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WorksheetsGeo - Ch 1 & Ch 2 Test Review
Total questions: 184
Worksheet time: 4hrs 38mins
What is the distance between the two points? Round to the tenth, if necessary. Do not type x= or use units.
(a)
Find the distance between (3, 24) and (7, 56). Round to the tenth, if necessary. Do not type x= or use units.
(a)
Find the distance between (-3, -11) and (8, -42). Round to the tenth, if necessary. Do not type x= or use units.
(a)
Use the Distance Formula to find the distance between:
(-6,-3) and (-4,-8). Round to the tenth, if necessary. Do not type x= or use units.
(a)
Use the Distance Formula to find the distance between:
(1,5) and (3,8). Round to the tenth, if necessary. Do not type x= or use units.
(a)
Use the Distance Formula to find the distance between:
(3,7) and (-5,-9) Round to the tenth, if necessary. Do not type x= or use units.
(a)
Use the Distance Formula to find the distance between:
(-2,-1) and (6,7). Round to the tenth, if necessary. Do not type x= or use units.
(a)
An example of coplaner points on plane m
Line q
Line p
Line r
Use the figure to name a line containing the
point X.
line X
line c
line Z
line YZ
Use the figure to name a plane containing the
point Z.
plane XY
plane c
plane XQY
plane P
Two lines intersect at a ....
angle
point
line
plane
segment
Two planes intersect at a...
line
point
plane
letter
Which lines contain point A? Select all that apply.
Line BC
Line m
Line DB
Line L
Point E
Name a point not on line AC. Select all that apply.
D
B
Line m
C
E
Where do lines AB and ST intersect?
Plane Q
Point P
Point X
Line XY
Which three line segments intersect at point A?
AB
AD
AG
BH
CD
Use the Distance Formula to find the distance between the points given. Round to the tenth, if necessary. Do not type x= or use units.
(a)
Use the Distance Formula to find the distance between the points given. Round to the tenth, if necessary. Do not type x= or use units.
(a)
Use the Distance Formula to find the distance between the points given. Round to the tenth, if necessary. Do not type x= or use units.
(a)
Name 3 coplaner points on plane R
Find the midpoint of the line segment with the given endpoints (3,9) and (5,9). Write your answer as an ordered pair.
(a)
What is the midpoint between (-4,4) and (-2,2)? Write your answer as an ordered pair.
(a)
Find the midpoint of the line segment with the given endpoints (6,-6) and (-10,-10). Write your answer as an ordered pair.
(a)
Use the distance formula to find the distance between (-5, 5) and (1, -2). Round to the tenth, if necessary.
(a)
7.2
Find the missing endpoint if P is the midpoint of segment NQ. Write your answer as an ordered pair.
N(2,0) and P(5,2)
(a)
Find the missing endpoint if P is the midpoint of segment NQ. Write your answer as an ordered pair.
N(5,4) and P(6,3)
(a)
Find the missing endpoint if P is the midpoint of segment NQ. Write your answer as an ordered pair.
N(3,9) and P(-1,5)
(a)
Find the midpoint of the segment AB. Write as an ordered pair.
(a)
Troop 175 is designing their new campground by first mapping everything on a coordinate grid. They have found a location for the mess hall and for their cabins. They want the bathrooms to be halfway between these two. What will be the coordinates of the location of the bathrooms? Write as an ordered pair.
(a)
If m∠EBF=6x+4 and m∠CBF=7x−2, find m∠EBF
(a)
If m∠3=4x+10 and m∠4=5x, find m∠4
(a)
If m∠3=6y+2 and m∠4=8y−14, find m∠CBE
(a)
Let m∠1=m∠2. If and m∠ABE=100 and m∠ABD=2(r+5), find m∠DBE
(a)
If m∠EBD=4x+16 and m∠DBC=6x+4, find m∠EBD.
(a)
If m∠EBD=4x−8 and m∠EBC=5x+20, find m∠EBC.
(a)
If m∠DCE=4x+15 and m∠ECF=6x−5, find m∠DCE
(a)
If m∠FCG=9x+3 and m∠GCB=13x−9, find m∠GCB
(a)
Find the midpoint of the line segment. Write your answer as an ordered pair.
(a)
Vertical angles are always
90 degrees
180 degrees
equal measure
adjacent
complementary
(a)
(a)
(a)
(a)
(a)
(a)
(a)
(a)
(a)
(a)
(a)
(a)
Round to the tenth.
(a)
(a)
(a)
(a)
Find the measure of the indicated angle
(a)
Find the measure of the indicated angle.
