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Extended Ratios In Geometry

Practice extended ratios in geometry with multiple-choice questions to enhance understanding of proportions, relationships, and geometric concepts.

Category Education
1 - Multiple Choice
The ratio of the measures of the angles of a triangle is 6:2:7. Find the measure of the largest angle.
  • 1. 90 degrees
  • 2. 84 degrees
  • 3. 102 degrees
2 - Multiple Choice
The ratio of the measures of the sides of a triangle is 4:9:8. If the perimeter is 147 feet, find the measure of the shortest side.
  • 1. 32 feet
  • 2. 21 feet
  • 3. 18 feet
3 - Multiple Choice
The angles of a quadrilateral are in the ratio 1:2:3:4. Find the measure of the largest angle.
  • 1. 120 degrees
  • 2. 144 degrees
  • 3. 90 degrees
4 - Multiple Choice
In a triangle, the ratio of the angles is 5:3:2. Find the measure of the smallest angle.
  • 1. 30 degrees
  • 2. 36 degrees
  • 3. 45 degrees
5 - Multiple Choice
The sides of a triangle are in the ratio 7:5:3. If the perimeter is 120 cm, find the length of the longest side.
  • 1. 56 cm
  • 2. 70 cm
  • 3. 49 cm
6 - Multiple Choice
In a triangle, the sides are in the ratio 8:15:17. If the perimeter is 240 units, what is the length of the longest side?
  • 1. 120 units
  • 2. 136 units
  • 3. 102 units
7 - Multiple Choice
The sides of a rectangle are in the ratio 3:5. If the perimeter is 80 cm, find the length of the longer side.
  • 1. 20 cm
  • 2. 30 cm
  • 3. 25 cm
8 - Multiple Choice
A parallelogram's sides are in the ratio 7:3. If the perimeter is 100 m, find the length of the longer side.
  • 1. 35 m
  • 2. 30 m
  • 3. 42 m
9 - Multiple Choice
The ratio of the base to the height of a triangle is 5:2. If the height is 10 cm, find the length of the base.
  • 1. 25 cm
  • 2. 30 cm
  • 3. 15 cm
10 - Multiple Choice
In a trapezoid, the bases are in the ratio 3:7. If the shorter base is 18 cm, find the length of the longer base.
  • 1. 42 cm
  • 2. 54 cm
  • 3. 48 cm

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