1st Semester Exam Review 24-25

Front

What is the scale factor for similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures. For example, if the smaller figure has a side length of 5 and the larger figure has a side length of 6, the scale factor is 6/5.

Front

If ∆LMK ≅ ∆LMT, what can we conclude about the angles?

Back

If two triangles are congruent, then their corresponding angles are also congruent. Therefore, ∠K ≅ ∠T.

Front

How do you find the value of x in an equation?

Back

To find the value of x, isolate x on one side of the equation using inverse operations. For example, if the equation is x + 5 = 24, subtract 5 from both sides to get x = 19.

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in the same position on different parallel lines cut by a transversal. For example, if two parallel lines are crossed by a transversal, the angles in matching corners are corresponding angles.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side. It is a postulate that states if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the definition of similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of corresponding sides are proportional.

Front

What is the difference between SAS and ASA in triangle congruence?

Back

SAS (Side-Angle-Side) requires two sides and the included angle to be congruent, while ASA (Angle-Side-Angle) requires two angles and the included side to be congruent.

Front

How do you determine if two triangles are congruent?

Back

Two triangles are congruent if their corresponding sides and angles are equal. You can use congruence postulates like SSS, SAS, ASA, AAS, or HL.

Front

What is the relationship between scale factor and area of similar figures?

Back

The area of similar figures is proportional to the square of the scale factor. If the scale factor is k, then the ratio of the areas is k^2.

Front

What is a transversal in geometry?

Back

A transversal is a line that intersects two or more other lines at distinct points. It is often used to create angles with the lines it intersects.