Geometry Exam Review Ch. 1-6
Find the sum of the measures of the exterior angles of a convex 39-gon
360
Find the slope of any line parallel to the line passing through G(4,-3) and H(-1, 4)
4--3/-1-4= 7/-5
Find m<MNP in isosceles trapezoidi MNOP.
42
Find the value of x if AD is a median?
5
Find the slope of the line passing through (1,3) and (-2, 5)
5-3/-2-1= 2/-3
Given m<10= 5x + 2 and m<6 = 3x +28, find the value of x
5x+2= 3x +28 x= 13
What is m <1?
60
What m<4?
60 +40= 100
Find the coordinates of the midpoint of LB, (8,5) and B(6, -2)
7, -3/2
Determine if a triangle can be formed using the following measures for the sides. 9,40, 41
9 + 40= 49; yes
Find the measure <13
90
Find measure of <10
95
Find the value of y if AD is an altitude
<90
Which 2 acute angles are complementary by theorem?
<ABC & <DEF
Identify the remote interior angles for
<D & <F <D &<E
In DEF identify the legs
<ED & <DF
What symbol is used to indicate that 2 angles are congruent?
=(with squiggly line)
Write the inverse of the following statement If x= 2, then x +3= 5
If x is not 2, then x + 3 does not = 5
Write the contrapositive of the following statement. If x= 2, then x +3= 5
If x+3 does not =5, then x does not = 2.
In JKL identify the legs
JL & KL
Which law can be used to determine that (3) is a valid conclusion of statements (1) and (2) ? (1) If a figure has 4 right angles, then the figure is a rectangle (2) A rectangle has 2 pairs of parallel sides (3) If a figure has 4 right angles, then the figure has 2 pair of parallel sides
Law of Syllogism
Which law can be used to determine that statement (3) is a valid conclusion to statements (1) and (2)? (1) If an angle is acute, then it cannot be obtuse (2) <A is acute (3) <A cannot be obtuse
Law of detachment
if m<CAG =a +20 and m<AGF= 2a +10, find m<ACF
a=110
A ray that divides an angle into two congruent angles
angle bisector
What is the slope of any line perpendicular to the line y= -3
Undefined
In a trapezoid, name given to the 2 parallel sides
bases
Identfiy the angle relation for <11 and <14
consecutiive interior angles
Points that lie in the same place
coplanar
Identify the angle relation for <10 and <14
corresponding angles
Item that is given to disprove a statement
counterexample
In a polygon, a segment joining nonconsecutive vertices of the polygon
diagnal
The exterior angle of a triangle compared to a remote interior angle is always
greater than
Reasoning that uses a # of specifici examples to arrive at a plausible generalization or prediction
inductive reasoning
What describes this figure?
irregular concave hexagon
JKL can be classified as a
isosceles triangle
An angle with degree measure greater than 90 and less than 180
obtuse
A quadrilateral in which both pairs of opposite sides are parallel
parallelogram, rhombus, square
Make a conjecture about the next object in this sequence and draw it
shade in heptagon
Two nonadjacent angles formed by two intersecting lines
vertical
What is x for perimeter of 108 kilometers?
x= 105
Find y if B is between A and C, AB is 2y, BC is 4y, AC is 48
x= 24
If AG=2x +10 and CF= 5x -2, find the value of x
x=-4
Find x. 5x + 30= 360
x=66
If AX=4y +3 and XF =2y +7, find the value of y.
y=2
If m<GAC=112, find m<ACF
180-112=68
Find the slope of the line passing through J(0,5), K(-3, 2)
2-5/-3-0= -3/-3= 1
Given the measures of 13 and 23, a triangle could be formed when x has value between 10 and 36
23-13= 10 23+13= 26 True
The length of one base of a trapezoid is 19 meters and the length of the median is 23 meters. Find the length of the other base.
23-19= 4 23+4= 27
Find the measure of angle T
30
Name the intersection of the plane P and the plane that contains points B, C, and D
BC (with arrow)
Name an angle bisector
CF
Name an altitude
ED
The 3 perpendicular bisectors of an obtuse triangle intersect on the figure itself
F
Name 3 points in the figure are collinear
FEG
Name three points in the figure NOT in plane P
FGD
Name a perpendicular bisector
GB
The assumption you would make to start an indirect proof, provided the following information would be to assume
Given: a]]b Prove: 1&2 are not supplementary F
Identify the hypothesis of the statement Jack will go to school if today is Monday
If today is Monday, Jack will go to school
Find the sum of the measures of the interior angles of a convex 45-gon
(n-2)(180) 7740
Find the slope of any line perpendicular to the line passing through (1, 5) & (-1, 0)
0-5/ -1-1= 5/2= -2/5
How many planes can be drawn through any three noncollinear points?
1 plane
If CJW = (with sqiggly line) AGS, m<A= 50 , m<J=45 and m<S= 16x +5, what is x?
16x +5=95 x=5
Name a median
AB
Which postulate can be used to prove the triangles congruent?
SAS
Identify the property that justifies the following statement. x=2 and x + y =3 , then 2 + y = 3
Substitution
The 3 angle bisectors of any triangle intersect in the interior of the triangle
T
The 3 medians of a triangle will intersect in the interior of all triangles
T
The perpendicular segment from a point to a line or a point to a plane is the shortest segment
T