Congruency Transformations in Geometry

The video lecture on congruency transformation covers the understanding of congruent geometric shapes through various transformations such as rotation, reflection, and translation. It explains the core concept of congruency transformation, which involves moving an object without altering its shape or size. The lecture includes problem-solving examples and exercises to reinforce the understanding of congruency, concluding with a higher-order thinking problem to challenge students' comprehension.

What is the primary goal of learning about congruency transformations?

• To change the size of geometric shapes

• To understand how geometric shapes are congruent

• To learn about different types of angles

• To explore non-geometric transformations

How can angle PRS be transformed into angle WRQ?

• By enlarging it

• By changing its color

• By translating it to a new location

• By reflecting it on point R or rotating it 180 degrees on point R

Which of the following is NOT a type of congruency transformation?

• Translation

• Reflection

• Rotation

• Dilation

What remains unchanged during a congruency transformation?

• The material of the object

• The color of the object

• The location of the shape

• The size and shape of the object

Which shape is congruent to square ABCD?

• Circle XYZ

• Square QPR

• Rectangle DEF

• Triangle KLM

How is triangle KLM congruent to triangle EFG?

• By translation

• By reflection across the x-axis

• By rotation

• By enlargement

What transformation can prove that triangle STU is congruent to triangle HIJ?

• Color change

• Scaling

• Translation

• Reflection over y = x or rotation by 180 degrees

If angle J is 60 degrees, what is the measure of angle U?

• 120 degrees

• 90 degrees

• 60 degrees

• 30 degrees

Why are angles CBD and DBE not congruent?

• They are the same angle

• They can be rotated onto each other

• They can be translated onto each other

• They cannot be transformed onto each other by any congruency transformation

What geometric shape results from combining line segments AB and CB?

• A circle

• A triangle

• A line

• A square