Question

ame: mailevy supoin 1. -1 quiz geometry: mr. mill part 1 - use the diagram to answer the following questions 1 - 6. 1) name the lines that are only on plane r. 2) how many planes are labeled in the diagram? 3) name a point that is coplanar with p, h, and l. 4) name the intersection of lines z and q. 5) name a point that is not coplanar with points a, b, and c. 6) name three points are collinear. 7) what is another name for line m? 2 - draw the following. lines a, b, and c all intersect at point j. lines a and b lie in plane x. line c intersects plane x. planes x and y intersect at line a. planes y and z intersect at line b. planes x and z do not intersect.

Explanation:

Step1: Identify lines on plane R

By observing the diagram, lines $m$ and $t$ are only on plane $R$.

Step2: Count labeled planes

There are 2 planes labeled ($R$ and $X$).

Step3: Find coplanar point

Points in the same plane as $P$, $H$, and $L$ are in plane $X$. Point $G$ is coplanar with $P$, $H$, and $L$.

Step4: Determine intersection of lines

Lines $z$ and $q$ intersect at point $H$.

Step5: Find non - coplanar point

Points $A$, $B$, and $C$ are in plane $R$. Point $P$ (for example) is not in plane $R$, so it is not coplanar with $A$, $B$, and $C$.

Step6: Identify collinear points

Points $D$, $C$, and $Y$ (for example) are on the same line (the vertical line $z$), so they are collinear.

Step7: Rename line m

Line $m$ can also be named line $AB$ (since a line can be named by any two points on it).

Answer:

1. Lines $m$ and $t$
2. 2
3. Point $G$
4. Point $H$
5. Point $P$ (among others)
6. Points $D$, $C$, $Y$ (among others)
7. Line $AB$