(a)
Find the value of t
(a)
(a)
(a)
(a)
Find the value of x.
(a)
Find the value of y.
(a)
Which pairs of angles are vertical? Select all that apply.
<COA & <BOD
<AOD & <COB
<COA & <AOD
<DOB & <BOC
Which angles are vertical angles? Select all that apply.
<FGE & <DGC
<DGE & <CGF
<AGB & <BGC
<DGC & <FGA
<EGF & <FGA
Which angles are adjacent angles? Select all that apply.
<FGE & <DGC
<DGE & <CGF
<AGB & <BGC
<DGC & <FGA
<EGF & <FGA
Which angles are vertical angles? Select all that apply.
<EKH & <GKF
<GKH & <EKF
<GKJ & <JKH
<JKH & <HKE
<HKE & <EKF
Which angles are adjacent angles? Select all that apply.
<EKH & <GKF
<GKH & <EKF
<GKJ & <JKH
<JKH & <HKE
<HKE & <EKF
Which angles are vertical angles? Select all that apply.
m and k
i and g
c and d
e and b
f and e
Which angles are adjacent angles? Select all that apply.
m and k
i and h
c and d
e and b
f and e
Which of the following is the CONVERSE of the statement below?
If a student ordered a yearbook, then they paid BK $75.
If a student paid BK $75, then they ordered a yearbook.
If a student did not order a yearbook, then they did not pay BK $75.
If a student did not pay BK $75, then they did not order a yearbook.
There is no converse of the statement.
Which of the following is the CONVERSE of the statement below?
If an object is a bird, then it can fly.
If an object can fly, then it is a bird.
If an object is not a bird, then it cannot fly
If an object cannot fly, then it is not a bird
There is no converse of the statement
Which of the following is the CONVERSE of the statement below?
If your grade is a 96, then you are
making an A.
If you are making an A, then your grade is a 96.
If you are not making an A, then your grade is not a 96.
If your grade is not a 96, then you are not making an A.
There is no converse of the statement.
Which of the following is the CONVERSE of the statement below?
If you play football, then you wear
a uniform.
If you wear a uniform, then you play football.
If you do not play football, then you do not wear a uniform.
If you do not wear a uniform, then you do not play football.
There is no converse of the statement.
Which of the following is the INVERSE of the statement below?
If an object is a computer, then it
has a hard drive.
If an object is not a computer, then it does not have a hard drive.
If an object does not have a hard drive, then it is not a computer.
If an object has a hard drive, then it is a computer.
There is no inverse of the statement.
Which of the following is the INVERSE of the statement below?
If an object is a battery, then it is
rechargeable.
If an object is not a battery, then it is not
rechargeable.
If an object is rechargeable, then it is not a battery.
If an object is not rechargeable, then it is not a battery.
There is no inverse of the statement.
Which of the following is the INVERSE of the statement below?
If an animal is black and white,
then it is a penguin.
If an animal is not black and white, then it is not a penguin
If an animal is a penguin, then it is black and white.
If an animal is not a penguin, then it is not black and white.
There is no inverse of the statement.
Which of the following is the CONTRAPOSITIVE of the statement below?
If a species walks on two feet, then
it is human.
If a species is not human, then it does not walk on two feet.
If a species is human, then it walks on two feet.
If a species does not walk on two feet, then it is not human.
There is no contrapositive of the statement.
Which of the following is the CONTRAPOSITIVE of the statement below?
If a gem is a ruby, then it is red.
If a gem is not red, then it is not a ruby.
If a gem is not a ruby, then it is not red.
If a gem is red, then it is a ruby.
There is no contrapositive statement.
Which of the following is the CONTRAPOSITIVE of the statement below?
If a species is a fish, then it lives in
water.
If a species does not live in water, then it is not a fish.
If a species is not a fish, then it does not live in water.
If a species lives in water, then it is a fish.
There is not contrapositive of the statement.
Which of the following is the BICONDITIONAL of the statement below?
If there is lightning, then there is thunder.
If there is not lightning, then there is not thunder.
If there is thunder, then there is lightning.
There is lightning if and only if (iff) there is thunder.
There is no biconditional statement.
Which of the following is the BICONDITIONAL of the statement below?
If it is water, then it is wet.
If it is not wet, then it is not water.
If it is wet, then it is water.
It is water if and only if (iff) it is wet.
There is no biconditional statement.
Which of the following is a valid conditional statement for the following phrase:
An acute angle has a measure less than 90°.
If an angle is acute, then it has a measure less than 90°.
If an angle is not acute, then it does not have a measure less than 90°.
