Proving Triangle Congruence with HL Method

The video tutorial explains how to prove triangles are congruent using the HL (Hypotenuse-Leg) theorem, which applies only to right triangles. It details the conditions required for HL congruence and provides two examples to illustrate the concept. The first example involves triangles LMP and MNP, while the second example uses triangles WVX and YZX. The tutorial concludes with instructions for students to check Google Classroom for further tasks.

What does HL stand for in the context of triangle congruence?

• Hypotenuse-Length

• Hypotenuse-Leg

• Height-Length

• Height-Leg

Tags

CCSS.HSG.SRT.B.5

Why can HL only be used in right triangles?

• Because only right triangles have a hypotenuse

• Because right triangles are isosceles

• Because right triangles have equal sides

• Because right triangles have equal angles

What is the hypotenuse in a right triangle?

• The longest side

• The shortest side

• The side opposite the right angle

• The side adjacent to the right angle

In the example with triangles LMP and MNP, which property is used to show that they share a side?

• Substitution Property

• Transitive Property

• Symmetric Property

• Reflexive Property

Tags

CCSS.HSG.SRT.B.5

In the example with triangles LMP and MNP, what is the given information?

• ML is congruent to MN

• LMP is congruent to MNP

• LMP is congruent to LNP

• ML is congruent to MP

Tags

CCSS.HSG.CO.B.7

In the second example, what does the midpoint of WY imply?

• WX is congruent to XZ

• WX is congruent to WZ

• WX is congruent to WY

• WX is congruent to XY

Tags

CCSS.HSG.CO.C.10

In the second example, which sides are identified as the legs?

• WB and YC

• WX and XY

• WX and WZ

• WB and WY

What is the definition of a midpoint used for in the second example?

• To show that WB is congruent to WY

• To show that WX is congruent to WZ

• To show that WX is congruent to XY

• To show that WB is congruent to YC

Tags

CCSS.HSG.SRT.B.4

What is the final step to prove the triangles are congruent in both examples?

• Identifying the congruent sides

• Identifying the right angle

• Identifying the hypotenuse and one leg

• Identifying the midpoint

Tags

CCSS.HSG.SRT.B.5

Where should students check for further instructions after the lesson?

• Google Classroom

• Textbook

• School Website

• Email

Tags

CCSS.RI.6.3

CCSS.RI.7.3

CCSS.RI.7.5

CCSS.RI.8.3

CCSS.RI.9-10.5