A window is made of two triangular panels of glass, as shown.
It is given that WX≅WY and WZ bisects XY
Four students explain how they can prove the two triangular panels, △XWZ
and ,△YWZ, are congruent.
Which student is correct? - answer Trisha says that it is given that WX≅WY. Since WZ
bisects XZ≅YZ , and WZ is congruent to itself. Then, by the SSS Congruence Postulate
△XWZ≅△YWZ.
what notation is used to represent the distance from point AA to B ? – answer AB
use the number line to complete the sentence .
the distance from point AA to point BB is _[blank]_ units . - answer5
what must be true in order for two lines to be parallel ?
there is more than one correct answer . 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 ? - answerperpendicular lines are two lines
that intersect to form four congruent right angles .
use the image to help you complete this problem .
match each figure with the correct term . - answerline = ac
plane = p
point = b
use the following figure to help you complete the sentence .
the distance between point AA and point BB is _[blank]_ units . - answer5
the distance between two points on a number line can be found by taking the _[blank
1]_ of the _[blank 2]_ of the coordinates .
match each blank with the word or phrase that correctly fills in that blank . - answerblank
1 = absolute value
blank 2 = difference
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 ? - answerthe sentence does not need to be changed .
what term does the description "two lines that intersect to form four congruent right
angles" define ? - answerperpendicular lines
,use the figure to answer the question . - answerAB ( with a line above )
a segment is on a number line with endpoints at −13.6−13.6 and −6.2.−6.2 .
what is the length of the segment ? - answer7.4
what term does the statement "the set of all points in a plane that are equidistant from a
given point" define ? - answercircle
use the image to answer the question .
which answer choice correctly names the circle ? - answer⨀A
what term does the statement "a figure formed by two rays that share a common point"
define ? - answerangle
a protractor is used on an angle . one ray of the angle is at 13∘13∘ and the other ray is
at 57∘.57∘ .
what is the measure of the angle ? - answer44∘
use the following figure to answer the question .
what is another name for ∠1 ? - answer∠ABC
a segment is on a number line with endpoints at 2.82.8 and 4.6.4.6 .
what is the length of the segment ? - answer1.8
use the figure to answer the question .
what is the correct way to name the circle ? - answer⨀B
what term does the statement "the set of all points on a circle between two given points
on the circle" define ? - answerarc
wse the figure to answer the question .
what is the correct name for the angle formed by adding ∠1∠1 and ∠2 ? - answer∠ABD
a protractor is used on an angle. One ray of the angle is at 46∘46∘ and the other ray is
at 95∘.95∘ .
what is the measure of the angle ? - answer49∘
if the point of the preimage is (5,2) and the point of the image is (1,2), what RULE was
applied to the preimage to obtain the image ? - answer(x - 4, y)
describe the transformation that takes place with the following rule :
(x - 2, y + 4) - answertranslates 2 units left AND 4 units up .
the rule (x, -y) is a reflection over the y axis . - answerfalse
,apply the rule (-x, y - 2) to the following point, what is the result ?
(-3, 5) - answer(3, 3)
let p be the statement "I do my chores," and let q be the statement "I get my allowance."
which statement uses pp as the hypotheses and q as the conclusion ? - answerif I do
my chores , then I get my allowance .
which statement is correctly written as a conditional statement ? - answerif 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 ? - answerif a polygon is a
triangle , then it has three sides .
which of the following statements is biconditional ? - answera number is an even
number if and only if it is divisible by 2 .
which statement is correctly written as a conditional statement ? - answerif a shape has
four sides , then it is a quadrilateral .
use the conditional statement to answer the question .
if a rectangle is a square , then it has four congruent sides .
what is the converse of the given conditional statement ? - answerif a rectangle has four
congruent sides , then it is a square .
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 ? - answerif and only if
it has two pairs of parallel sides
what does the statement "a logical argument written with statements in one column and
the corresponding reason in another column" define ? - answertwo-column proof
use the following information to answer the question .
one statement in a proof says ,
If AB=CDAB=CD and CD=EF ,CD=EF , then AB=EF. AB=EF .
what reason can be used for the statement ? - answertransitive property of equality
which term correctly describes the object labeled a in the figure ? - answerpoint
which term correctly describes the object labeled b in the figure ? - answerline
the distance between point XX and point YY is _[blank]_ units .
, enter your answer as the number that correctly fills in the blank in the previous sentence
. - answer6
the distance between point AA and point BB is _[blank]_ units .
enter your answer as the number that correctly fills in the blank in the previous sentence
. - answer3
what is the definition of perpendicular lines ? - answertwo lines that intersect in a way
that forms right angles
which words or phrases describe parallel lines ?
select all that apply . - answer- never intersect
- coplanar lines
a segment is on a number line with endpoints at −5.3−5.3 and 8.7.8.7 .
what is the length of the segment ? - answer14
what term does the statement "the set of all points in a plane that are the same distance
from a given point" define ? - answercircle
what is the correct name of the circle ? - answer⨀S
an angle is measured with a protractor . one ray of the angle is at 37∘37∘ and the other
ray is at 112∘.112∘ .
what is the measure of the angle ? - answer75∘
what is another name for ∠2 ? - answer∠CBD
which statement is correctly written as a conditional statement ? - answerif the number
1010 is an even number , then it is a composite number .
which statement is correctly written as a biconditional statement ? - answeryou pass the
exam if and only if you score 60% or higher .
use the conditional statement to answer the question .
if two rays share a common endpoint, then they form an angle .
what is the converse of the given conditional statement ? - answerif two rays form an
angle , then they share a common endpoint .
use the following information to answer the question .
what is the reason for Statement 3 ? - answerAddition Property of Equality
use the following statement to answer the question .
if AB=CD , then AB+6=CD+6
if the statement is used in a two-column proof , what is the correct reason for the
statement ? - answerAddition Property of Equality
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