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1. What theorem states that the square of the hypoteuse of a right triangle is equal to the sum of the squares of the legs? A. Pythagorean C. Triangle Proportionality 2. Which of the following theorem states that "If a segment bisects an angle of a triangle, then it divides the opposite side into segments proportional to the other two sides"? B. Triangle Similarity D. Triangle -Angle Bisector A. Pythagorean C. Triangle Proportionality 3. Who is the person behind Pythagorean Theorem? A. Archimedes 4. What theorem states that "If a line segment is parallel to one side of a triangle and intersects the other two sides at points except the vertex, then it divides the two sides into segments of proportional lengths? A. The Basic Proportionality Theorem B. The Pythagorean Theorem C. The Right Triangle Proportional Theorem D. The Triangle Angle Bisector Theorem 5. What theorem states that the hypotenuse is twice the shorter leg and the longer leg is 3 times the shorter leg? A. The 30°-60°-90°Triangle Theorem B. Triangle Similarity D. Triangle-Angle Bisector B. Einstein C. Newton D. Pythagoras

1. What theorem states that the square of the hypoteuse of a right triangle is equal to the sum of the squares of the legs? A. Pythagorean C. Triangle Proportionality 2. Which of the following theorem states that "If a segment bisects an angle of a triangle, then it divides the opposite side into segments proportional to the other two sides"? B. Triangle Similarity D. Triangle -Angle Bisector A. Pythagorean C. Triangle Proportionality 3. Who is the person behind Pythagorean Theorem? A. Archimedes 4. What theorem states that "If a line segment is parallel to one side of a triangle and intersects the other two sides at points except the vertex, then it divides the two sides into segments of proportional lengths? A. The Basic Proportionality Theorem B. The Pythagorean Theorem C. The Right Triangle Proportional Theorem D. The Triangle Angle Bisector Theorem 5. What theorem states that the hypotenuse is twice the shorter leg and the longer leg is 3 times the shorter leg? A. The 30°-60°-90°Triangle Theorem B. Triangle Similarity D. Triangle-Angle Bisector B. Einstein C. Newton D. Pythagoras

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter7: Locus And Concurrence
Section7.1: Locus Of Points
Problem 47E: In Exercises 39 and 42, refer to the line segments shown. Use the following theorem to construct a...
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C. Each leg is the arithmetic mean between the hypotenuse and the segment of the hypotenuse that is adjacent to the leg. D. All leg is the arithmetic mean between the hypotenuse and the segment of the hypotenuse that is adjacent to the leg. 9. A tree 24 feet tall casts a shadow 12 feet long. Brad is 6 feet tall. How long is Brad's shadow? A. 3 ft. B. 6 ft. C. 9 ft. D. 12 ft. 10. A tree 24 feet tall casts a shadow 12 feet long. Brad is 6 feet tall. How long is Brad's shadow? A. 3 ft. 11. The scale of a drawing is 3 in: 15ft. What is the actual measurements for 4 inches? А. 20 ft 12. What is the length of a 150 m in a scale drawing having a scale of 1 cm:15m? A. 8 cm B. 6 ft. C. 9 ft. D. 12 ft. B. 21 ft C. 22 ft D. 23 ft B. 9 cm С. 10 cm D. 11 cm 13. If a man walks 4 km east and then 5 km south, how far is he from the point where he started? A. 7 km B. 6.4 km C. 3 km D. 5.5 km 14. What is the length of the hypotenuse of a right triangle if the legs are 6 and 8? A. 10 15. What will happen to the scale of the size of an actual object having 1m310cm? A. enlarges 16. Anna is standing near a tree on a sunny day. She figures that she can calculate the height of the tree if she measures her shadow and the tree's shadow, and then uses a proportion. How tall is the tree? A. 7.14 m 17. A 20-foot ladder is leaning against a vertical wall. If the foot of the ladder is 8 ft from the wall, how high does the ladder reach? A.8V6 3/2T 18. The area of a square is 64 square inches. What is the perimeter of the square in inches? В. 14 C. 28 D. 48 B. normalize C. preserves D. reduces B. 10.5 m C. 15 m D. 28 m B.9v6 421 C. 10v6 5/21 D.9V5 621 A. 32 inches 19. The smallest square of grid you made on your original picture is 6cm. if you enlarge the picture on a 15-cm grid, which of the following is NOT true? I. The new picture is 250% larger than the original one. II. The new picture is two and a half time larger than the original one. III. The scale factor between the original and the enlarge is 2:5 A. I only 20. Which of the following statements is true about the figure? I. ACAL~ACMA-AAML II. AM is the geometric mean of CM and LM III. AL is the geometric mean of LM and CL IV. AC is the geometric mean of CM and CL V. AM is the altitude to hypotenuse CL A. I only C. I, III, IV only B. 40 inches C. 128 inches D. 256 inches B. I and II C. III only D.,I, II and III B.I and V only D. II and III only
Transcribed Image Text:C. Each leg is the arithmetic mean between the hypotenuse and the segment of the hypotenuse that is adjacent to the leg. D. All leg is the arithmetic mean between the hypotenuse and the segment of the hypotenuse that is adjacent to the leg. 9. A tree 24 feet tall casts a shadow 12 feet long. Brad is 6 feet tall. How long is Brad's shadow? A. 3 ft. B. 6 ft. C. 9 ft. D. 12 ft. 10. A tree 24 feet tall casts a shadow 12 feet long. Brad is 6 feet tall. How long is Brad's shadow? A. 3 ft. 11. The scale of a drawing is 3 in: 15ft. What is the actual measurements for 4 inches? А. 20 ft 12. What is the length of a 150 m in a scale drawing having a scale of 1 cm:15m? A. 8 cm B. 6 ft. C. 9 ft. D. 12 ft. B. 21 ft C. 22 ft D. 23 ft B. 9 cm С. 10 cm D. 11 cm 13. If a man walks 4 km east and then 5 km south, how far is he from the point where he started? A. 