Instructional Video
Sophia Learning

Sophia: Double Diagonals of a Parallelogram: Lesson 1

6th - 8th Standards
This lesson cover the concept that that when both diagonals are drawn in on a parallelogram, two pairs of congruent triangles are formed. It is 1 of 5 in the series titled "Double Diagonals of a Parallelogram."
Instructional Video
Sophia Learning

Sophia: Double Diagonals of a Rectangle: Lesson 3

6th - 8th
Following this lesson, you'll know that when both diagonals are drawn in on a rectangle, two pairs of congruent isosceles triangles are formed. It is 3 of 5 in the series titled "Double Diagonals of a Rectangle."
Instructional Video
Sophia Learning

Sophia: Double Diagonals of a Rectangle: Lesson 4

6th - 8th
Following this lesson, you'll know that when both diagonals are drawn in on a rectangle, two pairs of congruent isosceles triangles are formed. It is 4 of 5 in the series titled "Double Diagonals of a Rectangle."
Instructional Video
Sophia Learning

Sophia: Double Diagonals of a Rectangle: Lesson 1

6th - 8th
Following this lesson, you'll know that when both diagonals are drawn in on a rectangle, two pairs of congruent isosceles triangles are formed. It is 1 of 5 in the series titled "Double Diagonals of a Rectangle."
Instructional Video
Sophia Learning

Sophia: Double Diagonals of a Square: Lesson 4

6th - 8th
The fact that that when both diagonals are drawn in on a square, four congruent 45-45-90 triangles are formed is discussed in this lesson. It is 4 of 5 in the series titled "Double Diagonals of a Square."
Instructional Video
Sophia Learning

Sophia: Double Diagonals of a Square: Lesson 1

6th - 8th
The fact that that when both diagonals are drawn in on a square, four congruent 45-45-90 triangles are formed is discussed in this lesson. It is 1 of 5 in the series titled "Double Diagonals of a Square."
Instructional Video
Sophia Learning

Sophia: Equilateral Triangle Interior Angles Practice Problems: Lesson 4

9th - 10th
This lesson will provide practice problems that involve solving for unknown angle and side measures of equilateral triangles. It is 4 of 5 in the series titled "Equilateral Triangle Interior Angles Practice Problems."
Instructional Video
Sophia Learning

Sophia: Sas Triangle Congruence: Lesson 3

9th - 10th Standards
This lesson will explain that demonstrating that two pairs of sides are equal in length and that the included angles are equal will suffice in showing that two triangles are congruent. It is 3 of 5 in the series titled "SAS Triangle...
Instructional Video
Sophia Learning

Sophia: Sas Triangle Congruence: Lesson 5

9th - 10th Standards
This lesson will explain that demonstrating that two pairs of sides are equal in length and the included angles are equal will suffice in showing that two triangles are congruent. It is 5 of 5 in the series titled "SAS Triangle...
Instructional Video
Sophia Learning

Sophia: Sas Triangle Congruence: Lesson 1

9th - 10th Standards
This lesson will explain that demonstrating that two pairs of sides are equal in length and that the included angles are equal will show that two triangles are congruent. It is 1 of 5 in the series titled "SAS Triangle Congruence." [1:48]
Instructional Video
Sophia Learning

Sophia: Solve for an Angle of an Isosceles Triangle: Lesson 3

6th - 9th
Given the value of one angle in an isosceles triangle in this lesson, you'll be able to solve for the value of either one of the missing angles, as long as you know which two interior angles are congruent. It is 3 of 12 in the series...
Instructional Video
Sophia Learning

Sophia: Solve for an Angle of an Isosceles Triangle: Lesson 8

9th - 10th
Given the value of one angle in an isosceles triangle in this lesson, you'll be able to solve for the value of either one of the missing angles, as long as you know which two interior angles are congruent. It is 8 of 12 in the series...
Instructional Video
Sophia Learning

Sophia: Solve for an Angle of an Isosceles Triangle: Lesson 1

6th - 9th
Given the value of one angle in an isosceles triangle in this lesson, you'll be able to solve for the value of either one of the missing angles, as long as you know which two interior angles are congruent. It is 1 of 12 in the series...
Instructional Video
Sophia Learning

Sophia: Triangle Angle Combinations: Lesson 4

7th - 8th
This lesson explains how you can have 3 acute angles, 1 obtuse and 2 acute angles or 1 right and 2 acute angles in a triangle. It is 4 of 7 in the series titled "Triangle Angle Combinations."
Instructional Video
Sophia Learning

Sophia: Triangle Angle Combinations: Lesson 1

7th - 8th
This lesson explains how you can have 3 acute angles, 1 obtuse and 2 acute angles or 1 right and 2 acute angles in a triangle. It is 1 of 7 in the series titled "Triangle Angle Combinations."
Instructional Video
Sophia Learning

Sophia: Triangle Congruence Theorem (Hl): Lesson 4

9th - 10th Standards
This lesson will present the Hypotenuse-Leg Triangle Congruence Theorem. It is 4 of 5 in the series titled "Triangle Congruence Theorem (HL)." [2:47]
Instructional Video
Sophia Learning

Sophia: Triangle Notation: Lesson 5

9th - 10th
Following this lesson, you'll be able to name a triangle based on the three vertices and the triangle symbol. It is 5 of 6 in the series titled "Triangle Notation."
Instructional Video
Sophia Learning

Sophia: Triangle Notation: Lesson 1

9th - 10th
Following this lesson, you'll be able to name a triangle based on the three vertices and the triangle symbol. It is 1 of 6 in the series titled "Triangle Notation."
Instructional Video
Sophia Learning

Sophia: Double Diagonals of a Parallelogram

6th - 8th Standards
This lesson cover the concept that that when both diagonals are drawn in on a parallelogram, two pairs of congruent triangles are formed.
Instructional Video
Sophia Learning

Sophia: Equilateral Triangle Interior Angles Practice Problems: Lesson 2

9th - 10th Standards
This lesson will provide practice problems that involve solving for unknown angle and side measures of equilateral triangles. It is 2 of 5 in the series titled "Equilateral Triangle Interior Angles Practice Problems."
Instructional Video
Sophia Learning

Sophia: Equilateral Triangle Interior Angles Practice Problems: Lesson 3

9th - 10th Standards
This lesson will provide practice problems that involve solving for unknown angle and side measures of equilateral triangles. It is 3 of 5 in the series titled "Equilateral Triangle Interior Angles Practice Problems."
Instructional Video
Sophia Learning

Sophia: Solve for an Angle of an Isosceles Triangle: Lesson 6

9th - 10th
Given the value of one angle in an isosceles triangle in this lesson, you'll be able to solve for the value of either one of the missing angles, as long as you know which two interior angles are congruent. It is 6 of 12 in the series...
Instructional Video
Sophia Learning

Sophia: Double Diagonals of a Square

6th - 8th
The fact that that when both diagonals are drawn in on a square, four congruent 45-45-90 triangles are formed is discussed in this lesson.
Instructional Video
Sophia Learning

Sophia: Double Diagonals of a Rectangle

6th - 8th
Following this lesson, you'll know that when both diagonals are drawn in on a rectangle, two pairs of congruent isosceles triangles are formed.