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7. In the figure below mP < mzX. What conclusion can you make using the Hinge Theorem? A. QR< YZ B. QR> YZ C. PQ = XY D. PR = XZ

8. In AABC and AXYZ, AB = XY, BC =YZ, and mzB> mzY. What statement describe the relationship between AC and XZ? A. AC XZ B. AC> XZ C. AC< XZ D. AC XZ

9. Which inequality describes the possible values of x? %3D A. x<30 B. x> 30 C. x < 120 D. x> 120


7 In The Figure Below MP Lt MzX What Conclusion Can You Make Using The Hinge Theorem A QRlt YZ B QRgt YZ C PQ XY D PR XZ 8 In AABC And AXYZ AB XY BC YZ And MzBg class=

Sagot :

✏️ANSWER

  • 7) A. QR <YZ
  • 8) A. AC >XZ
  • 9) C. X < 120

✏️SOLUTION

7) According the Hinge Theorem, if two sides of one triangle are congruents to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of first triangle is longer than the third side of the seconds triangle.

Because of <P < <X

PQ = XY

PR = XZ

So the Correct Answer is QR <YZ.

_______________________

8) According to the Hinge Theorem.

WN = QR

NY = RS

<N > <R

So the Correct Answer is AC > XZ.

________________________

9) The sum of two sides is greater than the third side, the sum of the two sides is less than the third side.

8 - 4 = 4 8 + 4 = 12

4 < X <12

So the Correct Answer is X < 120.

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