Triangle Congruence and Angle Measures

The video tutorial explores the concept of triangle congruence by examining four triangles. It begins by setting up the problem of identifying which triangles are congruent. The instructor demonstrates how to calculate missing angles using the angle sum property and applies the angle-side-angle criterion to determine congruence. The tutorial concludes by identifying the congruent triangles and summarizing the findings.

What is the main task given in the video regarding the triangles?

• To determine which triangles are congruent

• To find the area of the triangles

• To calculate the perimeter of the triangles

• To identify the type of triangles

Tags

CCSS.8.G.A.5

What is the sum of the angles in a triangle?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

Tags

CCSS.8.G.A.5

If two angles of a triangle are 36 and 82 degrees, what is the third angle?

• 62 degrees

• 72 degrees

• 92 degrees

• 52 degrees

Tags

CCSS.8.G.A.5

What is the third angle of a triangle with angles 36 and 59 degrees?

• 85 degrees

• 105 degrees

• 75 degrees

• 95 degrees

Tags

CCSS.7.G.B.5

What is the measure of angle ACB if angles A and B are 36 and 82 degrees respectively?

• 62 degrees

• 52 degrees

• 92 degrees

• 72 degrees

Tags

CCSS.8.G.A.5

What is the third angle of a triangle with angles 82 and 62 degrees?

• 66 degrees

• 56 degrees

• 46 degrees

• 36 degrees

Tags

CCSS.8.G.A.2

What is required in addition to angles to determine triangle congruence?

• The color of the triangle

• The area of the triangle

• The length of at least one side

• The type of triangle

Tags

CCSS.8.G.A.2

Why can't triangles i j h and l m k be concluded as congruent?

• They are not drawn to scale

• They have different colors

• They lack side length information

• They have different areas

Tags

CCSS.8.G.A.2

Which triangles are concluded to be congruent in the video?

• Triangles a b c and f d e

• Triangles a b c and i j h

• Triangles i j h and l m k

• Triangles f d e and l m k

Tags

CCSS.HSG.SRT.B.5

What criterion is used to determine the congruence of triangles a b c and f d e?

• Side-Side-Side

• Side-Angle-Side

• Angle-Side-Angle

• Angle-Angle-Angle

Tags

CCSS.HSG.SRT.B.5