Are You Smarter Than A 8th Grader?

Quick Maths

100

Name 3 properties of an isosceles trapezoid. 

An isosceles trapezoid is a trapezoid with the top and bottom sides parallel. While the opposite sides left and right are congruent. The angles on opposite sides of the base are congruent along with the diagonals which are also congruent.

200

Is a trapezoid a parallelogram? If so, why? If not, why not?

A trapezoid isn't a parallelogram as it has only one set of sides that are parallel. Unlike a parallelogram that has two sets of sides that are parallel.

300

The points of parallelogram ABCD are (5,2) (8,2) , (5,8) and (8,8). Dilate this parallelogram into 1/2 and then rotate it 180 degrees clockwise. After these transformations what are the coordinates for the parallelogram?

(-2.5,-1) ,(-4,-1) ,(-2.5,-4) and (-4,-4).

400

In a triangle ABC the coordinates are (3,8), (4,5) and (2,9). Perform a 90-degree clockwise rotation to the triangle and then reflect it over the x-axis. What are the coordinates for the triangle after the transformations?

(8,3),(5,4) and (9,2)

Distances and Statistics

100

Name 3 different types of data distributions in a dot plot?

Symmetric Data, Skewed Left and Skewed Right.

200

In Line Segment AB there are 2 points. Point A (8,3) the starting point and Point C (5,4) the midpoint. Using this data find the coordinates for Point B the endpoint.

The coordinates for Point B are (2,5)

300

Rohan asked his friends about how many glasses of water each drank every day. This was the data he collected (2,4,5,5,5,6,6,8,9,11). Using the data Rohan collected to find the median, IQR and the outliers for the data.

The median is 5.5, the Iar is 4.5 while there are no outliers.

400

In a triangle, there are two points (4,5) and (9,8). Find the distance between both of the points?

(For Only this one Question you may use your calculators)

About 6.32 units.

Proofs, Constructions and Scatter Plots.

100

Why can't two triangles be proved congruent by using AAA triangle similarity?

Because the side lengths can still differ even though the angles are still the same.

200

Name the steps required for constructing a perpendicular bisector.

1. Place the compass at one end of the line segment.
2. Adjust the compass to slightly longer than half the line segment length.
3. Draw arcs above and below the line.
4. Keeping the same compass width, draw arcs from another end of the line.
5. Place ruler where the arcs cross and draw the line segment.

300

Name at least 3 proofs that do not require any other justifications.

Given.

All Vertical Angles are Congruent.

Reflexive.

400

In a scatter plot what are the 3 types of correlation? Explain what the correlations mean.

Positive Correlation: As one variable increases the other increases. 

No Correlation: As one variable increases the other neither increases nor decreases

Negative Correlation: As one variable increases the other decreases.