If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

3.12 Lines Perpendicular to a Transversal Theorem

5.9 Hypotenuse-Leg (HL) Congruence Theorem

If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent

3.3 Alternate Exterior Angles Theorem

Corollary 7.3 Rectangle Corollary

If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary.

3.4 Consecutive Interior Angles Theorem

10.12 Inscribed Right Triangle Theorem

If two lines are cut by a transversal so the corresponding angles are congruent, then the lines are parallel.

3.5 Corresponding Angles Converse

10.1 Tangent Line to Circle Theorem

7.8 Parallelogram Opposite Angles Converse

If two lines are cut by a transversal so the alternate interior angles are congruent, then the lines are parallel.

3.6 Alternate Interior Angles Converse

9.6 Right Triangle Similarity Theorem

10.10 Measure of an Inscribed Angle Theorem

5.7 Converse of the Base Angles Theorem

If two lines are cut by a transversal so the alternate exterior angles are congruent, then the lines are parallel.

10.9 Equidistant Chords Theorem

3.12 Lines Perpendicular to a Transversal Theorem

If two lines are cut by a transversal so the consecutive interior angles are supplementary, then the lines are parallel.

3.8 Consecutive Interior Angles Converse

10.17 Circumscribed Angle Theorem

3.12 Lines Perpendicular to a Transversal Theorem

If two lines are parallel to the same line, then they are parallel to each other.

3.9 Transitive Property of Parallel Lines

10.1 Tangent Line to Circle Theorem

10.18 Segments of Chords Theorem

7.17 Isosceles Trapezoid Opposite Angles Theorem

If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular.

3.10 Linear Pair Perpendicular Theorem

3.4 Consecutive Interior Angles Theorem

In a plane, if a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line.

3.11 Perpendicular Transversal Theorem

7.17 Isosceles Trapezoid Opposite Angles Theorem

In a plane, if two lines are perpendicular to the same line, then they are parallel to each other.

3.12 Lines Perpendicular to a Transversal Theorem

6.2 Converse of the Perpendicular Bisector Theorem

4.3 Reflections in Intersecting Lines Theorem

8.8 Three Parallel Lines Theorem

In a coordinate plane, two nonvertical lines are parallel if and only if they have the same slope. Any two vertical lines are parallel.

8.5 Side-Angle-Side (SAS) Similarity Theorem

In a coordinate plane, two nonvertical lines are perpendicular if and only if the product of their slopes is −1. Horizontal lines are perpendicular to vertical lines.

3.14 Slopes of Perpendicular Lines

9.5 30°-60°-90° Triangle Theorem

Converse of the Angle Bisector Theorem

The composition of two (or more) rigid motions is a rigid motion.

3.14 Slopes of Perpendicular Lines

If lines k and m are parallel, then a reflection in line k followed by a reflection in line m is the same as a translation. If A" is the image of A then1. If AA" is perpendicular to k and m, and2. AA" =2d, where d is the distance between k and m.

4.2 Reflections in Parallel Lines Theorem

10.16 Angles Outside the Circle Theorem

10.6 Congruent Corresponding Chords Theorem

If lines k and m intersect at point P, then a reflection in line k followed by a reflection in line m is the same as a rotation about point P. The angle of rotation is 2x°, where x° is the measure of the acute or right angle formed by lines k and m.

4.3 Reflections in Intersecting Lines Theorem

6.11 Triangle Inequality Theorem

5.8 Side-Side-Side (SSS) Congruence Theorem

The sum of the measures of the interior angles of a triangle is 180°

10.9 Equidistant Chords Theorem

10.10 Measure of an Inscribed Angle Theorem

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles.

6.10 Triangle Larger Angle Theorem

6.1 Perpendicular Bisector Theorem

8.5 Side-Angle-Side (SAS) Similarity Theorem

The acute angles of a right triangle are complementary

Corollary to the Triangle Sum Theorem

3.10 Linear Pair Perpendicular Theorem

7.14 Isosceles Trapezoid Base Angles Theorem

If two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent.

7.18 Trapezoid Midsegment Theorem

If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent.

10.7 Perpendicular Chord Bisector Theorem

If two sides of a triangle are congruent, then the angles opposite them are congruent.

5.11 Angle-Angle-Side (AAS) Congruence Theorem

7.18 Trapezoid Midsegment Theorem

3.3 Alternate Exterior Angles Theorem

If two angles of a triangle are congruent, then the sides opposite them are congruent.

5.7 Converse of the Base Angles Theorem

10.2 External Tangent Congruence Theorem

If a triangle is equilateral, then it is equiangular

Corollary to the Base Angles Theorem

10.16 Angles Outside the Circle Theorem

9.2 Converse of the Pythagorean Theorem

3.12 Lines Perpendicular to a Transversal Theorem

If a triangle is equiangular, then it is equilateral.

3.4 Consecutive Interior Angles Theorem

10.18 Segments of Chords Theorem

7.13 Rectangle Diagonals Theorem

If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent.

5.8 Side-Side-Side (SSS) Congruence Theorem

10.13 Inscribed Quadrilateral Theorem

If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the two triangles are congruent.

