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Similar and Congruent Figures Questions - All Grades

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Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.A.2
Grade 7 Similar and Congruent Figures
What is scale factor?
  1. The number you multiply to get another similar shape
  2. The number of angles in a shape
  3. Congruent angles
  4. A unit rate
Grade 7 Similar and Congruent Figures
Mr. Chang made two similar rectangular window frames. One frame was 12 feet wide and 16 feet long. What could be the dimensions of the other frame?
  1. 2 feet wide and 6 feet long
  2. 6 feet wide and 8 feet long
  3. 16 feet wide and 20 feet long
  4. 24 feet wide and 48 feet long
Grade 8 Similar and Congruent Figures CCSS: 8.G.A.2
Grade 8 Similar and Congruent Figures CCSS: 8.G.A.4
Which relationship is true for the images?

Parallelogram v1Parallelogram v2
  1. They are congruent.
  2. They are similar, but not congruent.
  3. They are neither similar nor congruent.
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 9 Similar and Congruent Figures CCSS: HSG-SRT.A.3
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.
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 8 Similar and Congruent Figures CCSS: 8.G.A.2
Which relationship is true for the images?

Equilateral Triangle ABC v1Equilateral Triangle ABC v2
  1. They are congruent.
  2. They are similar, but not congruent.
  3. They are neither similar nor congruent.
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 8 Similar and Congruent Figures CCSS: 8.G.A.4
Which relationship is true for the images?

Tree - LargeTree - Small
  1. They are congruent.
  2. They are similar, but not congruent.
  3. They are neither similar nor congruent.
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
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 7 Similar and Congruent Figures CCSS: 7.G.A.1
The perimeter of a regular hexagon is 48. If the side length of a similar hexagon is 3 times that of the original hexagon, which statement is true about the similar hexagon?
Hexagon
  1. The perimeter of the similar hexagon is 3 times the perimeter of the original hexagon.
  2. The perimeter of the similar hexagon is 8 times the perimeter of the original hexagon.
  3. The perimeter of the similar hexagon is 11 times the perimeter of the original hexagon.
  4. The perimeter of the similar hexagon is 24 times the perimeter of the original hexagon.
Grade 8 Similar and Congruent Figures CCSS: 8.G.A.4
Which relationship is true for the images?

Composite Shapes 1Composite Shapes 2
  1. They are congruent.
  2. They are similar, but not congruent.
  3. They are neither similar nor congruent.
Grade 6 Similar and Congruent Figures
Grade 8 Similar and Congruent Figures CCSS: 8.G.A.4
Which relationship is true for the images?

RectangleSquare
  1. They are congruent.
  2. They are similar, but not congruent.
  3. They are neither similar nor congruent.
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