If an angle is acute, then it is acute.
If an angle does not measure less than 90°, then it is not acute.
If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?
An angle is acute if and only if (iff) it has a measure less than 90°.
Biconditional
Converse
Inverse
Contrapositive
If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?
If an angle does not have a measure less than 90°, then it is not acute.
Contrapositive
Converse
Biconditional
Inverse
If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?
If an angle has a measure less than 90°, then it is acute.
Converse
Contrapositive
Biconditional
Inverse
If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?
If an angle is not acute, then it does not have a measure less than 90°.
Inverse
Contrapositive
Biconditional
Converse
What is the answer for b?
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
What is the answer for c?
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
Subtraction Property of Equality
Transitive Property of Equality
Given
Division Property of Equality
What is reason 3?
Find the midpoint of the segment AB if A(2, 10) and B(-14, -6)
(a)
Solve for x if m<1=72 and <4=10x
(a)
Rewrite the conditional statement as a contrapositive.
If you get a speeding ticket, then you were driving too fast.
If you get a speeding ticket, then you were driving too fast.
If you were driving too fast, then you got a speeding ticket.
If you didn't get a speeding ticket, then you weren't driving too fast.
If you weren't driving too fast, then you didn't get a speeding ticket.
Supply the second reason.
Linear Pair Postulate
Alternate Interior Angles Theorem
Vertical Angles Theorem
Corresponding Angles Postulate
Supply the third reason.
Vertical Angle Theorem
Corresponding Angles Postulate
Alternate Interior Angles Postulate
Same Side Interior Angles Theorem
The last statement is <4 = <6. What is the last reason
Prove
Definition of congruent angles
Transitive Property
Alternate Interior Angles Theorem
Which proof is incorrect?
1) Which statement restates the Given from the question?
2) Which statement represents what you have to prove from the question?
3) What is the reason for statement 2?
Given
Vertical Angle Theorem
Corresponding Angles Postulate
Alternate Interior Angles Theorem
4) What is the reason for Statement 3
Corresponding Angles Postulate
Angles that form a Linear Pair that sums 180°
Same-side Interior Angles Theorem
Vertical Angles Theorem
9) What is the Given for Statement 1?
11) What is the reason for Statement 2?
Vertical Angles Theorem
Corresponding Angles Theorem
Alternate Exterior Angles Theorem
Converse of Corresponding Angles Theorem
13) What is the reason for Statement 4?
Substitution
Converse of Alternate Exterior Angles Theorem
Converse of Corresponding Angles Postulate
Converse of Same-side Interior Angles Theorem
Match the angle pairs to the correct term.
<1 and <3
Vertical Angles
<6 and <4
Alternate Interior Angles
<2 and <8
Alternate Exterior Angles
<3 and <4
Supplementary Angles
Identify the correct statement(s). Select all that apply.
∠1 & ∠2 are corresponding angles
∠2 & ∠4 are alternate interior angles
∠5 & ∠8 are vertical angles
∠1 & ∠5 are corresponding angles
∠3 & ∠7 are corresponding angles
Identify the correct statement(s) if lines l and m are parallel. Select all that apply.
∠B=82°
∠B=98°
∠A and ∠B are complementary
∠A=98°
∠A and ∠B are supplementary
Identify the correct statement(s) if lines l and m are parallel. Select all that apply.
∠C=116°
∠C=64°
∠D=116°
∠D=64°
∠C and ∠D are complementary
Identify the correct statement(s) if lines l and m are parallel. Select all that apply.
x=105
∠J=75°
x=21
∠J and ∠I are complementary
∠J and ∠I are supplementary
What is the measure of ∠6?
(a)
Find y. Do not type y=
(a)
Which of the following are vertical angles? Select all that apply.
∠4 and ∠5
∠1 and ∠2
∠3 and ∠6
∠2 and ∠5
∠3 and ∠8
Which angle pairs are vertical angles? Select all that apply.
∠4 and ∠7
∠6 and ∠5
∠3 and ∠2
∠2 and ∠8
∠3 and ∠8
Find the value of x if the m∠1 = 11x − 9° and the m∠5 = 7x +9° and lines A and B are parallel. Do not type x=. Round to the tenth, if necessary.
(a)
Lines A and B are parallel lines cut by a transversal. Find the value of x. Do not type x=. Round to the tenth, if necessary.
(a)
Find the m∠1 if the lines are parallel. Round to the nearest tenth, if necessary.
(a)
Solve for x if the lines are parallel. Do not type x=. Round to the tenth, if necessary.
