Quiz 2-5
Select all the statements that are true if the inclusive definition of a trapezoid is used.
- A rectangle is a trapezoid. - A square is a trapezoid. - A rhombus is a trapezoid. -A parallelogram is a trapezoid.
In the picture above, which statements are true? (Mark all that apply)
- Angle POM is complementary to Angle MOD - Angle DOL is supplementary to Angle LOC - Angle COK is supplementary to Angle KOD - Angle QOL is complementary to Angle LOD
Which of the following questions would result in categorical results?
- Do you prefer your hamburger with or without cheese? - What is your favorite type of cheese?
Which of the following questions would result in numerical results?
- How many times a day do you feed your pet? - How many pets do you have?
In the picture above, which statements are true? (Mark all that apply)
- Line PQ intersects Line CD - Line PQ intersects Line KL - Line PQ is perpendicular to Line CD - Line AB is parallel to Line EF
Which graphs are appropriate for categorical data?
- circle graph - pictograph - bar graph
The measure of angle WXZ is 90 degrees. The measure of angle WXY is 53 degrees. What is the measure in degrees of angle YXZ?
37
Angle RVU is a straight angle, and angle TVU has a measure of 40° in this figure. What is the measure of angle SVT?
50 degrees
What is the measure of angle BAC?
50 degrees
How many green triangles would it take to cover the yellow hexagon? A green triangle is there for reference.
6
How many orange squares it would take to fill up the black rectangle below? It already has one square for reference.
8
How many rectangles are in the plane figure?
8
Which shape is a quadrilateral with exactly one set of parallel lines and no perpendicular lines?
A
Each angle of an equilateral triangle has to be ___ degrees.
60
Which of the following represent defining attributes of this shape?
- closed shape - eight angles - eight sides
What types of angles does the shape below contain?
obtuse
Ray TU has been drawn on the protractor, as shown. To construct an angle that has a measure of 85 degrees, another ray can be drawn that starts at point T and passes through -
point R
A student draws 2 shapes. Which words describe both shapes?
quadrilateral
What type of figure is polygon T?
quadrilateral
Which group countains only polygons?
triangle, trapezoid, pentagon
Match each of the definitions with the correct type of triangle.
A triangle that has two sides of equal length. --> Isosceles Triangle A triangle that has 3 congruent sides. --> Equilateral Triangle A triangle that has 3 different length sides. --> Scalene Triangle A triangle that has one obtuse angle. --> Obtuse Triangle A triangle that has a right angle. --> Right Triangle A triangle that has only acute angles. --> Acute Triangle
Creating graphs is part of which step of statistical investigation?
Analyze the Data
Which group of figures contains only quadrilaterals?
B
Look at the image In the picture above, which statements are true? (Mark all that apply)
C
Which could be correct titles for the 2 circles below?
Circle A: parallelograms Circle B: non-parallelograms
Below is a graphic representation of the hierarchy of quadrilaterals. True or False: This quadrilateral model uses the inclusive definition of a trapezoid.
False
Which of these two-dimensional figures is also a rectangle?
II
True or False: All rectangles are parallelograms.
True
True or False: Every rhombus is a parallelogram.
True
Which of the following graphs would be most appropriate for recording the number of sneakers of each brand that were sold this month?
bar graph
Which of the following graphs would be most appropriate for sharing what percentage of their income a person spends on food, recreation, bills and transportation each month?
circle graph
Which of the following graphs would be most appropriate for recording the change in the number of motor vehicle crashes in US from 1899-2014?
line graph
Which of the following graphs would be most appropriate for recording the test grades of a class of 24 students?
line plot
True or False: Perpendicular lines are a special type of intersecting lines that always intersect at 90 degrees.
True
What is numerical data?
Values that are numbers such as counts, measurements, and ratings Represent objects or individuals by numbers assigned to certain measurable properties
Which best describes a rectangle?
a quadrilateral with 4 right angles
What is the measure of angle FAC?
130
Select all the statements that are true if the exclusive definition of a trapezoid is used.
