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