Exam 5: Introduction to Geometry

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Select the figure that shows the correct line(s) of symmetry for the illustration of the flag, without its flagpole. . Select the figure that shows the correct line(s) of symmetry for the illustration of the flag, without its flagpole. .

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By looking at the figure, you can assume that it is a square. No formal proof is needed. By looking at the figure, you can assume that it is a square. No formal proof is needed.

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Given are two similar triangles shown in the figure.  Given are two similar triangles shown in the figure.   If  c = 10  ,  b = 8  and  c ^ { \prime } = 5  find  b ^ { \prime } If c=10c = 10 , b=8b = 8 and c=5c ^ { \prime } = 5 find bb ^ { \prime }

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Find the sum of the angles in a polygon with 6 sides. __________ Find the sum of the angles in a polygon with 6 sides. __________

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Two similar triangles are shown in the figure. If b=10b = 10 a=6,a = 6 , and a=5a ^ { \prime } = 5 find bb ^ { \prime }  Two similar triangles are shown in the figure. If  b = 10   a = 6 ,  and  a ^ { \prime } = 5  find  b ^ { \prime }    Enter exact value in simplified form. Enter exact value in simplified form.

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A wire from the top of a TV tower to the ground makes an angle of 49.3  A wire from the top of a TV tower to the ground makes an angle of 49.3   with the ground and touches the ground 220 ft from the base of the tower. How high is the tower (to the nearest tenth of a foot)? Height of tower   \approx  __________ ft with the ground and touches the ground 220 ft from the base of the tower. How high is the tower (to the nearest tenth of a foot)? Height of tower \approx __________ ft

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Find the measure of the exterior angle, xx . A=43\angle A = 43 ^ { \circ } and C=53\angle \mathrm { C } = 53 ^ { \circ } .  Find the measure of the exterior angle,  x  .  \angle A = 43 ^ { \circ }  and  \angle \mathrm { C } = 53 ^ { \circ }  .

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Assume that the given angles have been measured and A=48\angle A = 48 ^ { \circ } . Calculate the angle, x , that could not be found by direct measurement.  Assume that the given angles have been measured and  \angle A = 48 ^ { \circ }  . Calculate the angle, x , that could not be found by direct measurement.      Assume that the given angles have been measured and  \angle A = 48 ^ { \circ }  . Calculate the angle, x , that could not be found by direct measurement.

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Name the polygon in the figure according to the number of sides. Name the polygon in the figure according to the number of sides.

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Does the picture illustrate a line symmetry? Chambered nautilus Does the picture illustrate a line symmetry? Chambered nautilus

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Use the figure to answer the question.  Use the figure to answer the question.   What is  \tan B ?  Enter your answer as a ratio expressed as a fraction. What is tanB?\tan B ? Enter your answer as a ratio expressed as a fraction.

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Find the measure of the indicated exterior angle. Find the measure of the indicated exterior angle.

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Use the figure to answer the question. Use the figure to answer the question.   What is the length of the hypotenuse? What is the length of the hypotenuse?

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Find the angles of a triangle if it is known that the measures of the angles are t,t+20t , t + 20 and t+40t + 40 .  Find the angles of a triangle if it is known that the measures of the angles are  t , t + 20  and  t + 40  .

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If a carpenter wants to make sure that the corner of a room is square and measures 48 ft and 64 ft along the walls, how long should he make the diagonal? Length of diagonal = __________ ft

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Find the trigonometric ratio. Round your answer to four decimal places. sin21\sin 21 ^ { \circ } = __________

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Find the angles of a triangle if it is known that the measures of the angles are x,3x5x , 3 x - 5 and 3(50x)3 ( 50 - x ) .  Find the angles of a triangle if it is known that the measures of the angles are  x , 3 x - 5  and  3 ( 50 - x )  .

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Name the polygon in the figure according to the number of sides. Name the polygon in the figure according to the number of sides.

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Select the figure that shows the correct line(s) of symmetry for the illustration of the flag, without its flagpole. . Select the figure that shows the correct line(s) of symmetry for the illustration of the flag, without its flagpole. .

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Name the corresponding parts of the triangles.  Name the corresponding parts of the triangles.    \overline { A C } ,  __________  \overline { B D }  __________  \overline { C D } ,  __________  \angle B , \angle _________  \angle B C D , \angle _________  \angle A D C , \angle _________ AC,\overline { A C } , __________ BD\overline { B D } __________ CD,\overline { C D } , __________ B,\angle B , \angle _________ BCD,\angle B C D , \angle _________ ADC,\angle A D C , \angle _________

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