CH #4 Class Review

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

Front

What is the SSS Congruence Postulate?

Back

The SSS Congruence Postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

Front

Define ASA Congruence.

Back

ASA Congruence stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are congruent to two angles and the included side of another triangle.

Front

What is AAS Congruence?

Back

AAS Congruence stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle.

Front

What does HL Congruence refer to?

Back

HL Congruence refers to the Hypotenuse-Leg theorem, which states that in right triangles, if the hypotenuse and one leg of one triangle are congruent to the hypotenuse and one leg of another triangle, then the triangles are congruent.

Front

What is the significance of the statement ∡AED≅∡BEC in a proof?

Back

The statement ∡AED≅∡BEC indicates that two angles are congruent, which is often a critical step in proving triangle congruence or establishing relationships between geometric figures.

Front

How do you set up an equation to solve for x in a geometric context?

Back

To set up an equation for x, identify the relationships between the angles or sides involved, and express them algebraically, such as 42 + 8x = 2 + 12x.

Front

What is the perimeter of a quadrilateral?

Back

The perimeter of a quadrilateral is the total length of all its sides. For example, if the sides are in the ratio 2:4:6:7 and the total perimeter is 85.5, you can find the lengths of each side.

Front

If the sides of a quadrilateral are in the ratio 2:4:6:7, how do you find the length of the longest side?

Back

To find the longest side, first determine the total parts of the ratio (2+4+6+7=19). Then, divide the perimeter by the total parts and multiply by the ratio for the longest side.

Front

What is the formula for finding the length of a side in a ratio?

Back

If the sides are in the ratio a:b:c:d and the perimeter is P, then the length of each side can be found using the formula: Length of side = (side ratio / total ratio parts) * P.