Regents Geometry Midterm Review

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Which sequence of transformations maps quadrilateral MATH to M"A"T"H"?

• rotation followed by a reflection

• translation followed by a reflection

• translation followed by a rotation

• reflection followed by a dilation

The vertices of Δ DOG have coordinates D(-3, 2) O(0,0) and G(4,3). Under which transformation is the image Δ D'O'G' not congruent to Δ DOG?

• a translation of 3 units left and 3 units down

• a reflection over the y-axis

• a dilation with a scale factor of 3 centered at the origin

Which statement is not correct?

Using the Pythagorean theorem, find the length of the missing side of a right triangle if one leg is 8 cm and the hypotenuse is 10 cm.

• 6 cm

• 2 cm

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• 123

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In the diagram, Which given information is sufficient to prove \Delta ACB\cong\Delta ACD?

In the diagram below, ΔTEA is mapped onto ΔHON after a sequence of rigid motions. If EA = 6x + 8, AT = 10x - 20, TE = 4x + 12, and NH = 8x - 8, what is the length of side NH?

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Use a compass and straightedge to construct an equilateral triangle inscribed in circle A below. [Leave all construction marks.]

• Construct a diameter and bisect it to find the vertices of the triangle.

• Use the radius to mark off equal arcs on the circle. Connect all intersections of the arc and circle to form a triangle

• Use the radius to mark off equal arcs on the circle. Connect every other intersection of arc and circle to form a triangle.

• Draw a secant and use it to find the vertices of the triangle.

Line segment APB has endpoints A(-5, 4) and B(7, -4). What are the coordinates of P if AP:PB is in the ratio 1:3?

• (-2, 2)

• (-1, 1.3)

• (1, 0)

• (4, -2)