Geometry and Measurement

Quadrilateral KLMN is similar to quadrilateral WXYZ. Which statement about these quadrilaterals must be true?

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• Angle NKL is congruent to angle ZWX.

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• Angle NKL is congruent to angle XYZ.

Mr. Ortiz used similar triangles to make a design. Which statement about the triangles in the design must be true?

• They are the same size and shape.

• They are the same size but different shapes.

• They have corresponding angles that are congruent.

• They have corresponding sides that are congruent.

Figure JKLM is similar to figure PQRS. Which proportion must be true for these figures?

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A group of students formed a circle during a game. The circumference of the circle was about 43.96 feet, and the diameter of the circle was 14 feet. Which expression best represents the value of π?

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The diagram shows a door that has a window in it. The front faces of the door and the window are similar rectangles that have the dimensions shown. What is h, the height of the window in centimeters?

• 66 cm

• 186 cm

• 150 cm

• Not here

An architect built a scale model of a sports stadium using a scale in which 2 inches represents 30 feet. The height of the sports stadium is 180 feet. What is the height of the scale model in inches?

• 3 in.

• 105 in.

• 12 in.

• 60 in.

Triangle ABC is similar to triangle FGH. What is the value of x in centimeters?

• 22.5 cm

• 8 cm

• 10.8 cm

• 30 cm

The distance between two cities on a map is 3.5 centimeters. The map uses a scale in which 1 centimeter represents 20 kilometers. What is the actual distance between these two cities in kilometers?

• 5.71

• 23.5

• 70

• Not here

Corbin made a scale model of the San Jacinto Monument. The monument has an actual height of 604 feet. Corbin's model used a scale in which 1 inch represents 100 feet. What is the height in inches of Corbin's model?

• 60.4

• 6.04

• 604

• 6,040

The two parallelograms below are similar. What is the length in inches of PQ?

• 40 in.

• 34 in.

• 38 in.

• 14 in.