
Geometry TEKS Practice
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
Felisa Ford
FREE Resource
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21 questions
Show all answers
1.
FLASHCARD QUESTION
Front
Are the given triangles congruent? If so, by which postulate?
Back
Yes, ASA.
Answer explanation
The triangles are congruent by the ASA postulate, which states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.
2.
FLASHCARD QUESTION
Front
Are the given triangles congruent? If so, by which postulate?
Back
Yes, SAS.
Answer explanation
The triangles are congruent by the SAS (Side-Angle-Side) postulate, which states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.
3.
FLASHCARD QUESTION
Front
Are the given triangles congruent? If so, by which postulate?
Back
Yes, SAS.
Answer explanation
The triangles are congruent by the SAS (Side-Angle-Side) postulate, as two sides and the included angle of one triangle are equal to the corresponding parts of the other triangle.
4.
FLASHCARD QUESTION
Front
Are the given triangles congruent? If so, by which postulate?
Back
Yes, ASA.
Answer explanation
The triangles are congruent by the ASA postulate, which states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.
5.
FLASHCARD QUESTION
Front
Line through the point (1,3) parallel to the given segment? Options: y = 1/2x + 3, y = -1/2x + 5, y = -2x + 3, y = -2x + 5
Back
y = 1/2x + 3
Answer explanation
The line parallel to the given segment must have the same slope. The slope of the line y = 1/2x + 3 is 1/2, which matches the slope of the segment. It also passes through (1,3), making it the correct choice.
6.
FLASHCARD QUESTION
Front
Lines a and b are parallel and angle 6 measures 116 degrees. What is the measure of angle 4?
Back
64
Answer explanation
Since lines a and b are parallel, angle 4 is an alternate interior angle to angle 6. Therefore, angle 4 measures 180 - 116 = 64 degrees.
7.
FLASHCARD QUESTION
Front
Which diagram is the counter example to the conjecture: "An angle bisector drawn from a vertex to the opposite side of a triangle forms one acute and one obtuse triangle." Options: C, D, B, A
Back
B
Answer explanation
Diagram B shows an angle bisector that creates two triangles, both of which are acute. This contradicts the conjecture, making it the counterexample. Diagrams A, C, and D do not provide such a scenario.
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