Classifying Triangles
51 min 16 Examples
- Introduction to classifying triangles
- How do we classify triangles? Overview of the types of classification
- Identify the type for each triangle (Examples #1-11)
- What is the triangle sum theorem and the exterior angle theorem?
- Find the degree measure of each angle in the triangle (Examples #12-14)
- How to find the measure of an angle in a triangle (Example #15)
- Complete the two column proof (Example #16)
Congruent Figures
41 min 9 Examples
- Introduction to identifying congruent figures
- How to identify congruent figures? How to write congruency statements?
- Write a congruence statement for the pair of congruent figures (Examples #1-4)
- Write a congruence statement for the pair of congruent figures (Examples #5-6)
- Find x and y given pair of congruent quadrilaterals (Example #7)
- Find x and y given pair of congruent triangles (Example #8)
- Give the reason for each statement (Example #9)
SSS SAS Postulates
38 min 13 Examples
- Introduction to SAS and SSS Theorems
- What are SAS and SSS Postulates?
- Are the triangles congruent by SAS? (Examples #1-3)
- Are the triangles congruent by SSS? (Examples #4-6)
- Write SAS, SSS or Not Congruent (Examples #7-12)
- Complete the two-column proof (Example #13)
ASA AAS Postulates
54 min 13 Examples
- Introduction ASA and AAS postulates
- What are the Angle-Side-Angle and Angle-Angle-Side postulates?
- If possible, write a congruency statement using ASA, AAS, SSS, or SAS (Examples #1-6)
- If possible, write a congruency statement using AAS, ASA, SAS, or SSS (Examples #7-10)
- Complete the two column proof (Examples #11-13)
Hypotenuse Leg Theorem
50 min 15 Examples
- Introduction three triangle theorems
- Overview of the Hypotenuse-Leg Theorem, Isosceles Triangle Theorem, and the Equilateral Triangle Theorem
- In each figure, find the values of x and y using triangle properties (Examples #1-6)
- Given two parallel lines, find the value of each indicated angle (Example #7)
- If possible, prove the two triangles are congruent using SSS, SAS, ASA, AAS, or HL (Examples #8-13)
- Complete the two-column proof (Examples #14-15)
Bisector Theorems
1 hr 5 min 9 Examples
- Introduction to angle and perpendicular bisector theorems
- Overview of the perpendicular bisector theorem and the circumcenter
- Overview of the angle bisector theorem and the incenter
- Use the perpendicular or angle bisector theorem to find the missing sides and angles (Examples #1-3)
- Find the indicated measure given the perpendicular bisector or angle bisector (Examples #4-6)
- Find the indicated measure given the angle bisector or perpendicular bisector (Examples #7-9)
Medians and Altitudes
1 hr 21 min 13 Examples
- Medians and altitudes introduction
- Medians of triangles and the centroid theorem
- Find the indicated measures given the median of a triangle (Examples #1-2)
- Find the indicated measures given one or more medians (Examples #3-4)
- Find the indicates measures given two medians of the triangle (Examples #5-6)
- How to find the coordinate of the centroid given vertices (Examples #7-8)
- Altitudes of triangles and the orthocenter (Example #9)
- Find the indicated measure given the altitude of the triangle (Examples #10-12)
- Determine if the segment is a median, an altitude, the perpendicular bisector, or an angle bisector (Example #13)
- Key facts about the circumcenter, incenter, centroid, and the orthocenter of triangles
Midsegment Theorem
1 hr 4 min 27 Examples
- Midsegment & hinge theorem introductions
- Overview of the midsegment theorem (Examples #1-8)
- Use the midsegment Theorem to find the indicated measure (Example #9)
- Complete the two-column proof given midsegments of a triangle (Example #10)
- Overview of the triangle inequality theorem, exterior angle inequality, and the hinge theorem
- List the sides and angles in order from least to greatest and determine if the triangle exists (Examples #11-18)
- Given the triangle, create an inequality and solve for x (Examples #19-20)
- Complete each statement with less than, greater than, or equal to (Examples #21-24)
- Use the Hinge Theorem to solve for x (Examples #25-27)
Chapter Test
1 hr 38 min 42 Examples
- Classify each triangle and list all that apply (Problems #1-6)
- Find the indicated measure (Problems #7-11)
- Determine if the pair of triangles are congruent. If so, write a congruency statement and state the postulate (Problems #12-19)
- Find the indicated measure (Problems #20-22)
- Fill in the blanks (Problems #23-28)
- Find the indicated measure given one or more medians (Problems #29-30)
- Find the coordinate of the centroid (Problems #31-32)
- Find the indicated measure given a midsegment or centroid (Problems #33-34)
- Find the indicated measure a bisector or altitude (Problems #35-36)
- Write an inequality for the given triangle or pair of triangles (Problems #37-39)
- Complete the two-column proof (Problems #40-42)