Geometry TEKS Practice

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.

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.

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.

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.

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.

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.

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.

Front

What is true about angle 10?

Back

It's congruent to angle 13 because they are vertical angles.

Answer explanation

Angle 10 is congruent to angle 13 because they are vertical angles, formed by two intersecting lines. Vertical angles are always equal in measure.

Front

Which of the following will make triangle ABC congruent to triangle DEF? Options: F(7,-3), F(5,5), F(-5,-5)

Back

F(7,-3)

Answer explanation

Triangle ABC is congruent to triangle DEF when their corresponding sides and angles are equal. The coordinates F(7,-3) likely correspond to a transformation that maintains these properties, making it the correct choice.

Front

Distance from the bear to the cave: √(-5-2)² + (-3-4)²

Back

Correct Answer: √(-5-2)² + (-3-4)²

Answer explanation

The correct choice is √(-5-2)² + (-3-4)², which uses the distance formula. It calculates the distance between two points (-5, -3) and (2, 4) correctly by adding the squares of the differences.