8th Grade EOG Prep - Geometry

Look at the graph of a line segment before and after a transformation occurred.

Which statement describes the transformation that could have been made to the line segment?

• The line segment was dilated by a factor of 1/2

• The line segment was rotated by 180⁰ about the origin.

• The line segment was reflected over the x-axis.

• The line segment was translated 6 units down and 1 unit left

Tags

CCSS.HSG.CO.A.2

Parallelogram ABCD is shown on the coordinate plane. Parallelogram ABCD will be reflected over the x-axis to create parallelogram A'B'C'D'.

What are the new coordinates of point C' after the reflection of parallelogram ABCD?

• 6, 3

• -6, 3

• 6, -3

• -6, -3

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Parallelogram ABCD is shown on the coordinate plane. Parallelogram ABCD will be reflected over the x-axis. Then, it will be rotated 90⁰ counterclockwise about the origin to create parallelogram A"B"C"D".

What are the new coordinates of point B' after the series of transformations?

• 3, 2

• 2, 3

• 2, -3

• -3, 2

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A line segment on a graph has endpoints of (-3, 1) and (3, 1). It is translated 5 units down and then reflected across the x-axis.

What are the endpoints after the series of transformations?

• (-3, -4) and (3, 4)

• (-3, -1) and (3, -1)

• (-3, 4) and (3, 4)

• (-3, -6) and (3, -6)

Tags

CCSS.8.G.A.3

Triangles ABC and DEF are shown on the coordinate grid.

What sequence of transformations can be applied to triangle ABC to show that it is congruent to triangle DEF?

• reflect across the x-axis

• reflect across the y-axis

• translate 3 units down

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Jenna wants to hang outdoor stringed lights on her house along the roof line and horizontally across the side of her house, connecting the ends of the roof line to create a triangle.

What is the approximate total length, in feet, of lights that she needs to create one triangle?

• 48

• 64

• 80

• 98

Tags

CCSS.3.MD.D.8

Look at the right triangle on the coordinate grid.

What is the length of the hypotenuse?

Tags

CCSS.6.G.A.3

The coordinate grid shows right triangle EFG and point H.

What is the distance, in units, from point E to point G?

• 3

• 9

Tags

CCSS.HSG.GPE.B.7

The coordinate grid shows right triangle EFG and point H.

What is the distance, in units, from point E to point H?

• 5

• 7

Tags

CCSS.HSG.GPE.B.7

For a classroom party, there are 12 bottles of fruit punch. Each bottle is filled with 850 cubic centimeters of punch. The fruit punch will be served in cone-shaped paper cups that are 7 centimeters across and 12 centimeters tall.

How many completely full cone-shaped cups of the punch can be poured?

• 16

• 66

• 232

• 265

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3