6.9.23 Geometry Regents Review

Which object is formed when right triangle RST shown below is rotated around leg RS?

• A pyramid with a square base

• an isosoceles Triangle

• a right triangle

• A cone

Answer explanation

The center of circle Q has coordinates (3, -2). If circle Q passes through R(7,1), what is the length of its diameter?

• 50

• 25

• 10

• 5

Answer explanation

In the diagram below, congruent figures 1,2, and 3 are drawn. Which sequence of transformations maps figure 1 onto figure 2 and then figure 2 onto figure 3?

• a reflection followed by a translation

• a rotation followed by a translation

• a translation followed by a reflection

• a translation followed by a rotation

A parallelogram must be a rectangle when its

• diagonals are perpendicular

• diagonals are congruent

• opposite sides are parallel

• opposite sides are congruent

The line whose equation is 3x - 5y = 4 is dilated by a scale factor of 5/3 centered at the origin. Which statement is correct?

• The image of the line has the same slope as the pre-image but a different y-intercept

• the image of the line has the same y-intercept as the pre-image but a different slope

• The imagine of the line has the same slope and the same y-intercept as the pre-image

• the image of the line has a different slope and a different y-intercept from the pre-image.

Answer explanation

Dilations always make parallel lines, so we know:

–> the slope stays the same

The origin is NOT on the line, so we know:

–> the y-intercept changes

• sin A = sin B

• cos A = cos B

• cos A = sin C

• sin A = cos B

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Answer explanation