(a)
Find the m<5
(a)
Find the m<4
(a)
Match the angle pair to the correct definition
∠4 and ∠7
Vertical Angles
∠6 and ∠5
Alternate Interior Angles
∠3 and ∠2
Supplementary Angles
∠4 and ∠8
Alternate Exterior Angles
Find the m∠1 if the m∠1 = 11x − 9° and the m∠5 = 7x +9° and lines A and B are parallel. Do not type =. Round to the tenth, if necessary.
(a)
Find the m∠2 if the m∠1 = 11x − 9° and the m∠5 = 7x +9° and lines A and B are parallel. Do not type =. Round to the tenth, if necessary.
(a)
Solve for x if the lines are parallel. Round to the nearest tenth, if necessary. Do not type x=.
(a)
Solve for x. Round to the tenth, if necessary. Do not type x=
(a)
Solve for y. Round to the tenth, if necessary. Do not type y=
(a)
Solve for y. Round to the tenth, if necessary. Do not type y=
(a)
Solve for x. Round to the tenth, if necessary. Do not type x=
(a)
Solve for x. Round to the tenth, if necessary. Do not type x=
(a)
Solve for y. Round to the tenth, if necessary. Do not type y=
(a)
Solve for y. Round to the tenth, if necessary. Do not type y=
(a)
Solve for x. Round to the tenth, if necessary. Do not type x=
(a)
Find m<ABC so that m // n.
(a)
Find x so that m // n. Do not type x=.
(a)
Find x so that lines l and m are parallel. Do not type x=.
(a)
Which theorem or postulate would you use to prove lines l and m parallel?
Alternate Exterior Angles
Alternate Interior Angles
Corresponding Angles
Consecutive Interior Angles are supplementary
Find x so that lines l and m are parallel. Do not type x=
(a)
Identify the postulate or theorem to make lines l and m parallel.
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
Consecutive Interior Angles are supplementary
Identify the postulate or theorem to make lines l and m parallel.
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
Consecutive Interior Angles are supplementary
Solve for x so that lines l and m are parallel. Do not type x=.
(a)
If
a∥b and m∠7=(3x+5)°, and m∠6=(2x-6)° solve for x. Round to the tenth. Do not type x=.
(a)
Solve for y. Do not type y=
(a)
Solve for x so that lines l and m are parallel. Do not type x=.
(a)
Suppose lines l // m and r // s. Why are ∠12 & ∠14 congruent?
Vertical angles
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
Suppose lines l // m and r // s. Why are ∠5 & ∠15 congruent?
Vertical angles
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
Suppose ∠7 ≅ ∠1, which statements are true? Select all that apply.
r // s
l // m
∠7 ≅ ∠3
∠9 ≅ ∠1
∠7 ≅ ∠13
Suppose ∠7 ≅ ∠15, which statements are true? Select all that apply.
r // s
l // m
∠7 ≅ ∠3
∠11 ≅ ∠15
∠5 ≅ ∠15
Suppose ∠11 ≅ ∠1, which statements are true? Select all that apply.
r // s
l // m
∠3 ≅ ∠11
∠9 ≅ ∠1
∠11 ≅ ∠13
Suppose ∠10 ≅ ∠16, which statements are true? Select all that apply.
r // s
l // m
∠10 ≅ ∠14
∠16 ≅ ∠12
∠16 ≅ ∠8
Match the indicated angles to the vocab term.
Corresponding Angles
Alternate Exterior Angles
Alternate Interior Angles
Vertical Angles
No Angle Relationship
Match the indicated angles to the vocab term.
Corresponding Angles
Alternate Exterior Angles
Alternate Interior Angles
Vertical Angles
No Angle Relationship
Solve for x so that lines l and m are parallel. Do not type x=.
(a)
Solve for x. Do not type x=
(a)
Solve for y. Do not type y=
(a)
Solve for the measure of angle 6
(a)
Given ∠1 ≅ ∠6, which statement are true. Select all that apply.
g // h
p // q
∠7 + ∠6 = 180
∠2 + ∠6 = 180
j // g
Given m∠7 + m∠6 = 180, which statement(s) are true. Select all that apply.
g // h
p // q
∠8 ≅ ∠6
∠7 ≅ ∠5
∠7 ≅ ∠2
Solve for x. Do not type x=
(a)
Solve for y. Do not type y=. Round to the tenth, if necessary.
(a)
Find the value of x so that p // q. Do not type x=
(a)
Suppose ∠10 ≅ ∠16, which statements are true? Select all that apply.
r // s
l // m
∠10 ≅ ∠14
∠16 ≅ ∠12
m∠9+m∠15=180
