WorksheetsLearning Task: Applying Theorems on Triangle Inequalities
Total questions: 15
Worksheet time: 11mins
Which is always true about the measure of an exterior angle of a triangle?
It is less than the measure of its adjacent interior angle.
It is less than the measure of either remote interior angle.
It is greater than the measure of its adjacent interior angle.
It is greater than the measure of either remote interior angle.
Which of the following numbers of the same unit could represent the side
lengths of a triangle?
1, 3, 5
2, 4, 5
3, 6, 10
4, 5, 11
Which is the largest angle?
∠D
∠O
∠P
Cannot be determined
Which is the smallest angle?
∠D
∠O
∠P
Cannot be determined.
Which of the following could be a possible measure of the third side of the
triangle if the two sides measure 12 meters and 25 meters?
11 meters
13 meters
28 meters
37 meters
What theorem is applicable in determining the smallest and largest angles of
∆POD?
Converse of Hinge Theorem or SSS Triangle Inequality Theorem
Hinge Theorem or SAS Triangle Inequality Theorem
Triangle Inequality Theorem 2 (Aa→Ss)
Triangle Inequality Theorem 1 (Ss→Aa)
Which side of ∆SAW is the shortest?
AS
SW
WA
Cannot be determined
Which side of ∆SAW is the longest?
AS
SW
WA
Cannot be determined.
What theorem is applicable in determining the shortest and longest sides of
∆SAW?
Triangle Inequality Theorem 1 (Ss→Aa)
Triangle Inequality Theorem 2 (Aa→Ss)
Hinge Theorem or SAS Triangle Inequality Theorem
Converse of Hinge Theorem or SSS Triangle Inequality Theorem
Given below is ∆ART. List the sides from the longest to the shortest.
AT̅̅̅̅, AR̅̅̅̅, RT̅̅̅̅
AR̅̅̅̅, TR̅̅̅̅, TA̅̅̅̅
RT̅̅̅̅, RA̅̅̅̅, TA̅̅̅̅
TA̅̅̅̅, TR̅̅̅̅, AR̅̅̅̅
What is the measure of ∠A ?
25°
50°
105°
155°
What is the measure of ∠GRD ?
25°
75°
105°
155°
Which is the longest side of ∆RAD?
A.B. C. D.
AR̅̅̅̅
DA̅̅̅̅
RD̅̅̅̅
Cannot be determined.
m∠1 ___ m∠2
<
>
=
LO ___ VO
<
>
=
