Similar Triangles and AA (Grade 10)

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Similar Triangles and AA

1. 
In [math]Delta ABC[/math], [math]m ang A = 88°[/math] and [math]m ang B = 33°[/math]. In [math]Delta FGH[/math], [math]m ang F = 88°[/math] and [math]m ang G = 59°[/math]. Which of the following is correct?
  1. [math]Delta ABC \ ~ \ Delta FHG[/math]
  2. [math]Delta ABC \ ~ \ Delta FGH[/math]
  3. [math]Delta ABC \ ~ \ Delta HGF[/math]
  4. These two triangles are not similar.
2. 
In [math]Delta CDE[/math], [math]m ang C = 35°[/math] and [math]m ang E = 100°[/math]. In [math]Delta XYZ[/math], [math]m ang X = 100°[/math] and [math]m ang Y = 45°[/math]. Which of the following is correct?
  1. [math]Delta CDE \ ~ \ Delta XYZ[/math]
  2. [math]Delta CDE \ ~ \ Delta ZYX[/math]
  3. [math]Delta CDE \ ~ \ Delta ZXY[/math]
  4. [math]Delta CDE \ ~ \ Delta YZX[/math]
3. 
In [math]Delta EFG[/math], [math]m ang F = 5°[/math] and [math]m ang G = 76°[/math]. In [math]Delta TUV[/math], [math]m ang T = 99°[/math] and [math]m ang U = 76°[/math]. Which of the following is correct?
  1. [math]Delta EFG \ ~ \ Delta TUV[/math]
  2. [math]Delta EFG \ ~ \ Delta UVT[/math]
  3. [math]Delta EFG \ ~ \ Delta TVU[/math]
  4. [math]Delta EFG \ ~ \ Delta VUT[/math]
4. 
In [math]Delta DEF[/math], [math]m ang D = 50°[/math] and [math]m ang E = 63°[/math]. In [math]Delta RST[/math], [math]m ang R = 50°[/math] and [math]m ang S = 65°[/math]. Which of the following is correct?
  1. [math]Delta DEF \ ~ \ Delta RST[/math]
  2. [math]Delta DEF \ ~ \ Delta SRT[/math]
  3. [math]Delta DEF \ ~ \ Delta RTS[/math]
  4. These two triangles are not similar.
5. 
In [math]Delta BCD[/math], [math]m ang B = 53°[/math] and [math]m ang D = 74°[/math]. In [math]Delta LMN[/math], [math]m ang L = 53°[/math] and [math]m ang M = 53°[/math]. Which of the following is correct? Choose all correct answers.
  1. [math]Delta BCD \ ~ \ Delta LMN[/math]
  2. [math]Delta BCD \ ~ \ Delta MLN[/math]
  3. [math]Delta BCD \ ~ \ Delta LNM[/math]
  4. [math]Delta BCD \ ~ \ Delta NML[/math]
6. 
In [math]Delta ABC[/math], [math]m ang A = m ang B = 50°[/math]. In [math]Delta WXY[/math], [math]m ang Y = 80°[/math]. Which of the following is correct?
  1. [math]Delta ABC \ ~ \ Delta WXY[/math]
  2. [math]Delta ABC \ ~ \ Delta XYW[/math]
  3. These two triangles are not similar.
  4. These two triangles may or may not be similar, but there is not enough information to be certain.
7. 
[math]Delta DEF[/math] is an isosceles triangle, and [math]m ang D = 68°[/math]. [math]Delta PQR[/math] is also an isosceles triangle, and [math]m ang P = 68°[/math]. Which of the following is correct?
  1. [math]Delta DEF \ ~ \ Delta PQR[/math]
  2. [math]Delta DEF \ ~ \ Delta QRP[/math]
  3. These two triangles are not similar.
  4. These two triangles may or may not be similar, but there is not enough information to be certain.
8. 
[math]Delta HJK[/math] is a right triangle with [math]bar{HK}[/math] as the hypotenuse and [math]m ang H = 53°[/math]. [math]Delta QRS[/math] is also a right triangle, with [math]bar{QS}[/math] as the hypotenuse and [math]m ang S = 37°[/math]. Which of the following is correct?
  1. [math]Delta HJK \ ~ \ Delta QRS[/math]
  2. [math]Delta HJK \ ~ \ Delta SRQ[/math]
  3. These two triangles are not similar.
  4. These two triangles may or may not be similar, but there is not enough information to be certain.
9. 
[math]Delta EFG[/math] is an obtuse isosceles triangle, [math]m ang E = 39°[/math], and [math]bar{EG}[/math] is the longest side. [math]Delta JKL[/math] is also an obtuse isosceles triangle and [math]m ang L = 102°[/math]. Which of the following is correct?
  1. [math]Delta EFG \ ~ \ Delta JKL[/math]
  2. [math]Delta EFG \ ~ \ Delta JLK[/math]
  3. These two triangles are not similar.
  4. These two triangles may or may not be similar, but there is not enough information to be certain.
10. 
[math]Delta ABC[/math] is a right, isosceles triangle and [math]m ang A = 90°[/math]. [math]Delta XYZ[/math] is also a right, isosceles triangle and [math]m ang X = 90°[/math]. Which of the following is correct?
  1. [math]Delta ABC \ ~ \ Delta XYZ[/math]
  2. [math]Delta ABC \ ~ \ Delta ZYX[/math]
  3. These two triangles are not similar.
  4. These two triangles may or may not be similar, but there is not enough information to be certain.

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