7 km B. 6.4 km C. 3 km D. 5.5 km 14. What is the length of the hypotenuse of a right triangle if the legs are 6 and 8? A. 10 15. What will happen to the scale of the size of an actual object having 1m310cm? A. enlarges 16. Anna is standing near a tree on a sunny day. She figures that she can calculate the height of the tree if she measures her shadow and the tree's shadow, and then uses a proportion. How tall is the tree? A. 7.14 m 17. A 20-foot ladder is leaning against a vertical wall. If the foot of the ladder is 8 ft from the wall, how high does the ladder reach? A.8V6 3/2T 18. The area of a square is 64 square inches. What is the perimeter of the square in inches? В. 14 C. 28 D. 48 B. normalize C. preserves D. reduces B. 10.5 m C. 15 m D. 28 m B.9v6 421 C. 10v6 5/21 D.9V5 621 A. 32 inches 19. The smallest square of grid you made on your original picture is 6cm. if you enlarge the picture on a 15-cm grid, which of the following is NOT true? I. The new picture is 250% larger than the original one. II. The new picture is two and a half time larger than the original one. III. The scale factor between the original and the enlarge is 2:5 A. I only 20. Which of the following statements is true about the figure? I. ACAL~ACMA-AAML II. AM is the geometric mean of CM and LM III. AL is the geometric mean of LM and CL IV. AC is the geometric mean of CM and CL V. AM is the altitude to hypotenuse CL A. I only C. I, III, IV only B. 40 inches C. 128 inches D. 256 inches B. I and II C. III only D.,I, II and III B.I and V only D. II and III only
1. What theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the legs? A. Pythagorean C. Triangle Proportionality 2. Which of the following theorem states that If a segment bisects an angle of a triangle, then it divides the opposite side into segments proportional to the other two sides"? B. Triangle Similarity D. Triangle -Angle Bisector A. Pythagorean C. Triangle Proportionality 3. Who is the person behind Pythagorean Theorem? A. Archimedes B. Triangle Similarity D. Triangle -Angle Bisector B. Einstein C. Newton D. Pythagoras 4. What theorem states that "If a line segment is parallel to one side of a triangle and intersects the other two sides at points except the vertex, then it divides the two sides into segments of proportional lengths? A. The Basic Proportionality Theorem B. The Pythagorean Theorem C. The Right Triangle Proportional Theorem D. The Triangle Angle Bisector Theorem 5. What theorem states that the hypotenuse is twice the shorter leg and the longer leg is v3 times the shorter leg? A. The 30°-60°-90°Triangle Theorem B. The Pythagorean Theorem C. The Isosceles Right Triangle Theorem D. The Triangle Proportional Theorem 6. What theorem will you use to find the length of the hypotenuse of a 45°-45°-90°? A. The 30°-60°-90°Triangle Theorem B. The Triangle Proportionality Theorem C. The Isosceles Right Triangle Theorem D. The Triangle Similarity Theorem 7. When the altitude is drawn to the hypotenuse of a right triangle, what happens to the length? A. The length of the altitude is the geometric mean between the segments of the hypotenuse. B. The length of the altitude is the geometric mean after the segments of the hypotenuse. C. The length of the altitude is the geometric mean before the segments of the hypotenuse. D. The length of the altitude is the arithmetic mean between the segments of the hypotenuse. 8. Which of the following is a property of right triangles? A. The length of the altitude is the geometric mean between the segments of the hypotenuse. B. The width of the altitude is the geometric mean between the segments of the hypotenuse.
Transcribed Image Text:1. What theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the legs? A. Pythagorean C. Triangle Proportionality 2. Which of the following theorem states that If a segment bisects an angle of a triangle, then it divides the opposite side into segments proportional to the other two sides"? B. Triangle Similarity D. Triangle -Angle Bisector A. Pythagorean C. Triangle Proportionality 3. Who is the person behind Pythagorean Theorem? A. Archimedes B. Triangle Similarity D. Triangle -Angle Bisector B. Einstein C. Newton D. Pythagoras 4. What theorem states that "If a line segment is parallel to one side of a triangle and intersects the other two sides at points except the vertex, then it divides the two sides into segments of proportional lengths? A. The Basic Proportionality Theorem B. The Pythagorean Theorem C. The Right Triangle Proportional Theorem D. The Triangle Angle Bisector Theorem 5. What theorem states that the hypotenuse is twice the shorter leg and the longer leg is v3 times the shorter leg? A. The 30°-60°-90°Triangle Theorem B. The Pythagorean Theorem C. The Isosceles Right Triangle Theorem D. The Triangle Proportional Theorem 6. What theorem will you use to find the length of the hypotenuse of a 45°-45°-90°? A. The 30°-60°-90°Triangle Theorem B. The Triangle Proportionality Theorem C. The Isosceles Right Triangle Theorem D. The Triangle Similarity Theorem 7. When the altitude is drawn to the hypotenuse of a right triangle, what happens to the length? A. The length of the altitude is the geometric mean between the segments of the hypotenuse. B. The length of the altitude is the geometric mean after the segments of the hypotenuse. C. The length of the altitude is the geometric mean before the segments of the hypotenuse. D. The length of the altitude is the arithmetic mean between the segments of the hypotenuse. 8. Which of the following is a property of right triangles? A. The length of the altitude is the geometric mean between the segments of the hypotenuse. B. The width of the altitude is the geometric mean between the segments of the hypotenuse.
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