Triangle Congruence and Congruent Figures Assessment

This video tutorial covers the concept of triangle congruence, focusing on congruent figures, their properties, and how to identify congruent triangles using transformations. It explains the reflexive, symmetric, and transitive properties of congruence and demonstrates the CPCTC principle. The tutorial includes examples to illustrate congruent triangles and solve for unknown variables.

What does it mean for two figures to be congruent?

• They have the same color.

• They have the same shape and size.

• They are mirror images.

• They are both polygons.

Tags

CCSS.8.G.A.2

What is the purpose of marking triangles with lines and arcs?

• To indicate congruent sides and angles.

• To indicate different sizes.

• To show different colors.

• To differentiate between triangles.

Tags

CCSS.8.G.A.2

What does CPCTC stand for?

• Corresponding parts of congruent triangles are congruent.

• Congruent polygons of corresponding triangles.

• Congruent parts of corresponding triangles are congruent.

• Corresponding polygons of congruent triangles.

Tags

CCSS.HSG.SRT.B.5

Which property states that a shape is congruent to itself?

• Distributive property

• Reflexive property

• Transitive property

• Symmetric property

Tags

CCSS.8.G.A.2

What does the symmetric property of congruence imply?

• If a shape is congruent to a second shape, then the second is congruent to the first.

• Shapes can change sides in a congruence statement.

• A shape is always congruent to itself.

• If two shapes are congruent to a third, they are congruent to each other.

Tags

CCSS.HSG.SRT.B.5

How can the transitive property of congruence be used?

• If two shapes are congruent to a third, they are congruent to each other.

• To demonstrate that shapes are always congruent to themselves.

• To prove that similar shapes are congruent.

• To show that congruent shapes can be similar.

Tags

CCSS.8.G.A.2

In triangle congruence, what does it mean if side BI is congruent to side TO?

• There is no relationship between BI and TO.

• BI and TO are of equal length.

• BI is longer than TO.

• BI is shorter than TO.

Tags

CCSS.HSG.CO.B.7

If angle J is 25 degrees in a congruent triangle, what is the measure of angle N?

• 180 degrees

• 100 degrees

• 25 degrees

• 55 degrees

Tags

CCSS.HSG.CO.B.7

What is the value of x if JL equals 68 and NM equals 2x + 50?

• x = 68

• x = 18

• x = 9

• x = 34

Tags

CCSS.HSG.CO.C.10

What must be the measure of angle G if it is congruent to angle T, which measures 80 degrees?

• 80 degrees

• 40 degrees

• 60 degrees

• 100 degrees

Tags

CCSS.HSG.SRT.B.5