Similar Triangles (Grade 10)

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Similar Triangles

1. 
A triangle with vertices A, B, and C has the following side length and angle measures: [math]AB = 10[/math], [math]m ang A = 34°[/math], and [math]m ang B = 55°[/math]. A triangle with vertices P, Q, and R has the following side length and angle measures: [math]PQ = 15[/math], [math]m ang P = 34°[/math], and [math]m ang Q = 55°[/math]. These two triangles must be similar.
  1. True
  2. False
2. 
A triangle with vertices E, F, and G has the following angle measures: [math]m ang E = 85°[/math] and [math]m ang F = 19°[/math]. A triangle with vertices J, K, and L has the following angle measures: [math]m ang J = 85°[/math] and [math]m ang K = 76°[/math]. These two triangles must be similar.
  1. True
  2. False
3. 
A triangle with vertices J, K, and L has the following side length and angle measure: [math]JK = 10[/math] and [math]m ang J = 49°[/math]. A triangle with vertices P, Q, and R has the following side length and angle measure: [math]PQ = 5[/math] and [math]m ang P = 49°[/math]. These two triangles must be similar.
  1. True
  2. False
4. 
A triangle with vertices C, D, and E has the following side lengths: [math]CD = 25[/math], [math]DE = 30[/math], and [math]CE = 15[/math]. A triangle with vertices W, X, and Y has the following side lengths: [math]WX = 5[/math], [math]XY = 3[/math], and [math]WY = 6[/math]. These two triangles must be similar.
  1. True
  2. False
5. 
A triangle with vertices D, E, and F has the following side lengths: [math]DE = EF = 5[/math]. A triangle with vertices P, Q, and R has the following side lengths: [math]PQ = QR = 15[/math]. These two triangles must be similar.
  1. True
  2. False
6. 
If [math]Delta ABC \ ~ \ Delta A'B'C'[/math], [math]AB = 3[/math], [math]A'B' = 9[/math], and [math]BC = 5[/math], what is the value of [math]B'C' ?[/math]
  1. [math]11[/math]
  2. [math]15[/math]
  3. [math]5/3[/math]
  4. [math]25[/math]
7. 
In [math]Delta FGH[/math], [math]m ang G = 73°[/math] and [math]m ang F = 42°[/math]. If [math]Delta F'G'H' \ ~ \ Delta FGH[/math], find [math]m ang H'[/math].
  1. 65°
  2. 42°
  3. 73°
  4. Not enough information.
8. 
If [math]Delta TUV \ ~ \ Delta T'U'V'[/math] and [math](TU)/(T'U') = 3/2[/math], determine the value of [math](U'V')/(UV)[/math].
  1. [math]9/4[/math]
  2. [math]3/2[/math]
  3. [math]2/3[/math]
  4. Not enough information.
9. 
If [math]Delta LMN \ ~ \ Delta L'M'N',[/math] [math]LM = 3[/math], and [math]MN = 4[/math], what is the value of [math]L'N' ?[/math]
  1. 5
  2. 4
  3. 3
  4. Not enough information.
10. 
In [math]Delta QRS[/math], [math]m ang S = 105°[/math]. In [math]Delta Q'R'S'[/math], where [math]Delta QRS \ ~ \ Delta Q'R'S'[/math], [math]m ang R' = 34°[/math]. Determine [math]m ang Q[/math].
  1. 71°
  2. 34°
  3. 41°
  4. Not enough information

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