Unit 3- Using Tools of Geometry

Question 0

duplicating a segment means

Answer 0

copying a segment and it’s exact length

Question 1

construction

Answer 1

mathematical term meaning a figure is created using a compass and a straightedge

Question 2

duplicating an angle means

Answer 2

copying and angle and it’s exact measure

Question 3

segment bisector

Answer 3

like ray or segment in a plane that passes through the midpoint of a segment in a plane

Question 4

perpendicular bisector

Answer 4

a segment bisector that is also perpendicular to the segment

Question 5

perpendicular bisector conjecture –

if a point is on the perpendicular bisector of a segment, then it is _______ from the end points

Answer 5

equidistant

Question 6

converse of the perpendicular bisector conjecture –

if a point is equidistant from the end points of a segment, then it is on the ______ of the segment

Answer 6

perpendicular bisector

Question 7

constructing the perpendicular bisector also locates the _____ of a segment

Answer 7

midpoint

Question 8

median

Answer 8

segment connecting the vertex of a triangle to the midpoint of its opposite side

Question 9

mid-segment

Answer 9

segment that contains the midpoints if two sides of a triangle

Question 10

distance (from point to a line)

Answer 10

the length of the perpendicular line segment from the point to the line

Question 11

shortest distance conjecture –

the shortest distance from a point to a line is measured along the _________________ from the point to the line

Answer 11

perpendicular segment

Question 12

altitude

Answer 12

a perpendicular segment from a vertex to the opposite side or to a line containing the opposite side

Question 13

angle bisector conjecture –

if a point is on the bisector of an angle, then it is __________ from the sides of the angle

Answer 13

equidistant

Question 14

converse of the angle bisector conjecture –

if a point is equidistant from the sides of an angle, then the point is on the __________ of the angle

Answer 14

bisector

Question 15

linear pair conjecture – if two angles form a linear pair, then _______________________

Answer 15

the measures of the two angles add up to 180*

Question 16

vertical angles conjecture – if two angles are vertical angles, _____________________________

Answer 16

then they have equal measures (are congruent)

Question 17

transversal

Answer 17

a line intersecting two or more other lines in the plane

Question 18

corresponding angles (CA) conjecture – if two parallel lines are cut by a transversal, then corresponding angles are ________

Answer 18

congruent

Question 19

alternate interior angles (AIA) conjecture – if two parallel lines are cut by a transversal, then alternate interior angles are _________

Answer 19

congruent

Question 20

alternate exterior angles (AEA) conjecture – if two parallel lines are cut by a transversal, then alternate exterior angles are _______

Answer 20

congruent

Question 21

parallel lines conjecture – if two parallel lines are cut by a transversal, then corresponding angles are _______, alternate interior angles are _______, and alternate exterior angles are _______

Answer 21

congruent

Question 22

slope

Answer 22

a constant rate of change

change in y
___________
change in x

Question 23

slope intercept

Answer 23

y=a+bx

Question 24

point slope form

Answer 24

y=y1+b(x-x1)

Question 25

parallel lines have the same ______ but the ______ are different

Answer 25

slope

y intercept

Question 26

perpendicular lines have ____ _____ ____

Answer 26

opposite reciprocal slopes

Question 27

concurrent

Answer 27

when three or more lines meet at a single point

Question 28

the point of concurrency of the angle bisectors

Answer 28

incenter

Question 29

angle bisectors are used to find the ______ of a triangle, which can be used to _______ a circle in the triangle

Answer 29

incenter

inscribe

Question 30

point of concurrency of the perpendicular bisectors

Answer 30

circumcenter

Question 31

perpendicular bisectors are used to find the ______ of a triangle, which can be used to ______ a circle around the triangle

Answer 31

circumcenter

circumscribe

Question 32

point of concurrency of the altitudes

Answer 32

orthocenter

Question 33

point of concurrency of the medians

Answer 33

centroid

Question 34

medians are used to find the ______ of a triangle, which divides each median into two parts so that the distance from the centroid to the vertex is _____ the distance from the centroid to the midpoint of the opposite side

Answer 34

centroid

twice