Math Grade 8 Quiz Angles in Triangles and Transversals – 8.G.A.5
Angles play a fundamental role in geometry, particularly in the study of triangles and parallel lines cut by a transversal. The sum of the angles in any triangle always equals 180°. When parallel lines are intersected by a transversal, special pairs of angles are formed, such as corresponding angles, alternate interior angles, and sameside interior angles, which have specific relationships. Furthermore, the angleangle criterion dictates that if two angles of one triangle are congruent to two angles of another triangle, the triangles are similar. Recognizing these angle relationships aids in problem solving and understanding the properties of geometric figures.
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Question 1 of 10
1. Question
What is the sum of the angles in a triangle?
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Question 2 of 10
2. Question
When parallel lines are cut by a transversal, which angles are always congruent?
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Question 3 of 10
3. Question
If one angle in a triangle measures 40° and another measures 70°, what is the measure of the third angle?
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Question 4 of 10
4. Question
Two triangles are similar if:
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Question 5 of 10
5. Question
When two lines are parallel and are cut by a transversal, the sum of the sameside interior angles is:
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Question 6 of 10
6. Question
If one exterior angle of a triangle measures 130°, what is the sum of the two nonadjacent interior angles?
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Question 7 of 10
7. Question
When parallel lines are cut by a transversal, which angle pairs are supplementary?
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Question 8 of 10
8. Question
For two triangles to be similar based on the angleangle criterion, how many pairs of angles must be congruent?
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Question 9 of 10
9. Question
Which of the following is true about the exterior angle of a triangle?
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Question 10 of 10
10. Question
In a pair of alternate interior angles, if one angle is acute, the other is:
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