Which of the following sets of numbers can be the lengths of the sides of a triangle?

39 , 8 , 5 \sqrt{39},\ \sqrt{8},\ \sqrt{5} 3 9 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> , 8 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> , 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Write an inequality relating the measure of angle 1 to the measure of angle 2:

m ∠ 1 < m ∠ 2 m\angle1\ <\ m\angle2 m ∠ 1 < m ∠ 2

m ∠ 1 > m ∠ 2 m\angle1\ >m\angle2 m ∠ 1 > m ∠ 2

m ∠ 1 = m ∠ 2 m\angle1\ =\ m\angle2 m ∠ 1 = m ∠ 2

m ∠ 1 = 45 ° m\angle1\ =\ 45\degree m ∠ 1 = 4 5 °

Given: AB = DE, and BE > AD Prove: m ∠ CAE > m ∠ CEA Which 2 steps would be need to prove this?

Reflexive Prop., Converse of Hinge Theorem

Ch. 5: Relationships in Triangles

Authored by Nicholas Bender

Mathematics

9th - 12th Grade

CCSS covered

Used 78+ times

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

Content View

Student View

15 questions

Show all answers

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the point called where the perpendicular bisectors of the sides of a triangle intersect?

circumcenter

incenter

centroid

orthocenter

Tags

CCSS.HSG.C.A.3

FILL IN THE BLANK QUESTION

1 min • 1 pt

In △XYZ, point M is the centroid.
If XM = 8, find the length of MA.

(a)

Tags

CCSS.HSG.CO.C.10

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the name of the point that is two-thirds of the way from each vertex of a triangle to the midpoint of the opposite side?

Circumcenter

Centroid

Incenter

Orthocenter

Tags

CCSS.HSG.C.A.3

FILL IN THE BLANK QUESTION

2 mins • 1 pt

Given that CD is the perpendicular bisector of AB, and AB is the perpendicular bisector of CD.
Find the value of y

(a)

Tags

CCSS.HSG.CO.C.11

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Determine which angle has the greatest measure.

Angle 1

Angle 2

Angle 3

Angle 4

Tags

CCSS.8.G.A.5

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Find the shortest segment in △PQS.

Cannot Determine

Tags

CCSS.HSG.CO.C.10

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Find the longest segment in △QRS

Cannot Determine

Tags

CCSS.HSG.CO.C.10

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

10 questions

Logaritma 2

Quiz

•

10th Grade

20 questions

PTS MATEMATIKA KELAS XI SEM GENAP

Quiz

•

11th Grade

20 questions

trigonometri

Quiz

•

9th - 12th Grade

15 questions

Operaciones con matrices

Quiz

•

12th Grade

11 questions

Super easy quiz

Quiz

•

9th - 12th Grade

11 questions

Properties of a parallelogram

Quiz

•

8th - 9th Grade

10 questions

Rational Function

Quiz

•

11th Grade

10 questions

EAES SIMULADOR 3

Quiz

•

12th Grade

Popular Resources on Wayground

20 questions

STAAR Review Quiz #3

Quiz

•

8th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

6 questions

Marshmallow Farm Quiz

Quiz

•

2nd - 5th Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

20 questions

Inferences

Quiz

•

4th Grade

19 questions

Classifying Quadrilaterals

Quiz

•

3rd Grade

12 questions

What makes Nebraska's government unique?

Quiz

•

4th - 5th Grade

Discover more resources for Mathematics

7 questions

Warm Up 04.01.2026

Quiz

•

9th Grade

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

20 questions

Linear Functions Review

Quiz

•

9th Grade

10 questions

Pythagorean Theorem and its Converse

Quiz

•

7th - 9th Grade

20 questions

Box and Whisker Plots

Quiz

•

9th Grade

16 questions

Circles - Equations, Central & Inscribed Angles

Quiz

•

9th - 12th Grade

20 questions

Function or Not a Function

Quiz

•

8th - 9th Grade

10 questions

Calculating Surface Area of a Triangular Prism

Interactive video

•

6th - 10th Grade

Ch. 5: Relationships in Triangles

What is the point called where the perpendicular bisectors of the sides of a triangle intersect?

In △XYZ, point M is the centroid.
If XM = 8, find the length of MA.

(a)

What is the name of the point that is two-thirds of the way from each vertex of a triangle to the midpoint of the opposite side?

Given that CD is the perpendicular bisector of AB, and AB is the perpendicular bisector of CD.
Find the value of y

(a)

Determine which angle has the greatest measure.

Find the shortest segment in △PQS.

Find the longest segment in △QRS

Find the angle with the smallest measure in △VUW.

Find the angle with the greatest measure in △UWX

Write an inequality to describe the possible values of x.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Ch. 5: Relationships in Triangles

What is the point called where the perpendicular bisectors of the sides of a triangle intersect?

In △XYZ, point M is the centroid. If XM = 8, find the length of MA. (a)

What is the name of the point that is two-thirds of the way from each vertex of a triangle to the midpoint of the opposite side?

Given that CD is the perpendicular bisector of AB, and AB is the perpendicular bisector of CD.﻿Find the value of y (a)

Determine which angle has the greatest measure.

Find the shortest segment in △PQS.

Find the longest segment in △QRS

Find the angle with the smallest measure in △VUW.

Find the angle with the greatest measure in △UWX

Write an inequality to describe the possible values of x.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

In △XYZ, point M is the centroid.
If XM = 8, find the length of MA.

(a)

Given that CD is the perpendicular bisector of AB, and AB is the perpendicular bisector of CD.
Find the value of y

(a)