Congruent Figures Real World Problems

Identify the congruent figures from the following options: A) Triangle ABC and Triangle DEF B) Square PQRS and Rectangle LMNO C) Circle O with radius 5cm and Circle P with radius 5cm

• B) Square PQRS and Triangle LMNO

• D) Rectangle ABCD and Circle P with radius 5cm

• C) Circle O with radius 5cm and Triangle DEF

• A) Triangle ABC and Triangle DEF

Which of the following pairs of figures are congruent? A) Triangle XYZ and Triangle UVW B) Pentagon LMNOP and Hexagon ABCDEF C) Rectangle PQRS and Rectangle WXYZ

• C) Trapezoid UVWX and Trapezoid YZAB

• B) Square LMNO and Triangle PQRS

• A) Circle ABC and Circle DEF

• A) Triangle XYZ and Triangle UVW

Determine if the following figures are congruent: A) Triangle ABC with side lengths 3, 4, 5 and Triangle DEF with side lengths 6, 8, 10 B) Square PQRS with side length 7cm and Rectangle LMNO with length 7cm and width 5cm C) Circle O with radius 10cm and Circle P with diameter 10cm

• Circle O and Circle P are congruent

• Square PQRS and Rectangle LMNO are congruent

• Rectangle LMNO and Square PQRS are congruent

• Triangle ABC and Triangle DEF are congruent

Prove that Triangle ABC is congruent to Triangle DEF using the SSS (Side-Side-Side) congruence criterion.

• We can prove that Triangle ABC is congruent to Triangle DEF using the SSS criterion by showing that the length of side AB is equal to the length of side DE, the length of side BC is not equal to the length of side EF, and the length of side AC is equal to the length of side DF.

• We can prove that Triangle ABC is congruent to Triangle DEF using the SSS criterion by showing that the length of side AB is equal to the length of side DE, the length of side BC is equal to the length of side EF, and the length of side AC is equal to the length of side DF.

• We can prove that Triangle ABC is congruent to Triangle DEF using the SSS criterion by showing that the length of side AB is not equal to the length of side DE, the length of side BC is not equal to the length of side EF, and the length of side AC is not equal to the length of side DF.

• We can prove that Triangle ABC is congruent to Triangle DEF using the SSS criterion by showing that the length of side AB is equal to the length of side DE, the length of side BC is equal to the length of side EF, and the length of side AC is not equal to the length of side DF.

Prove that Quadrilateral PQRS is congruent to Quadrilateral WXYZ using the SAS (Side-Angle-Side) congruence criterion.

• We can prove that PS = WY, QS = XZ, and angle P = angle W. Therefore, Quadrilateral PQRS is congruent to Quadrilateral WXYZ using the SAS congruence criterion.

• We can prove that PQ = WX, RS = YZ, and angle P = angle W. Therefore, Quadrilateral PQRS is congruent to Quadrilateral WXYZ using the SAS congruence criterion.

• We can prove that PQ = WY, QR = XZ, and angle P = angle Z. Therefore, Quadrilateral PQRS is congruent to Quadrilateral WXYZ using the SAS congruence criterion.

• We can prove that PQ = WX, QR = YZ, and angle P = angle W. Therefore, Quadrilateral PQRS is congruent to Quadrilateral WXYZ using the SAS congruence criterion.

Explain a real-life scenario where understanding congruent figures is important and how it is applied in that situation.

• In car manufacturing for designing different models

• In gardening for planting different types of flowers

• In cooking for preparing different recipes

• In architecture for designing and constructing buildings

How can the concept of congruent figures be used in architecture and construction?

• By ensuring that different parts of a building or structure fit together perfectly, leading to a more stable and aesthetically pleasing design.

• By making sure that the parts of the building are all different shapes

• By ignoring the concept and focusing solely on aesthetics

• By using different measurements for each part of the building

In what ways can the knowledge of congruent figures be applied in the field of engineering?

• Designing and manufacturing symmetrical and identical parts

• Creating new fashion designs

• Developing new software programs

• Building bridges and roads