HSG.CO.A.1
This is the name of the angle formed by ray BA and ray BC.
What is angle ABC?
What are rulers and protractors?
A line segment from (0, 0) to (4, 6) is reflected across the y-axis. These are the coordinates of the reflected line segment.
What is (0, 0), (-4, 6)?
This is a conditional statement.
What is an "if - then" statement?
This is the difference between an explanation and a justification in math.
Explanation: What are the steps taken to perform a procedure?
Justification: What are the steps taken and additionally, the reasons why the steps taken are mathematically correct?
The name of the vertex in the angle below.
What is Y?
Two tools used for drawing constructions in Geometry class, and tools not used for drawing constructions in Geometry class.
What are compasses and straight-edges (tools used for drawing constructions), and what are measuring tools (tools not used for drawing constructions).
The length of line BC in triangle ABC.
What is 13 units?
This is the converse of the statement, "if the triangle's three angles are congruent then it is equilateral."
What is, "if the triangle is equilateral, then its three angles are congruent."
These are the steps (aka, "explanation") for for the solution for the equation below:
2(3+x)=10
What are:
The angles in a 30o-60o-90o triangle after it is rotated clockwise 45o.
What is 30o-60o-90o ?
Tool used for drawing a precise circle in geometry.
What is a compass?
This is the distance between (-5, 0) and (0, 3) rounded to 2 decimal places.
What is 5.83 units?
The explanation of why 22 + 33 = 42 is true or false.
What is false because 4 + 9 does not equal 16?
This is the justification for the solution of the equation below:
2(3+x)=10
What is:
These are the pairs of lines that appear to be perpendicular.
What are lines k and m; p and s; and q and s?
Tools used for precisely copying line segments and angles in Geometry class?
What is a compass and straight-edge
This is the midpoint of line segment AB which has point A at (0,3), and point B at (5, 3).
What is (2.5, 3)?
In triangle ABC, this is the measure of angle DAB if the measure of angle CAD is 29o, and this is why.
What is 29o? Because the single hash mark on each of the two angle arcs indicates the two angles are congruent and, since we know angle CAD is 29o, then DAB must also be 29o.
While not required, this is the typical visual aid used when writing a formal proof.
What is a T-chart?
This is the measure of angle DBE.
What is 25.5o?
When an angle bisector is constructed this is the relationship between the two resulting angles.
What is congruence? (Aka, the angles have the same measure. The sum of their measures is equal to the measure of the original angle.)
This is the distance of the midpoint of line segment AB from point A(0, 3) to its midpoint when the other endpoint B is located at (4, 0).
What is 2.5 units?
We have determined that correct measure of angle XYZ is one of the following: 120o, 90o, 180o, or 30o. This is only correct angle measure and why.
What is 30o? Since the drawn angle appears to be acute, by the definition of "acute," the only given measurement that qualifies is 30o.
Here are at least two of the several key elements of a formal proof.
What are two of the following elements?
- Claim(s) or Given(s)
- (Mathematical) Statements
- Reasons or Justifications
- Conclusion or final statement and justification