Midterm Review

Consider the construction of an angle bisector. Which could have been the first step of this construction?

• Place the compass tip on point B and draw an arc inside angle Y

• Place the compass tip on point A and draw an anc inside angle Y

• Place compass tip on vertex Y and draw an arc that intersects YX and YZ

• Place compass tip on vertex Y and draw an arc that intersects point C

Tags

CCSS.HSG.CO.C.9

Which transformation on quadrilateral ABCD produces an image that does not preserve distance between points in quadrilateral ABCD?

• Reflection across y = x

• Translation 3 units down and 4 units to the right.

• Dilation by a scale factor of 2

• Rotation 270 degrees

Tags

CCSS.HSG.CO.A.2

A regular pentagon is centered about the origin and has a vertex at (0, 4). Which transformation maps the pentagon to itself?

• A reflection across line m

• A reflection across the x-axis

• A clockwise rotation of 100 degrees about the origin

• A clockwise rotation of 144 degrees about the origin

Tags

CCSS.HSG.CO.A.3

A Parallelogram has vertices at (0, 0), (0, 6), (4, 4), and (4, -2). Which transformation maps the parallelogram to itself?

• A reflection across the line x = 2

• A reflection across the line y = 2

• A rotation of 180 degrees about point (2, 2)

• A rotation of 180 degrees about the origin

Tags

CCSS.HSG.CO.A.3

What are the coordinates of the image of point A(2, -7) under the translation (x, y) —> (x - 3, y + 5)?

• (-1, -2)

• (-1, 2)

• (5, -12)

• (5, 12)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which sequence of Transformations maps triangle ABC to triangle RST?

• Reflect Triangle ABC across the line x = -1. Then translate the result 1 unit down.

• Reflect Triangle ABC across the line x = -1. Then translate the result 5 units down.

• Translate triangle ABC 6 units to the right. Then rotate the result 90 degrees clockwise about the point (1, 1).

• Translate triangle ABC 6 units to the right. Then rotate the result 90 degrees counterclockwise about the point (1, 1).

Tags

CCSS.8.G.A.3

What is the sequence of Transformations that carry triangle ABC to triangle QRS?

• Triangle ABC is reflected across the line x = 3. Then it is translated 2 units down.

• Triangle ABC is reflected across the line x = 3. Then it is translated 6 units down.

• Triangle ABC is translated 2 units left. Then it is rotated 90 degrees counterclockwise about the point (1, 1).

• Triangle ABC is translated 2 units right. Then it is rotated 90 degrees counterclockwise about the point (1, 1).

Tags

CCSS.8.G.A.3

The smaller triangle is transformed to create the larger triangle. Which of these is the scale factor of the dilation centered at the point (0, 0)?

• 4

• 2

• 1

• 1/2

Tags

CCSS.HSG.CO.A.2

In the Coordinate Plane, Segment PQ is the result of a dilation of Segment XY by a scale factor of 1/2. Which point is the center of dilation?

• (-4, 0)

• (0, -4)

• (0, 4)

• (4, 0)

Tags

CCSS.8.G.A.3

In the triangles shown, triangle ABC is dilated by a factor of 2/3 to form triangle XYZ. Given that m<A = 50 and m<B = 100, what is m<Z?

• 15 degrees

• 25 degrees

• 30 degrees

• 50 degrees

Tags

CCSS.8.G.A.3