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Tenth Grade (Grade 10) Similar and Congruent Figures Questions

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Grade 10 Similar and Congruent Figures
If ΔABC≅ΔEFG, which of the following is true?
  1. ∠C≅∠E
  2. ¯AC≅¯EG
  3. ¯BC≅¯GE
  4. ∠A≅∠F
Grade 10 Similar and Congruent Figures
Which of the following is not a necessary condition for two solids to be congruent?
  1. The corresponding edges are congruent.
  2. The volumes are equal.
  3. The corresponding angles are congruent.
  4. The corresponding faces are congruent.
Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.B.5
In ΔABC, AC=x+6 units, AD=x units, and DB=x+28 units. What is the value of x?
Right Triangle ABCD
  1. x=2
  2. x=-18
  3. x=94
  4. x=-132+12√193
Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.A.3
In ΔEFG, m∠F=5° and m∠G=76°. In ΔTUV, m∠T=99° and m∠U=76°. Which of the following is correct?
  1. ΔEFG ~ ΔTUV
  2. ΔEFG ~ ΔUVT
  3. ΔEFG ~ ΔTVU
  4. ΔEFG ~ ΔVUT
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