5.9 Hypotenuse-Leg (HL) Congruence Theorem

10.17 Circumscribed Angle Theorem

If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent.

5.10 Angle-Side-Angle (ASA) Congruence Theorem

8.9 Triangle Angle Bisector Theorem

If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent.

5.11 Angle-Angle-Side (AAS) Congruence Theorem

8.8 Three Parallel Lines Theorem

10.10 Measure of an Inscribed Angle Theorem

7.16 Isosceles Trapezoid Diagonals Theorem

In a plane, if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

6.1 Perpendicular Bisector Theorem

8.9 Triangle Angle Bisector Theorem

10.19 Segments of Secants Theorem

In a plane, if a point is equidistant from the endpoints of a segment, then it lies on the perpendicular bisector of the segment.

6.2 Converse of the Perpendicular Bisector Theorem

5.9 Hypotenuse-Leg (HL) Congruence Theorem

3.14 Slopes of Perpendicular Lines

7.4 Parallelogram Opposite Angles Theorem

If a point lies on the bisector of an angle, then it is equidistant from the two sides of the angle.

4.3 Reflections in Intersecting Lines Theorem

If a point is in the interior of an angle and is equidistant from the sides of the angle, then it lies on the bisector of the angle.

Converse of the Angle Bisector Theorem

3.6 Alternate Interior Angles Converse

3.8 Consecutive Interior Angles Converse

The circumcenter of a triangle is equidistant from the vertices of the triangle

6.2 Converse of the Perpendicular Bisector Theorem

Corollary to the Base Angles Theorem

9.2 Converse of the Pythagorean Theorem

The incenter of a triangle is equidistant from the sides of the triangle.

7.16 Isosceles Trapezoid Diagonals Theorem

The centroid of a triangle is two-thirds of the distance from each vertex to the midpoint of the opposite side.

8.4 Side-Side-Side (SSS) Similarity Theorem

3.3 Alternate Exterior Angles Theorem

The segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half as long as that side.

3.11 Perpendicular Transversal Theorem

If one side of a triangle is longer than another side, then the angle opposite the longer side is larger than the angle opposite the shorter side.

6.9 Triangle Longer Side Theorem

Converse of the Angle Bisector Theorem

10.18 Segments of Chords Theorem

If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.

6.10 Triangle Larger Angle Theorem

3.3 Alternate Exterior Angles Theorem

10.13 Inscribed Quadrilateral Theorem

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

6.11 Triangle Inequality Theorem

8.3 Angle-Angle (AA) Similarity Theorem

8.4 Side-Side-Side (SSS) Similarity Theorem

If two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first is longer than the third side of the second.

6.10 Triangle Larger Angle Theorem

8.4 Side-Side-Side (SSS) Similarity Theorem

The sum of the measures of the interior angles of a convex n-gon is (n − 2) ⋅ 180°.

7.1 Polygon Interior Angles Theorem

3.9 Transitive Property of Parallel Lines

3.3 Alternate Exterior Angles Theorem

5.8 Side-Side-Side (SSS) Congruence Theorem

Geometry Theorem Quiz

Authored by France Jordan

Education

6th - 8th Grade

Used 5+ times

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113 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Segment congruence is reflexive, symmetric, and transitive.Reflexive For any segment AB, AB — ≅ AB — .Symmetric If AB — ≅ CD — , then CD —≅ AB — .Transitive If AB — ≅ CD — and CD —≅ EF — , then AB — ≅ EF — .

2.1 Properties of Segment Congruence

3.2 Alternate Interior Angles Theorem

10.20 Segments of Secants and Tangents Theorem

6.12 Hinge Theorem

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Angle congruence is reflexive, symmetric, and transitive.

2.2 Properties of Angle Congruence

6.5 Circumcenter Theorem

8.1 Perimeters of Similar Polygons

3.7 Alternate Exterior Angles Converse

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

All right angles are congruent

2.3 Right Angles Congruence Theorem

7.20 Kite Opposite Angles Theorem

2.5 Congruent Complements Theorem

8.7 Converse of the Triangle Proportionality Theorem

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If two angles are supplementary to the same angle (or to congruent angles), then the two angles are congruent.

2.4 Congruent Supplements Theorem

9.3 Pythagorean Inequalities Theorem

10.14 Tangent and Intersected Chord Theorem

7.3 Parallelogram Opposite Sides Theorem

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If two angles are complementary to the same angle (or to congruent angles) then the two angles are congruent.

2.5 Congruent Complements Theorem

6.8 Triangle Midsegment Theorem

7.2 Polygon Exterior Angles Theorem

7.3 Parallelogram Opposite Sides Theorem

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Vertical angles are congruent

2.6 Vertical Angles Congruence Theorem

5.5 Side-Angle-Side (SAS) Congruence Theorem

8.6 Triangle Proportionality Theorem

Corollary to the Converse of the Base Angles Theorem

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent

3.1 Corresponding Angles Theorem

8.2 Areas of Similar Polygons

9.9 Law of Sines

6.13 Converse of the Hinge Theorem

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