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

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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.

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

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

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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.

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

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.

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

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.

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