Question

geometry chapter 1 test review

1. name a line that contains point e.
2. name a point contained in line n.
3. what is another name for line p?
4. name the plane containing lines n and p.
5. name 3 collinear points.
6. what is another name for plane m.
7. what is the intersection of line j and line k?
8. what is another name for line j?

classify each angle as right, acute, obtuse, or straight.

1. ∠uzw
2. ∠yzw
3. ∠tzw
4. ∠tzy

Explanation:

Step1: Identify line for point E

From the first - given figure, line q contains point E.

Step2: Identify point on line n

From the first - given figure, point B is on line n.

Step3: Rename line p

From the first - given figure, another name for line p is line BG.

Step4: Name the plane with lines n and p

From the first - given figure, the plane containing lines n and p is the shaded plane (we can name it plane ABCD for example, but without specific naming convention in the problem, we can just refer to it as the plane in the first figure).

Step5: Find collinear points

From the second - given figure, points D, E, and F are collinear.

Step6: Rename Plane M

From the second - given figure, another name for Plane M could be Plane ADF (using three non - collinear points on the plane).

Step7: Find intersection of line j and line k

From the second - given figure, line j and line k are parallel, so they have no intersection (empty set ∅).

Step8: Rename line j

From the second - given figure, another name for line j is line DF.

Step9: Classify ∠UZW

From the third - given figure, ∠UZW = 22°+60° = 82°, so it is an acute angle.

Step10: Classify ∠YZW

From the third - given figure, ∠YZW = 34°+34° = 68°, so it is an acute angle.

Step11: Classify ∠TZW

From the third - given figure, ∠TZW = 22°+60°+30° = 112°, so it is an obtuse angle.

Step12: Classify ∠TZY

From the third - given figure, ∠TZY = 22°+60°+30°+34°+34° = 180°, so it is a straight angle.

Answer:

1. Line q
2. Point B
3. Line BG
4. The plane in the first figure
5. Points D, E, F
6. Plane ADF
7. ∅
8. Line DF
9. Acute
10. Acute
11. Obtuse
12. Straight