What are Congruent Triangles?

Triangles in which corresponding angles are equal in measure and corresponding sides are in proportion

A ray that begins at the vertex of an angle and divides the angle into two angles of equal measure

A ray, line or segment that divides a segment into two parts of equal measure

What are Similar Triangles?

Triangles in which corresponding angles are equal in measure and corresponding sides are in proportion

A ray that begins at the vertex of an angle and divides the angle into two angles of equal measure

A ray, line or segment that divides a segment into two parts of equal measure

What is an Angle Bisector?

A ray that begins at the vertex of an angle and divides the angle into two angles of equal measure

A ray, line or segment that divides a segment into two parts of equal measure

The sides of equal measure in an isosceles triangle

The third side of an isosceles triangle

What is a Segment Bisector?

A ray, line or segment that divides a segment into two parts of equal measure

A ray that begins at the vertex of an angle and divides the angle into two angles of equal measure

The sides of equal measure in an isosceles triangle

The third side of an isosceles triangle

What are the Legs of an Isosceles Triangle?

The sides of equal measure in an isosceles triangle

The third side of an isosceles triangle

A line that bisects a segment and is perpendicular to it

A segment from a vertex of a triangle perpendicular to the line containing the opposite side

What is the Base of an Isosceles Triangle?

The third side of an isosceles triangle

The sides of equal measure in an isosceles triangle

A line that bisects a segment and is perpendicular to it

A segment from a vertex of a triangle perpendicular to the line containing the opposite side

What does Equiangular mean?

Having angles that are all equal in measure

A line that bisects a segment and is perpendicular to it

A segment from a vertex of a triangle perpendicular to the line containing the opposite side

The third side of an isosceles triangle

What is a Perpendicular Bisector?

A line that bisects a segment and is perpendicular to it

A segment from a vertex of a triangle perpendicular to the line containing the opposite side

The third side of an isosceles triangle

The sides of equal measure in an isosceles triangle

What is an Altitude in a triangle?

A segment from a vertex of a triangle perpendicular to the line containing the opposite side

A line that bisects a segment and is perpendicular to it

The third side of an isosceles triangle

The sides of equal measure in an isosceles triangle

What is the definition of the geometric mean?

The value of x in proportion a/x = x/b where a, b, and x are positive numbers

The ratio of the side opposite the angle to the measure of the hypotenuse

The ratio of the side adjacent to the angle to the measure of the hypotenuse

The ratio of the side opposite the angle to the measure of the side adjacent

What is the sine of an acute angle in a right triangle?

The ratio of the side opposite the angle to the measure of the hypotenuse

The ratio of the side adjacent to the angle to the measure of the hypotenuse

The ratio of the side opposite the angle to the measure of the side adjacent

The value of x in proportion a/x = x/b where a, b, and x are positive numbers

What is the cosine of an acute angle in a right triangle?

The ratio of the side adjacent to the angle to the measure of the hypotenuse

The ratio of the side opposite the angle to the measure of the hypotenuse

The ratio of the side opposite the angle to the measure of the side adjacent

The value of x in proportion a/x = x/b where a, b, and x are positive numbers

What is the tangent of an acute angle in a right triangle?

The ratio of the side opposite the angle to the measure of the side adjacent

The ratio of the side opposite the angle to the measure of the hypotenuse

The ratio of the side adjacent to the angle to the measure of the hypotenuse

The value of x in proportion a/x = x/b where a, b, and x are positive numbers

What does the Addition Property of Equality state?

If the same number is added to equal numbers, then the sums are equal

If the same number is subtracted from equal numbers, then the differences are equal

If equal numbers are multiplied by the same number, then the products are equal

If equal numbers are divided by the same number, then the quotients are equal

What does the Subtraction Property of Equality state?

If the same number is subtracted from equal numbers, then the differences are equal

If the same number is added to equal numbers, then the sums are equal

If equal numbers are multiplied by the same number, then the products are equal

If equal numbers are divided by the same number, then the quotients are equal

What does the Multiplication Property of Equality state?

If equal numbers are multiplied by the same number, then the products are equal

If the same number is added to equal numbers, then the sums are equal

If the same number is subtracted from equal numbers, then the differences are equal

If equal numbers are divided by the same number, then the quotients are equal

What does the Division Property of Equality state?

