Name __________________________________ Period _____________
Date ____________________________ Mrs. Schuler
Geometry
1st Q Cumulative Review Sheet
1. In the diagram below m<1 = 2x + 14 and the m<2 = 4x -12. If AB || CD, find the
degree of m<2.
1
2
ANSWER: <2 = 44O
1. Transversal
intersects
and
, as shown in the diagram below.
Make as many statements about the angle relationships as you can find.
a.
b.
c.
d.
e.
f.
2.
Vertical angles ---Alternate interior angles
Alternate exterior angles
Interior on same side of transversal
Exterior on same side of transversal
Corresponding angles
A wall between the floor and ceiling of a house forms a 90 degree angle
with the floor. The builder wants to make sure that the floor and ceiling
are parallel. What degree should the angle of the ceiling and the wall be?
Answer: 90O
3.
When writing a geometric proof, which angle relationship could be used alone
to justify that two angles are congruent?
Answer possibilities: Vertical angles, alternate interior angles or
alternate exterior angles.
4. The angles of triangle ABC are in the ratio of 2:3:6. What is the measure of the
largest angle? Of the smallest angle?
Answer: 32.7 or about 33 is the smallest angle, 98.2 or about 98 is the largest
angle.
5. Give 3 examples of lengths that can not form the sides of a triangle.
6. Describe the properties of a scalene triangle.
7. Review factoring with GCF.
8. State the properties of the following:
a.
b.
c.
d.
an acute triangle?
Isosceles triangle
Obtuse triangle
Right triangle
9. Give the length of sides of 2 pythagoren triples.
10. The diagram below represents a rectangular solid. (Q21, 1/12)
Which edges are coplanar? Which edges are skew?
Answer: coplanar- AB and DC are coplanar, FG and AD
Skew – EF and BC are skew
11. Plane A is parallel to plane B. Plane C intersects plane A in line m and intersects
plane B in line n. What is the relationship of lines m and n are: (Q20, 8/2011)
Answer: the lines are parallel
12. If two distinct planes, A and B, are perpendicular to line c, then what is the
relationship between the 2 planes? What can you say about the intersection of
planes A and B?
Answer: the 2 planes are parallel.
13. The diagram below shows a rectangular prism.
Which pair of edges are segments of lines that are coplanar? (Q5,1/11)
Example answer: AE and DH, or AE and CG
14. Given an isosceles triangle, A = 66o . What are the values of x and y?
A
ANSWER: X = 66 DEGREES AND Y = 48 DEGREES.
15. Review lengths of sides and degrees of angles relationship
16. Gvien angles, order length of sides from smallest to longest
17. Given angles of a triangle in terms of x, find the longest and smallest angles.
m<A = 6x + 5
m<b = x – 10
m<C=3x + 20
a. Find each angle.
ANSWERS: <A = 104o, <B = 6.5o and <C=69.5o
18. Exterior angle rule and examples
19. Know a+b>c
20. Know Pythagorean theorem.