Geometry Essentials Review

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Geometry Essentials
Name _____________________________________
REVIEW 2.5 – 2.8
For numbers 1 – 4, determine if the statement is always (A), sometimes (S), or never (N) true.
1. If two points lie in a plane, then the entire line containing those points lies in that plane.
2. A line contains exactly one point.
3. Two lines intersect to form right angles.
4. Three collinear points are contained in a plane.
For numbers 5 – 6, solve for x. Find the measure of the indicated angle and give a reason that justifies your work.
5. If m∠1 = (x + 50) and m∠2 = (3x – 20), find m∠1.
x =
m∠1:________________
m∠2:________________
Reason:____________________________________
°
°
6. If m∠1 = 2
and m∠2 =
, find m∠1.
x =
m∠1:________________
m∠2:________________
Reason:____________________________________
For numbers 7 – 14, state the definition, property, postulate, or theorem that justifies each statement.
7. If XY = WZ, then XY + TU = WZ + TU
8. If X is the midpoint of
, then
.
9. If ∠K ≅ ∠P and ∠P ≅ ∠T, then ∠K ≅ ∠T.
10. If m∠W + m∠H = 90 and m∠H = 20, then m∠W + 20 = 90.
11. If ∠ 1 and ∠ 2 are vertical angles, then ∠ 1 ≅ ∠ 2
12. If
then AT = DR.
13. AB + BC = AC
14. If 4x = 20, then x = 5.

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