Congruent Figures

Front

What are congruent figures?

Back

Congruent figures are shapes that are identical in form and size. They can be superimposed on each other through rotations, translations, or reflections.

Front

If ∆LMK ≅ ∆LMT, what can we say about the lengths of corresponding sides?

Back

The corresponding sides of congruent triangles are equal in length. Therefore, MK = MT, LM = LM, and LK = LT.

Front

What is the significance of the order of letters in a congruence statement?

Back

The order of letters in a congruence statement indicates which angles and sides correspond to each other. For example, in ∆ABC ≅ ∆DEF, angle A corresponds to angle D, angle B to angle E, and angle C to angle F.

Front

How do you identify corresponding angles in congruent quadrilaterals?

Back

In congruent quadrilaterals, corresponding angles are those that occupy the same relative position in each figure. For example, angle A in quadrilateral ABCD corresponds to angle E in quadrilateral EFGH.

Front

What is a congruence statement?

Back

A congruence statement is a mathematical expression that shows that two figures are congruent. It lists the corresponding vertices of the figures, such as ∆ABC ≅ ∆DEF.

Front

If trapezoid ABCD is congruent to trapezoid WXYZ, what can we say about their angles?

Back

The corresponding angles of congruent trapezoids are equal. For example, if

Front

What does the symbol '≅' represent in geometry?

Back

The symbol '≅' represents congruence, indicating that two figures have the same shape and size.

Front

How can you determine if two triangles are congruent?

Back

Two triangles can be determined to be congruent using criteria such as SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), or HL (Hypotenuse-Leg for right triangles).

Front

What is the relationship between the angles of congruent triangles?

Back

In congruent triangles, corresponding angles are equal. For example, if ∆ABC ≅ ∆DEF, then angle A = angle D, angle B = angle E, and angle C = angle F.

Front

If ∆FGH ≅ ∆VWH, what can we conclude about their sides?

Back

If ∆FGH ≅ ∆VWH, then the lengths of corresponding sides are equal: FG = VW, GH = WH, and FH = VV.