If equal numbers are divided by the same number, then the quotients are equal

If the same number is added to equal numbers, then the sums are equal

If the same number is subtracted from equal numbers, then the differences are equal

If equal numbers are multiplied by the same number, then the products are equal

What does the Reflexive Property of Equality state?

If values are equal, then one value may be substituted for the other

What does the Symmetric Property of Equality state?

If values are equal, then one value may be substituted for the other

What does the Substitution Property of Equality state?

If values are equal, then one value may be substituted for the other

What does the Transitive Property of Equality state?

If values are equal, then one value may be substituted for the other

What does the Distributive Property state?

If values are equal, then one value may be substituted for the other

What does the Reflexive Property of Congruence state?

If A ≅ B and B ≅ C then A ≅ C

What does the Symmetric Property of Congruence state?

If A ≅ B and B ≅ C then A ≅ C

What does the Transitive Property of Congruence state?

If A ≅ B and B ≅ C then A ≅ C

What does the Angle Addition Postulate state?

For any angle, the measure of the whole is equal to the sum of the measures of its non-overlapping parts.

If two angles form a linear pair, then they are supplementary.

If two angles are supplements of the same angle, then they are congruent.

Vertical angles are equal in measure.

What does the Right Angle Congruence Theorem state?

All right angles are congruent.

Vertical angles are equal in measure.

If two angles are complements of the same angle, then they are congruent.

If two angles form a linear pair, then they are supplementary.

What does the Angle Bisector Theorem state?

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

If two angles are supplements of the same angle, then they are congruent.

If two angles form a linear pair, then they are supplementary.

Vertical angles are equal in measure.

What does the Segment Addition Postulate state?

For any segment, the measure of the whole is equal to the sum of the measures of its non-overlapping parts.

Through any two points there is exactly one line.

If two lines intersect, then they intersect at exactly one point.

If two parallel lines are intersected by a transversal, then the corresponding angles are equal in measure.

What does the Corresponding Angles Postulate state?

If two parallel lines are intersected by a transversal, then the corresponding angles are equal in measure.

If two lines intersect, then they intersect at exactly one point.

If two angles form a linear pair, then they are supplementary.

Vertical angles are equal in measure.

What does the Postulate state about a point not on a given line?

There is one and only one line parallel to the given line.

There are no lines parallel to the given line.

There are infinitely many lines parallel to the given line.

There is one and only one line perpendicular to the given line.

According to the Alternate Interior Angles Theorem, what happens when two parallel lines are intersected by a transversal?

Alternate interior angles are equal in measure.

Alternate interior angles are supplementary.

Alternate exterior angles are equal in measure.

Same-side interior angles are equal in measure.

What does the Same-side Interior Angles Theorem state about two parallel lines intersected by a transversal?

Same-side interior angles are supplementary.

Same-side interior angles are equal in measure.

Same-side interior angles are congruent.

Same-side interior angles are complementary.

According to the Perpendicular Transversal Theorem, what happens if a transversal is perpendicular to one of two parallel lines?

It is perpendicular to the other one.

It is parallel to the other one.

It is congruent to the other one.

It is supplementary to the other one.

What does the Parallel Lines Theorem state about two nonvertical lines in a coordinate plane?

They are parallel if they have the same slope.

They are parallel if they have the same y-intercept.

They are parallel if they have the same x-intercept.

They are parallel if they have the same length.

According to the Perpendicular Lines Theorem, when are two nonvertical lines perpendicular in a coordinate plane?

If the product of their slopes is -1.

If the product of their slopes is 1.

If the product of their slopes is 0.

If the product of their slopes is undefined.

What does the Two-Transversals Proportionality Corollary state about three or more parallel lines intersecting two transversals?

They divide the transversals proportionally.

They divide the transversals equally.

They divide the transversals perpendicularly.

They divide the transversals congruently.

Geometry Quiz

Quiz

•

Mathematics

•

8th Grade

•

Practice Problem

•

Hard

•

CCSS

8.G.A.5, HSG.CO.C.11, 7.G.B.5

+18

Standards-aligned

shankprogaming shankprogaming

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CCSS.8.G.A.5

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What is the definition of Complementary Angles?

What is the definition of Supplementary Angles?

What is a Theorem?

What are Vertical Angles?

What is a Transversal?

What are Corresponding Angles?

What are Same-side Interior Angles?

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What are Congruent Triangles?

What are Similar Triangles?

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