All GED Math Resources
Example Questions
Example Question #1201 : Ged Math
Note: Figure NOT drawn to scale.
Refer to the above triangle. Evaluate .
The degree measures of a triangle total , so
Example Question #55 : Triangles
Note: Figure NOT drawn to scale.
Refer to the above figure. Evaluate .
The degree measures of the interior angles of a triangle total , so, if we let be the measure of the unmarked angle, then
Three angles with measures together form a straight angle, so
Example Question #3 : Angles And Triangles
Figure drawn to scale.
Refer to the above diagram.
Which of the following is a valid description of ?
Obtuse
Equiangular
Acute
Right
Obtuse
One of the angles of - namely, - can be seen to be an obtuse angle, as it is wider than a right angle. This makes , by definition, an obtuse triangle.
Example Question #4 : Angles And Triangles
Refer to the above diagram.
Which of the following is a valid description of ?
Right
Obtuse
Acute
Equiangular
Right
One of the angles of - namely, - is marked as a right angle. This makes , by definition, a right triangle.
Example Question #3 : Angles And Triangles
Which of the following follows from the fact that ?
A congruency statement about two triangles implies nothing about the relationship between two angles of one of the triangles, so is not correct.
Also, letters in the same position between the two triangles refer to corresponding - and subsequently, congruent - angles. Therefore, implies that:
Of the given choices, only is a consequence. It is the correct response.
Example Question #4 : Angles And Triangles
An exterior angle of an isosceles triangle measures . What is the greatest measure of any of the three angles of the triangle?
Insufficient information is given to answer this question.
Insufficient information is given to answer this question.
The triangle has an exterior angle of , so it has an interior angle of . By the Isosceles Triangle Theorem, an isosceles triangle must have two congruent angles; there are two possible scenarios that fit this criterion:
Case 1: Two angles have measure . The third angle will have measure
.
will be the greatest of the angle measures.
Case 2: One angle has measure and the others are congruent. Their common measure will be
.
will be the greatest of the angle measures.
The given information is therefore inconclusive.
Example Question #2 : Angles And Triangles
An exterior angle of an isosceles triangle measures . What is the least measure of any of the three angles of the triangle?
Insufficient information is given to answer this question
The triangle has an exterior angle of , so it has an interior angle of . By the Isosceles Triangle Theorem, an isosceles triangle must have two congruent angles; there are two possible scenarios that fit this criterion:
Case 1: Two angles have measure . The third angle will have measure
.
will be the least of the angle measures.
Case 2: One angle has measure and the others are congruent. Their common measure will be
.
will be the least of the angle measures.
In both cases, the least of the degree measures of the angles will be .
Example Question #2 : Angles And Triangles
An exterior angle of an isosceles triangle measures . What is the least measure of any of the three angles of the triangle?
Insufficient information is given to answer this question.
The triangle has an exterior angle of , so it has an interior angle of .
Since this is an obtuse angle, its other two angles must be acute. By the Isosceles Triangle Theorem, an isosceles triangle must have two congruent angles - the acute angles are those. Since the sum of their measures is the same as their remote exterior angle - - each has measure .This is the correct response.
Example Question #1202 : Ged Math
An exterior angle of an isosceles triangle measures . What is the greatest measure of any of the three angles of the triangle?
Insufficient information is given to answer this question.
The triangle has an exterior angle of , so it has an interior angle of .
Since this is an obtuse angle, its other two angles must be acute. Therefore, this angle is the one of greatest measure.
Example Question #1203 : Ged Math
Which of the following could give the measures of the three angles of a triangle?
The degree measures of a triangle must total , so we find the sum of the degree measures in each choice.
:
:
:
:
This is the correct choice.