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Given that Given that , what angle of is congruent to of ? , what angle of Given that , what angle of is congruent to of ? is congruent to Given that , what angle of is congruent to of ? of Given that , what angle of is congruent to of ? ?

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What does the question mark represent in this extended proportion? What does the question mark represent in this extended proportion?

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If If and , which method is used to prove that ? A) AA B) SAS C) SAS D) SSS and If and , which method is used to prove that ? A) AA B) SAS C) SAS D) SSS , which method is used to prove that If and , which method is used to prove that ? A) AA B) SAS C) SAS D) SSS ?


A) AA
B) SAS If and , which method is used to prove that ? A) AA B) SAS C) SAS D) SSS
C) SAS
D) SSS If and , which method is used to prove that ? A) AA B) SAS C) SAS D) SSS

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Given that Given that , , and in , it follows that . , Given that , , and in , it follows that . , and Given that , , and in , it follows that . in Given that , , and in , it follows that . , it follows that Given that , , and in , it follows that . .

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In In , . Also, . Find . A) 30 ° B) 45 ° C) 60 ° D) None of These , In , . Also, . Find . A) 30 ° B) 45 ° C) 60 ° D) None of These . Also, In , . Also, . Find . A) 30 ° B) 45 ° C) 60 ° D) None of These . Find In , . Also, . Find . A) 30 ° B) 45 ° C) 60 ° D) None of These .


A) 30 °
B) 45 °
C) 60 °
D) None of These

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In In , and . If , find . A) 6 B) C) D) 12 , In , and . If , find . A) 6 B) C) D) 12 and In , and . If , find . A) 6 B) C) D) 12 . If In , and . If , find . A) 6 B) C) D) 12 , find In , and . If , find . A) 6 B) C) D) 12 .


A) 6
B) In , and . If , find . A) 6 B) C) D) 12
C) In , and . If , find . A) 6 B) C) D) 12
D) 12

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The triple (20,21,29)is a Pythagorean Triple.

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In a 30°-60°-90° triangle, the hypotenuse has a length of 20 cm. Find the exact perimeter of this triangle.


A) In a 30°-60°-90° triangle, the hypotenuse has a length of 20 cm. Find the exact perimeter of this triangle. A) B) C) D)
B) In a 30°-60°-90° triangle, the hypotenuse has a length of 20 cm. Find the exact perimeter of this triangle. A) B) C) D)
C) In a 30°-60°-90° triangle, the hypotenuse has a length of 20 cm. Find the exact perimeter of this triangle. A) B) C) D)
D) In a 30°-60°-90° triangle, the hypotenuse has a length of 20 cm. Find the exact perimeter of this triangle. A) B) C) D)

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If If and are divided proportionally at points M and N (as shown), then . and If and are divided proportionally at points M and N (as shown), then . are divided proportionally at points M and N (as shown), then If and are divided proportionally at points M and N (as shown), then . .

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If If in , then . in If in , then . , then If in , then . .

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In the legs of a right triangle are congruent, then the triangle is a 45°-45°-90° triangle.

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In the figure, In the figure, intersects two sides of as shown. If , what relationship must hold true? intersects two sides of In the figure, intersects two sides of as shown. If , what relationship must hold true? as shown. If In the figure, intersects two sides of as shown. If , what relationship must hold true? , what relationship must hold true?

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Given that Given that , the two triangles are similar. Which side of corresponds to side of the second triangle? , the two triangles are similar. Which side of Given that , the two triangles are similar. Which side of corresponds to side of the second triangle? corresponds to side Given that , the two triangles are similar. Which side of corresponds to side of the second triangle? of the second triangle?

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Point D lies in the interior of Point D lies in the interior of . Line segments are drawn from vertices A , B , and C through point D to intersect at point E , at point F , and at point G . If , , , , and , find AG . [Hint: Use Ceva's Theorem.] . Line segments are drawn from vertices A , B , and C through point D to intersect Point D lies in the interior of . Line segments are drawn from vertices A , B , and C through point D to intersect at point E , at point F , and at point G . If , , , , and , find AG . [Hint: Use Ceva's Theorem.] at point E , Point D lies in the interior of . Line segments are drawn from vertices A , B , and C through point D to intersect at point E , at point F , and at point G . If , , , , and , find AG . [Hint: Use Ceva's Theorem.] at point F , and Point D lies in the interior of . Line segments are drawn from vertices A , B , and C through point D to intersect at point E , at point F , and at point G . If , , , , and , find AG . [Hint: Use Ceva's Theorem.] at point G . If Point D lies in the interior of . Line segments are drawn from vertices A , B , and C through point D to intersect at point E , at point F , and at point G . If , , , , and , find AG . [Hint: Use Ceva's Theorem.] , Point D lies in the interior of . Line segments are drawn from vertices A , B , and C through point D to intersect at point E , at point F , and at point G . If , , , , and , find AG . [Hint: Use Ceva's Theorem.] , Point D lies in the interior of . Line segments are drawn from vertices A , B , and C through point D to intersect at point E , at point F , and at point G . If , , , , and , find AG . [Hint: Use Ceva's Theorem.] , Point D lies in the interior of . Line segments are drawn from vertices A , B , and C through point D to intersect at point E , at point F , and at point G . If , , , , and , find AG . [Hint: Use Ceva's Theorem.] , and Point D lies in the interior of . Line segments are drawn from vertices A , B , and C through point D to intersect at point E , at point F , and at point G . If , , , , and , find AG . [Hint: Use Ceva's Theorem.] , find AG . [Hint: Use Ceva's Theorem.]

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In the figure, In the figure, . Also, , , and . Find TX . . Also, In the figure, . Also, , , and . Find TX . , In the figure, . Also, , , and . Find TX . , and In the figure, . Also, , , and . Find TX . . Find TX .

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Two sides of Two sides of have lengths 5 inches and 6 inches. The length of the remaining and longest side is x inches. Determine all integer (whole number)values of x so that is an obtuse triangle. have lengths 5 inches and 6 inches. The length of the remaining and longest side is x inches. Determine all integer (whole number)values of x so that Two sides of have lengths 5 inches and 6 inches. The length of the remaining and longest side is x inches. Determine all integer (whole number)values of x so that is an obtuse triangle. is an obtuse triangle.

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In the figure, In the figure, and . What method allows you to conclude that ? and In the figure, and . What method allows you to conclude that ? . What method allows you to conclude that In the figure, and . What method allows you to conclude that ? ?

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In isosceles triangle RST , In isosceles triangle RST , . If , find the length of . . If In isosceles triangle RST , . If , find the length of . , find the length of In isosceles triangle RST , . If , find the length of . .

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In an equilateral triangle, each side measures 12 cm. Find the length of the altitude of this triangle.

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In the figure, In the figure, . If , , , and , find the value of x . . If In the figure, . If , , , and , find the value of x . , In the figure, . If , , , and , find the value of x . , In the figure, . If , , , and , find the value of x . , and In the figure, . If , , , and , find the value of x . , find the value of x .

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