Unit 9 - Coordinate Geometry 10 (?) Reteach

Given the green and purple line are perpendicular what is the slope of the purple line.

Answer explanation

What is the slope of the line you would use to construct the line on the graph through point J.

Answer explanation

The Bermuda Triangle is a region formed by Miami, San Jose, and Bermuda. The approximate coordinates of each location are shown in the picture above. In a coordinate proof what needs to be demonstrated to prove that the Bermuda Triangle is scalene, choose all that apply.

• All the sides have the same slope

• All the sides have opposite reciprocal slopes

• All the midpoints are the same

• All the distances are the same

• All the distances are different

Answer explanation

Given the point for quadrilateral ASTB how would I prove: $\overline{ST}\parallel\overline{AB}$  

• Prove both the sides are the same length of bc

• Prove both the sides are the same length of ab

• Prove both the sides are the same length of ac

• Prove both the sides have a slope of 0 using the slope formula

• Prove both the sides have opposite reciprical slope using the slope formula

Answer explanation

Which of the following would be used to prove that OLMN is a parallelogram, check all that apply

• $\overline{OL\ }\ and\ \overline{NM}\ have\ a\ slope\ of\ \frac{m}{l}$

• $\overline{OL}\ and\ \overline{NM}\ have\ a\ slope\ of\ \frac{l}{m}$

• $\overline{LM\ }\parallel\overline{ON}\ because\ they\ both\ have\ a\ slope\ of\ 0$

• $\overline{LM}\perp\overline{ON}\ because\ they\ both\ have\ a\ slope\ of\ 0$

• $\overline{LM}\ \perp\ \overline{ON}\ because\ their\ slopes\ are\ opposite\ recipricals\ \frac{m}{l}\&-\frac{l}{m}$

Answer explanation

Given: WXYZ is an Isosceles Trapezoid, What is the coordinate value of Y:

*Write your answer without spaces

Answer explanation

Which of the following would be used in a coordinate proof to prove quadrilateral WXYZ is an isosceles trapezoid.

• $\overline{XY}\ \parallel\ \overline{WZ}\ because\ they\ both\ have\ slopes\ of\ 0$

• $\overline{WX}\ \perp\ \overline{YZ}\ because\ their\ slopes\ are\ opposites\ \left(\frac{y}{x}\&-\frac{y}{x}\right)$

• $\overline{WX}\ \perp\ \overline{YZ}\ because\ their\ slopes\ are\ opposite\ recipricals\ \left(\frac{y}{x}\&-\frac{x}{y}\right)$

• $\overline{XY}\ \cong\ \overline{WZ}\ because\ they\ have\ a\ slope\ of\ 0$

• $\overline{WX}\ \cong\ \overline{YZ}\ because\ they\ have\ the\ same\ dis\tan ce\ \left(\sqrt{x^2+y^2}\right)$

Answer explanation

Given the vertices Y(1,-4), E(3,0), A(-1,2), R(-3,-2), Prove that YEAR is a square. Which of the following is used in the proof?

• The Slopes of 2 of the sides are 2

• The Slopes of 2 of the sides are 1/2

• The Slopes of 2 of the sides are -1/2

• The Slopes of adjacent sides are opposite reciprocals so all the sides are perpendicular making it a rectangle

• All the distances are the same $\sqrt{20}$ , making all the sides congruent so the quadrilateral is a rhombus

Answer explanation

 $Given:\ T\ is\ the\ midpoint\ of\ \overline{BC}$   $Given:\ S\ is\ the\ midpoint\ of\ \overline{AC}$  

What are the values of points S and T:

• S: (b, c)

• S: (a, b)

• S: (a, c)

• T: (2a-b, c)

• T: (2b+a, c)

Answer explanation

Which of the following would be used in your coordinate proof, check all that apply.

• $\overline{AC}\ \&\ \overline{BD}\ share\ a\ common\ midpoint\ of\ \left(1.5,\ 1\right)$

• $\overline{AC}\ \cong\ \overline{BD}\ because\ they\ have\ the\ same\ dis\tan ce\ \left(\sqrt{3^2+\left(-4\right)^2}\right)$

• $\overline{AB}\ \cong\ \overline{CD}\ because\ they\ both\ have\ a\ dis\tan ce\ of\ 6$

• $\overline{AB}\ \parallel\ \overline{CD}\ because\ they\ both\ have\ a\ slope\ of\ 0$

• $\overline{AD}\ \parallel\ \overline{BC}\ because\ they\ both\ have\ a\ slope\ of\ \frac{4}{3}$

Answer explanation