Solutions Manual For Exploring Geometry 2nd Edition By
Michael Hvidsten 9781498760805 ALL CHAPTERS .
what notation is used to represent the distance from point a to b? - ANSWER: ab
the distance from point a to point is ___ units
a=1
b = 6 - ANSWER: 5
what must be true in order for two lines to be parallel?
select all that apply. - ANSWER: the lines must never intersect
the lines must be in the same plane
what is the definition of perpendicular lines? - ANSWER: perpendicular lines are two lines that
intersect to form four congruent right angles.
two coplanar lines that never intersect are called parallel lines.
what information, if any, should be changed in the previous sentence to correctly define parallel
lines? - ANSWER: the sentence does not need to be changed.
use the image to help you complete this problem. - ANSWER: point: b
line: ac
plane: p
the distance between two points on a number line can be found by taking the ____ of the ____ of the
coordinates. - ANSWER: blank 1: absolute value
blank 2: difference
the distance between point a and point b is
point a = -2
point b = 3 - ANSWER: | -2 - 3| = 5
what term does the description "two lines that intersect to form four congruent right angles" define?
- ANSWER: perpendicular lines
LESSON 2
which notation is used to name the line segment? - ANSWER: line segment AB (a line on top)
a segment is on a number line with endpoints at -13.6 and -6.2.
what is the length of the segment? - ANSWER: 7.4
what term does the statement "the set of all points in a plane that are equidistant from a given point"
define? - ANSWER: circle
, what term does the statement "a figure formed by two rays that share a common point" define? -
ANSWER: angle
a protractor is used on an angle. one day of the angle is at 13° and the other rat is at 57°.
what is the measure of the angle? - ANSWER: 57° - 13° = 44°
what term does the statement "the set of all points on a circle between two given points on the
circle" define? - ANSWER: arc
a segment is on a number line with endpoints at 2.8 and 4.6.
what is the length of the segment? - ANSWER: |2.8 - 4.6| = 1.8
a protractor is used on an angle. one ray of the angle is at 46° and the other day is at 95°.
what is the measure of the angle? - ANSWER: 95° - 46° = 49°
lesson 4
conditional statement
let pp be the statement "i do my chores," and let qq be the statement "i get my allowance."
which statement uses pp as the hypotheses and qq as the conclusion? - ANSWER: if i do my chores,
then i get my allowance.
which statement is correctly written as a conditional statement? - ANSWER: if four is a perfect square,
then you can evaluate its square root.
use the conditional statement to answer the question.
if a polygon has three sides, then it is a triangle.
what is the converse of the given conditional statement? - ANSWER: if a polygon is a triangle, then it
has three sides.
which of the following statements is biconditional? - ANSWER: a number is an even number if and
only if it is divisible by
which statement is correctly written as a conditional statement?
if a shape has four sides, then it is a quadrilateral.
a shape has four sides when it is a quadrilateral.
any four-sided shape is a quadrilateral.
a shape has four sides, or it is a quadrilateral. - ANSWER: if a shape has four sides, then it is a
quadrilateral
use the definition of a parallelogram to complete the biconditional statement.
a parallelogram is a quadrilateral with two pairs of parallel sides.
a quadrilateral is a parallelogram _[blank]_.
which answer correctly fills in the blank in the previous sentence? - ANSWER: if and only if it has two
pairs of parallel sides
Michael Hvidsten 9781498760805 ALL CHAPTERS .
what notation is used to represent the distance from point a to b? - ANSWER: ab
the distance from point a to point is ___ units
a=1
b = 6 - ANSWER: 5
what must be true in order for two lines to be parallel?
select all that apply. - ANSWER: the lines must never intersect
the lines must be in the same plane
what is the definition of perpendicular lines? - ANSWER: perpendicular lines are two lines that
intersect to form four congruent right angles.
two coplanar lines that never intersect are called parallel lines.
what information, if any, should be changed in the previous sentence to correctly define parallel
lines? - ANSWER: the sentence does not need to be changed.
use the image to help you complete this problem. - ANSWER: point: b
line: ac
plane: p
the distance between two points on a number line can be found by taking the ____ of the ____ of the
coordinates. - ANSWER: blank 1: absolute value
blank 2: difference
the distance between point a and point b is
point a = -2
point b = 3 - ANSWER: | -2 - 3| = 5
what term does the description "two lines that intersect to form four congruent right angles" define?
- ANSWER: perpendicular lines
LESSON 2
which notation is used to name the line segment? - ANSWER: line segment AB (a line on top)
a segment is on a number line with endpoints at -13.6 and -6.2.
what is the length of the segment? - ANSWER: 7.4
what term does the statement "the set of all points in a plane that are equidistant from a given point"
define? - ANSWER: circle
, what term does the statement "a figure formed by two rays that share a common point" define? -
ANSWER: angle
a protractor is used on an angle. one day of the angle is at 13° and the other rat is at 57°.
what is the measure of the angle? - ANSWER: 57° - 13° = 44°
what term does the statement "the set of all points on a circle between two given points on the
circle" define? - ANSWER: arc
a segment is on a number line with endpoints at 2.8 and 4.6.
what is the length of the segment? - ANSWER: |2.8 - 4.6| = 1.8
a protractor is used on an angle. one ray of the angle is at 46° and the other day is at 95°.
what is the measure of the angle? - ANSWER: 95° - 46° = 49°
lesson 4
conditional statement
let pp be the statement "i do my chores," and let qq be the statement "i get my allowance."
which statement uses pp as the hypotheses and qq as the conclusion? - ANSWER: if i do my chores,
then i get my allowance.
which statement is correctly written as a conditional statement? - ANSWER: if four is a perfect square,
then you can evaluate its square root.
use the conditional statement to answer the question.
if a polygon has three sides, then it is a triangle.
what is the converse of the given conditional statement? - ANSWER: if a polygon is a triangle, then it
has three sides.
which of the following statements is biconditional? - ANSWER: a number is an even number if and
only if it is divisible by
which statement is correctly written as a conditional statement?
if a shape has four sides, then it is a quadrilateral.
a shape has four sides when it is a quadrilateral.
any four-sided shape is a quadrilateral.
a shape has four sides, or it is a quadrilateral. - ANSWER: if a shape has four sides, then it is a
quadrilateral
use the definition of a parallelogram to complete the biconditional statement.
a parallelogram is a quadrilateral with two pairs of parallel sides.
a quadrilateral is a parallelogram _[blank]_.
which answer correctly fills in the blank in the previous sentence? - ANSWER: if and only if it has two
pairs of parallel sides
