Math 8 GMAS Review Day 5

Math 8 GMAS Review Day 5

By Laphenetra Allen

Geometry Domain

Multiple Choice

The coordinate plane below shows the location of △RST. Triangle RST was rotated 90 degrees clockwise about the origin to form △R′S′T′. Which coordinate plane shows the location of △R′S′T′?

Multiple Choice

The location of Pentagon DEFGH is shown on the coordinate plane below. Pentagon DEFGH is translated up 10 units and then reflected over the y-axis resulting in Pentagon D′E′F′G′H′. What is the location of vertex G′?

• (-7, -2)

• (5, 2)

• (-5, -2)

• (7, 2)

Multiple Choice

Look at triangle ABC on the coordinate plane. Which coordinate plane shows triangle ABC after a reflection over the y-axis?

Multiple Choice

Which set of coordinates demonstrate a translation of line AB up 3 units and left 1 unit?

• (4, − 2 , 1, 3)

• (-4, 4 , 1, 1)

• (-2, 4 , 3, 1)

• (4, −4 , 1, 1)

Multiple Choice

What will be the coordinates of point A after a reflection across the x-axis?

• (6, − 2)

• (6, − 5)

• (-1, 5)

• (-6, 5)

Multiple Choice

Which set of coordinates represents the reflection of the following image over the y–axis?

• (–6 , 2), (–4 , 8), (–2 , 2)

• (6 , 2), (4 , 8), (2 , 2)

• (–6 , –2), (–4 , –8), (–2 , –2)

• (–2 , 2), (0 , 8), (2 , 2)

Multiple Choice

Which is a TRUE statement about the figures shown?

• Triangle GHI is congruent to Triangle G'H'I'.

• The transformation shown has a scale factor of

  3.

• The image is smaller than the pre-image.

• Segment GH is congruent to segment I'H'.

Multiple Choice

On the graph, △DEF was transformed to create △DGH. Which transformations show that △DEF is similar to △DGH?

• a dilation by a scale factor of 6 and then a 180°

  rotation about the origin

• a dilation by a scale factor of 6 and then a

  translation 6 units down and 6 units left

• a dilation by a scale factor of 3 and then a 180°

  rotation about the origin

• a dilation by a scale factor of 3 and then a

  translation 6 units down and 6 units left

Multiple Select

Two triangles are shown on the coordinate grid. Which statements about the triangles are correct? Select two that apply.

• Triangle P is similar to triangle Q.

• Triangle P is a reflection and a translation of

  triangle Q.

• Triangle P is not similar to triangle Q.

• Triangle P is a reflection and dilation of triangle

  Q.

• Triangle P is a translation and a dilation of

  triangle Q.

Multiple Choice

Find the value of x that makes the triangle a right triangle.

• 8

• 16

• 18

• 23

Multiple Choice

• 13.5 feet

• 18.6 feet

• 22.5 feet

• 17.4 feet

Multiple Select

Which equation can be used to find the unknown length, a, in this triangle?

• $$a^2+15^2=17^2$$  

• $$15^2+17^2=a^2$$  

• $$a^2+15^2=17^2$$  

• $$a+15^2=17^2$$  

Multiple Choice

Which correctly describes the TWO transformations that were used to create the image on the graph?

• Reflection over the y-axis and a rotation 90°

  counter-clockwise

• Translation 10 units left and a reflection over the

  x-axis

• Rotation 90° clockwise and a reflection over the

  x-axis

• Reflection ofer the x-axis and a translation 9

  right and 1 up

Statistics & Probability Domain

Multiple Select

Which scatter plots show nonlinear association?

Select ALL that apply.

Multiple Choice

Which choice BEST describes the relationship between the variables shown in the graph below?

• People who completed more years of college

  generally made less money than those who

  completed fewer years of college.

• There is no relationship between college

  completion and income.

• People should go to college.

• People who made more money generally

  completed more years of college than those who

  made less money.

Multiple Choice

Terrence created a scatter plot to represent the total number of goals scored by each player on his soccer team in a season and the number of hours the player spent at soccer practice. Which graph shows the line of best fit for the data in Terrence's scatter plot?

Multiple Choice

What is the BEST information that can be gathered from the scatter plot below?

• Students, who read often, like vocabulary.

• Students at high vocabulary levels tend to read

  the same amount of books as students at a low

  vocabulary level.

• Students who read more frequently tend to

  achieve higher vocabulary levels.

• No relationship can be found between

  vocabulary levels and reading frequency.

Multiple Choice

The relationship between the number of dollars per month that a company spends on advertising and its monthly sales can be modeled by the equation y = 0.1x + 10,000, where x is the amount spent on advertising and y is the monthly sales. According to the model, what will be the company's monthly sales if it spends no money on advertising?

• $0

• $1,000

• $10,000

• $100,000

Multiple Choice

If a line of best fit is drawn on the scatter plot below, what is the most likely location of the xintercept?

• (0,8)

• (8, 0)

• (4, 3)

• (8,1)

Multiple Choice

A survey found that the relationship between the years of education a person has and that

person's yearly income in his or her first job after completing schooling can be modeled by the

equation y = 1200x + 7000, where x is the number of years of education and y is the yearly income. According to the model, how much does 1 year of education add to a person's yearly income?

• $1200

• $5800

• $7000

• $8200