Exam 12: Geometry Problems: Complementary Angles, Collinear Points, and Similar Triangles

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  -A square is inscribed in a circle. If the area of the circle is 28.25   and the area of the square is 18   , find the area of the four-part region that lies outside the square but inside the circle. -A square is inscribed in a circle. If the area of the circle is 28.25   -A square is inscribed in a circle. If the area of the circle is 28.25   and the area of the square is 18   , find the area of the four-part region that lies outside the square but inside the circle. and the area of the square is 18   -A square is inscribed in a circle. If the area of the circle is 28.25   and the area of the square is 18   , find the area of the four-part region that lies outside the square but inside the circle. , find the area of the four-part region that lies outside the square but inside the circle.

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  -If the diagonals of a quadrilateral are perpendicular, the quadrilateral must be a square. -If the diagonals of a quadrilateral are perpendicular, the quadrilateral must be a square.

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In isosceles triangle RST with vertex angle S, In isosceles triangle RST with vertex angle S,   . Describe the measure of   . . Describe the measure of In isosceles triangle RST with vertex angle S,   . Describe the measure of   . .

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  -To the nearest tenth of a foot, find the circumference of a circle whose length of diameter is 12.6 feet. -To the nearest tenth of a foot, find the circumference of a circle whose length of diameter is 12.6 feet.

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  -If m   = 45° and OA = 4.3 cm, find l   correct to the nearest tenth of a centimeter. -If m   -If m   = 45° and OA = 4.3 cm, find l   correct to the nearest tenth of a centimeter. = 45° and OA = 4.3 cm, find l   -If m   = 45° and OA = 4.3 cm, find l   correct to the nearest tenth of a centimeter. correct to the nearest tenth of a centimeter.

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What relationship exists among the sides of a skew quadrilateral?

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  -The drawing shown can be used to prove that the line segment joining the midpoints of two sides of a triangle is parallel to the third side. -The drawing shown can be used to prove that the line segment joining the midpoints of two sides of a triangle is parallel to the third side.

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  -For   , the length of radius is 10 cm. For parallel chords   and   , AB = 12 cm and CD = 16 cm. How far apart are the parallel chords? -For   -For   , the length of radius is 10 cm. For parallel chords   and   , AB = 12 cm and CD = 16 cm. How far apart are the parallel chords? , the length of radius is 10 cm. For parallel chords   -For   , the length of radius is 10 cm. For parallel chords   and   , AB = 12 cm and CD = 16 cm. How far apart are the parallel chords? and   -For   , the length of radius is 10 cm. For parallel chords   and   , AB = 12 cm and CD = 16 cm. How far apart are the parallel chords? , AB = 12 cm and CD = 16 cm. How far apart are the parallel chords?

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The volume of a cube whose sides each measure 1 yard can be written as 9 The volume of a cube whose sides each measure 1 yard can be written as 9   . .

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  -The pentagon shown is composed of square ABCD and isosceles triangle BXC in which m   = 90°. If AD = 4 cm, find the area of the pentagon. -The pentagon shown is composed of square ABCD and isosceles triangle BXC in which m   -The pentagon shown is composed of square ABCD and isosceles triangle BXC in which m   = 90°. If AD = 4 cm, find the area of the pentagon. = 90°. If AD = 4 cm, find the area of the pentagon.

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In a polyhedron, the relationship between numbers of vertices V, edges E, and faces F is found in Euler's equation In a polyhedron, the relationship between numbers of vertices V, edges E, and faces F is found in Euler's equation   . .

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Which statement would one prove by the indirect method?

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  -In the figure,   the perpendicular-bisector of   . If   and   , find WV. -In the figure,   -In the figure,   the perpendicular-bisector of   . If   and   , find WV. the perpendicular-bisector of   -In the figure,   the perpendicular-bisector of   . If   and   , find WV. . If   -In the figure,   the perpendicular-bisector of   . If   and   , find WV. and   -In the figure,   the perpendicular-bisector of   . If   and   , find WV. , find WV.

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In a right triangle, the cosine ratio takes the form In a right triangle, the cosine ratio takes the form   . .

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  -Where R is the radius of the larger circle and r is the radius of the smaller circle, the area of the ring (or annulus) is given by A =   . -Where R is the radius of the larger circle and r is the radius of the smaller circle, the area of the ring (or annulus) is given by A =   -Where R is the radius of the larger circle and r is the radius of the smaller circle, the area of the ring (or annulus) is given by A =   . .

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Find the distance between the points Find the distance between the points   and   . and Find the distance between the points   and   . .

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The reason for the congruence of two triangles due to the congruence of two pairs of angles and their included pair of sides is represented by AAS.

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Find the slope of any line that is perpendicular to the line Find the slope of any line that is perpendicular to the line   . .

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When the 3 angle-bisectors of a triangle are constructed, what appears to happen?

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Find the Slope-Intercept form of the equation whose graph has slope m = 2 and the y-intercept at (0,-3).

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