Download Geometry Test REVIEW 1.1 Name: 1.1 – 1.4 Period: ____ 1.1 Points

Geometry Test REVIEW 1.1
Name: ______________________
1.1 – 1.4
Period: ____
1.1 Points, Lines, and Planes
m
Use the given figure to answer questions 1 – 4.
1. Name a set of any three collinear points: {____B___, ____C___, ____D___}
2. Rename Plane N using three noncolinear points:
one of the following in any order: ABC, ABD, or ACD
3.
a. Lines that intersect, do so at a common point.
b. In the given figure, the two lines, ________AC_____ and ________BD_____, intersect at ____C_____.
c. Sketch and label line m intersecting Plane F at Point E. See figure above.
4.
a. Planes that intersect, do so on a common line.
b. In the given figure, the two planes, ______F_____ and ______N_____, intersect at ______BD_______.
Draw and label each of the following:
5. a segment with endpoints M and N
M
6. a ray with endpoint F that passes through some Point G
N
F
G
Use the given figure to answer question 7.
7. Name the pair of opposite rays: _______CB______ and _______CA______
8. Opposite rays form a line or straight angle.
1.2 Measuring and Constructing Segments
Use the given figure to find the length of each segment:
9. Segment AB
10. Segment DX, where X is an unknown coordinate
Show work here:
Show work here:
3.5 units
5 – X or X - 5
__________
__________
11. B is some point between points A and C. Segment AC = 15.8 and segment AB = 9.9.
a. Draw segment AC containing point B and label the length of each given segment. Check with Corlett.
b. Using your picture from part a, and the Segment Addition Postulate determine the length of segment BC.
_______5.9_____ units
12. Use the given figure in order to determine the following:
Show work here:
a. y = _____4______ (by the Segment Addition Postulate)
b. the length of segment NP = _____12_____ (by substitution)
13. Point K is the midpoint of segment JL, LK = (4x – 2) and JK = 14.
a. Draw and label segment JL with midpoint, K. Be sure to use tick marks where needed. Check with Corlett.
Show work here:
b. The value of x = ______4_____ (by the definition of midpoint.)
1.3 Measuring and Constructing Angles
14. ∠A is an acute angle. ∠O is an obtuse angle. ∠R is a right angle.
List ∠A, ∠O, and ∠R in order from least to greatest by measure.
______∠O_______, ______∠R_______, _______∠A______
15. ∠BCD is a right angle.
a. Draw and label ∠BCD. Be sure to include the “right angle symbol.” Check with Corlett.
b. Name the vertex of the angle: C
c. Name the two rays that form the angle: _______CB______ and _______CD______
16. Draw and label ∠XYZ . Then name the angle two different ways. Check picture with Corlett.
∠Y and ∠ZYX
Use the given protractor to find the measure of each angle. Then classify each as acute, right, or obtuse.
17. ∠VXW
_______15° ____; acute
18. ∠SXT
_______55° ____; acute
19. ∠VXS
_______145° ___; obtuse
20. L is in the interior of ∠JKM. Given: m∠JKL = 42° and m∠LKM = 28°;
a. Draw and label ∠JKM including ∠JKL and ∠LKM. Check with Corlett.
b. the m∠JKM = _____70° ____ (by the Angle Addition Postulate)
21. Ray BD bisects ∠ABC. Given: m∠ABD = (6x + 4)° and m∠DBC = (8x - 4)°;
a. Draw and label ∠ABC being bisected by Ray BD. Check with Corlett.
b. the m∠ABD = ______28° ____ (by the definition of Angle Bisector)
1.4 Pairs of Angles
22. Use the given figure in order to complete the following questions.
a. Name two pairs of adjacent angles that are NOT linear pairs: ∠1 & ∠2 and ∠3 & ∠4
b. Name a linear pair of angles: ∠2 & ∠3 or ∠1 & ∠4
c. If m∠3 and m∠4 have a sum of 90, then the pair of angles are said to be complementary.
d. If m∠2 is 130 degrees, then its supplement is 50 degrees.
e. Add on to given figure in order to create a pair of vertical angles, ∠5 and ∠6. See figure above.
23. The m∠A = (34 + x)° and m∠B = (y – 76)°. Determine the following:
a. The complement of ∠A: (56 – x)°
Show work here:
b. The Supplement of ∠B: (256 – y)°
Show work here:
5
6
24. A and B form a linear pair and therefore are supplementary.
Given: mA = (5x)° and mB = (17x – 18)°, find mA:____45°___ and mB:___135°___
Show work here:
25. A and B form a right angle and therefore are complementary.
Given: mA = (5y + 1)° and mB = (3y – 7)°, find mA:___61°____ and mB:___29°____
Show work here:
26. A and B are vertical angles and therefore are congruent.