# Recent questions in Coordinate Geometry

Recent questions in Coordinate Geometry
Mariah Sparks 2022-07-29

### Points P, Q, R, S, T, and U are all different points lying in the same plane. Points P, Q, andU lie on the same line. The line through points P and Q is perpendicular to the line through points R and S. The line through points R and S is perpendicular to the line through points T and U. Which of the following sets contains points that must lie on the same line?

Shannon Andrews 2022-07-28

### Find PD if coordinate P is -7 and coordinate of D is -1.

anudoneddbv 2022-07-27

### Consider an incidence geometry in which every line has at least three distinct points (rather than at least two as requiblack by the second axiom of Incidence Geometry). What are the least number of points and lines that must exist? Note: You can show the existence of such a "minimum" geometry by constructing a model for it. On the other hand, you have to prove that there cannot be a model with less points or lines

Jaxon Hamilton 2022-07-26

### Draw a line l and a point P not on l. Construct a perpendicular to l through P. Describe the construction steps and prove the steps are valid (i.e., that the line you construct is perpendicular to L.

Brenton Dixon 2022-07-26

### A soccer player passes the ball from a point that is 18 yards from the endline and 12 yards from the sideline. The pass is received by a teammate who is 42 yards from the same endline and 50 yards from the same sideline, as shown in the figure. How long is the pass? (Round your answer to the nearest yard.)

Matias Aguirre 2022-07-26

### 14. Use the coordinate rules to rotate triangle ABC 90 degrees counterclockwise around the origin. List the coodinates and draw the image of triangle A'B'C'.(a, b) ---- (___, ____)A(-1, -2) ---- A' (____,____)B(1, 2) ------B' (___,____)C(3, -1) -----C' (___,____)15. Find the matrix that results from a 270 degree counterclockwise rotation of triangle A'B'C'16. Why would you expect triangle A"B"C" to have the same vertices as triangle ABC from problem 14?

Paxton Hoffman 2022-07-25

### 8. Graph the reflection of AB in the x-axis9. Locate a point C on the x-axis such that AC + BC is minimized.C = (______, 0 )10. Fill in the values to complete item 8 with matrix multiplication.

Glenn Hopkins 2022-07-23

### The sphere ${x}^{2}+{y}^{2}+{z}^{2}-2x+6y+14z+3=0$ meets the line joining $A\left(2,-1,4\right),B\left(5,5,5\right)$ in the points $C$ and $D$. Prove that $AC:CB=-AD:DB=1:2$

Ibrahim Rosales 2022-07-20

### Point $A$ has coordinates $\left({x}_{1},{y}_{1}\right)$, point $B$ has coordinates $\left({x}_{2},{y}_{2}\right)$ andpoint $M$ has coordinates $\left(\frac{{x}_{1}+{x}_{1}}{2},\frac{{y}_{1}+{y}_{1}}{2}\right)$Prove that $AM=\frac{1}{2}AB$

Lisa Hardin 2022-07-19

### If the points $A\left(1,-2\right),B\left(2,3\right),C\left(-3,2\right)$ and $D\left(-4,-3\right)$ are the vertices of parallelogram $ABCD$, then taking $AB$ as the base, find the height of this parallelogram.

aanpalendmw 2022-07-16