerɛw x ne y coordinates na sesa ne gyinabea. Klik asɛm bi so na popa.
Asemmisa {{asɛmmisaAhyɛnsode}}
4.

In question #4 determine whether

Enter 'yes' or 'no.'

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5.

Find the length of ST.

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6.

Find the length of ST.

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7.

Find the length of ST.

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8.

The 2014 Winter Olympic Games were held in Sochi, Russia. The distance between Washington, D.C. and Rome is about 4480 miles. The distance between Washington, DC and Sochi is about 5500 miles. What is the distance between Rome and Sochi?

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9.

Hint: Write an expression only, this is NOT an equation. You DO NOT have to solve for x!

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10.

Hint: Write an expression only, this is NOT an equation. You DO NOT have to solve for y!

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11.

Point R is between Q and S on line segment QS. Write an equation, then solve for x.

Hint: Sketch a picture and label what you know.

QR=13+2x

RS=12

QS=x+32

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12.

Find BD.

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13.

Graph the following points. Are AB and CD congruent?

A(1,3), B(1,-3), C(3,-2), D(-3,-2)

  • Klik Graph tab (Graph 1, Graph 2, ne nea ɛkeka ho) so ma graph biara a ɛsɛ sɛ wobɔ.
  • Klik graph no akyi na fa asɛm bi ka ho. Twe asɛm bi anaa kyerɛw x ne y coordinates na sesa ne gyinabea. Klik asɛm bi so na popa.
Asemmisa {{asɛmmisaAhyɛnsode}}
14.

For line segment AC, Point B is in between points A and C. Write an equation in terms of x, then solve for x.

AB = 2x+10

BC = x-4

AC = 21

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15.

What is the distance between Provo and Albuquerque?

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16.

EXTENSION:

QU = 240, SU=100 and RS=ST=TU. Find the measure of RS.

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17.

EXTENSION:

QU = 240, SU=100 and RS=ST=TU. Find the measure of RU.

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18.

EXTENSION:

QU = 240, SU=100 and RS=ST=TU. Find the measure of QT.

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19.

Rate your understanding on using algebra to measure segments.