Geometry Transformations: Similarity & Congruence Challenge

A triangle has vertices at A(1, 2), B(3, 4), and C(5, 2). If the triangle is reflected over the y-axis, what are the new coordinates of the vertices?

• A'(-1, -2), B'(-3, -4), C'(-5, -2)

• A'(1, 2), B'(3, 4), C'(5, 2)

• A'(-1, 4), B'(-3, 2), C'(-5, 4)

• A'(-1, 2), B'(-3, 4), C'(-5, 2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A rectangle has a length of 10 cm and a width of 5 cm. If the rectangle is dilated by a scale factor of 2, what are the dimensions of the new rectangle?

• Length: 15 cm, Width: 7.5 cm

• Length: 25 cm, Width: 12.5 cm

• Length: 20 cm, Width: 10 cm

• Length: 10 cm, Width: 5 cm

Tags

CCSS.8.G.A.3

A square is rotated 90 degrees clockwise around its center. If one vertex of the square is at (2, 3), what are the coordinates of that vertex after the rotation?

• (4, 1)

• (3, -2)

• (2, 3)

• (1, 4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Two triangles are similar. The first triangle has sides measuring 6 cm, 8 cm, and 10 cm. If the longest side of the second triangle is 15 cm, what are the lengths of the other two sides of the second triangle?

• 8 cm, 10 cm

• 9 cm, 12 cm

• 10 cm, 15 cm

• 7 cm, 14 cm

Tags

CCSS.HSG.SRT.A.2

A pentagon is translated 4 units to the right and 3 units up. If one vertex of the pentagon is at (2, 1), what are the coordinates of that vertex after the translation?

• (6, 4)

• (6, 3)

• (2, 1)

• (5, 4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A circle has a radius of 5 cm. If the circle is shrunk to half its size, what will be the radius of the new circle?

• 6 cm

• 2.5 cm

• 4 cm

• 3 cm

Tags

CCSS.8.G.A.3

A trapezoid has bases measuring 8 cm and 5 cm. If the trapezoid is enlarged by a scale factor of 3, what will be the lengths of the new bases?

• 24 cm and 15 cm

• 12 cm and 6 cm

• 20 cm and 10 cm

• 30 cm and 18 cm

Tags

CCSS.7.G.A.1

A triangle is congruent to another triangle. If the first triangle has a perimeter of 24 cm, what is the perimeter of the second triangle?

• 18 cm

• 24 cm

• 20 cm

• 30 cm

Tags

CCSS.HSG.CO.B.7

A rectangle is rotated 180 degrees around its center. If one corner of the rectangle is at (4, 5), what will be the coordinates of that corner after the rotation?

• (8, 5)

• Unable to determine without rectangle dimensions.

• (4, 10)

• (0, 5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A hexagon is reflected over the line y = x. If one vertex of the hexagon is at (3, 4), what are the coordinates of that vertex after the reflection?

• (4, 5)

• (2, 3)

• (4, 3)

• (3, 4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5