- A rectangle is not a trapezoid. - A parallelogram is not a trapezoid. - A square is not a trapezoid. - A rhombus is not a trapezoid.
Mr. Varela asked his students to define a square in terms of other quadrilaterals. Which two of the following student definitions precisely define a square? (A precise definition of a square will only define a square and nothing else.) * Need to look over answer
- A square is a rectangle that has 4 sides of equal length. - A square is a rhombus that is also a rectangle.
Which of the following are examples of bias?
- A survey about cell phone usage is accessible only using a QR code instead of a link, paper, pencil, etc. - A study funded by cell phone companies found that cell phone use did not have negative impacts on health. - Families at the dog park were surveyed with the question: "What household pet is the best?"
How can teachers help students recognize defining attributes of shapes?
- Provide categories for shape sorts, such as number of sides - Show shapes in different orientations - Provide shapes that can be categorized in more than one way, such as squares
What is categorical data?
- Represent individuals or objects by one or more characteristics or traits that they share - Values that are often words that represent possible responses with respect to a given category
Select all of triangles that are possible.
- Right isosceles - Acute equilateral triangles - Right scalene - Obtuse isosceles -Obtuse Scalene -Acute isosceles - Acute scalene
Which of the following ideas connect with spatial reasoning?
- how objects look from different angles - how objects look on the inside - how parts of an object fit together - how objects look when they are rotated - the position of objects related to each other
Which of the following labels appropriately describes this triangle?
- scalene triangle - obtuse triangle
Which of the following labels appropriately describes this triangle?
-acute triangle -isosceles triangle
Anna measured the angle created by 3 slices of pizza. What could be the measurement of the angle?
105 degrees
What is the measure of angle KAD?
130 degrees
The sum of the interior angles of a triangle is _____ degrees?
180
Match each description with the step of statistical investigation it describes. A. The Juarez family wonders "What time does the mail usually come?" B. The Juarez family created a line plot to show what time the mail came each day. C. The Juarez family noticed a cluster of data around 3:15pm. They decided that the mail came around 3:15. D. The family decides to use the videos collected from their Ring doorbell camera to determine the time the mail came each day for the last 3 weeks.
Collect the Data --> D Analyze the Data --> B Pose the Question --> A Interpret the Data --> C
True or False: All rectangles are squares.
False
True or False: Every rhombus is a square.
False
rue or False: A circle is a polygon.
False
During the ___step of statistical investigation, the data you collected and analyzed is used to answer the original question of the investigation.
Interpret the Data
Which statement about the angles in the figure below is true?
It has 2 acute angles and 2 obtuse angles
In which drawing does line m appear to be perpendicular to line k?
J
What is the role of non-examples in supporting students in distinguishing between defining and non defining attributes?
Non-examples bring common misconceptions to the conversation.
Becca had three rugs in her bedroom as shown below. Which term correctly describes all 3 rugs?
Parallelogram
Match each description with the step of statistical investigation it describes. A. Hayden created a pie/circle graph to show the data. B. Hayden was asked to be the DJ for the End of Year Math Club Party. She asked all the math club members "What is your favorite genre of music?" C. The circle graph showed that the two most popular types of music were county and pop. Now she knew what to play at the party. D. Hayden created a survey in Google Forms and sent it to each of the members of the Math Club. All students responded.
Pose the Question -->B Collect the Data ---> D Interpret the Data --> C Analyze the Data --> A
What shape is represented below?
Rhombus
Determine whether each statement aligns with an inclusive or exclusive definition of a trapezoid.
Some parallelograms are trapezoids. --> inclusive No parallelograms are trapezoids. --> exclusive Rectangles are trapezoids. --> inclusive No trapezoids are parallelograms. -->exclusive
A quadrilateral is a polygon with four sides and four angles. The sum of the angles equals 360 degrees. A trapezoid and a rhombus are both quadrilaterals. Which statement is true?
The sum of the angles of a trapezoid equals 360 degrees.
True or False: At any point during the statistical investigation you may need to ask additional questions or collect more data.
True
True or False: Every square is a rhombus.
True
True or False: North Carolina uses the exclusive definition for a trapezoid.
True
