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Tenth Grade (Grade 10) Similar and Congruent Figures Questions

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Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.A.2
Are these two triangles similar?
Triangle ABC: [math]ang A=28°, ang B=91° [/math]
Triangle DEF: [math]ang D=28°, ang E=61° [/math]
  1. Yes, the triangles are similar.
  2. No, the triangles are not similar.
Grade 10 Similar and Congruent Figures
A triangle where [math]ang B = 30°[/math] will be similar to a triangle where [math]ang C = 60°.[/math]
Right Triangle ABC v1
  1. Always
  2. If the side lengths are the same
  3. If they are right triangles
  4. Never
Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.A.3
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]
Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.A.3
[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.
Grade 10 Similar and Congruent Figures
In the following diagram, quadrilaterals ABED and BFDC are both parallelograms. Match the sides or angles which are congruent.
Parallelogram ABCDEF v1
__ [math]bar{AB}[/math] A. [math]ang 2[/math]
__ [math]ang A[/math] B. [math]bar{ED}[/math]
__ [math]ang 1[/math] C. [math]ang E[/math]
__ [math]bar{AC}[/math] D. [math]ang DFE[/math]
__ [math]ang BCA[/math] E. [math]bar{FE}[/math]
Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.A.3
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.
Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.A.2
Are these two triangles are similar?
Triangle 1: A = 125, C = 18
Triangle 2: B = 125, C = 35
Acute Triangle ABC v1Acute Triangle ABC v2
  1. Yes, the triangles are similar.
  2. No, the triangles are not similar.
Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.A.3
[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.
Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.A.3
[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.
Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.A.3
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.
Grade 10 Similar and Congruent Figures
Two triangles with corresponding congruent angles are considered                          .
  1. right
  2. complementary
  3. equilateral
  4. similar
  5. none of these are correct
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