IXL - Proofs involving angles (Geometry practice)

Complete the proof that

∠

PTQ

≅

∠

RTS

	Statement	Reason
1	measure of angle PTQ plus measure of angle QTR equals 180 degrees
2	measure of angle QTR plus measure of angle RTS equals 180 degrees	Angles forming a linear pair sum to 180 degrees
3	measure of angle PTQ plus measure of angle QTR equals measure of angle QTR plus measure of angle RTS	Transitive Property of Equality
4	measure of angle PTQ equals measure of angle RTS	Properties of addition, subtraction, multiplication, and division
5	∠PTQ is congruent to ∠RTS	Definition of congruence

ref_doc_title.

Learn with an example

question

Complete the proof that

∠

UYV

≅

∠

WYX

	Statement	Reason
1	measure of angle UYV plus measure of angle VYW equals 180 degrees	Angles forming a linear pair sum to 180 degrees
2	measure of angle VYW plus measure of angle WYX equals 180 degrees	Angles forming a linear pair sum to 180 degrees
3	measure of angle UYV plus measure of angle VYW equals measure of angle VYW plus measure of angle WYX	Text field with dropdown. Use the down arrow key to hear the options, press spacebar to select.
4	measure of angle UYV equals measure of angle WYX	Properties of addition, subtraction, multiplication, and division
5	∠UYV is congruent to ∠WYX	Definition of congruence

solution

Choose the reason that justifies the statement on line 3. The Transitive Property of Equality lets you deduce

∠

UYV

∠

VYW

∠

VYW

∠

WYX

from

∠

UYV

∠

VYW

180°

in line 1 and

∠

VYW

∠

WYX

180°

in line 2.

	Statement	Reason
1	measure of angle UYV plus measure of angle VYW equals 180 degrees	Angles forming a linear pair sum to 180 degrees
2	measure of angle VYW plus measure of angle WYX equals 180 degrees	Angles forming a linear pair sum to 180 degrees
3	measure of angle UYV plus measure of angle VYW equals measure of angle VYW plus measure of angle WYX	Transitive Property of Equality
4	measure of angle UYV equals measure of angle WYX	Properties of addition, subtraction, multiplication, and division
5	∠UYV is congruent to ∠WYX	Definition of congruence

Looking for more? Try these:

Lesson: Complementary angles

Lesson: Supplementary angles

Lesson: Vertical angles

Lesson: Adjacent angles

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Questions
answeredQuestions

Time
elapsedTime

hr	min	sec
00	00	06

SmartScore
out of 100
IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! Learn more

Teacher tools

Work it out

Not feeling ready yet? These can help:

C.3Identify complementary, supplementary, vertical, adjacent, and congruent angles

C.4Properties of equality