4. VOCABULARY
1.AcuteTriangle: A triangle in which all three angles
have a measure of less than 90 degrees
2. EquiangularTriangle:
3. ObtuseTriangle:
4. RightTriangle:
5. VOCABULARY
1.AcuteTriangle: A triangle in which all three angles
have a measure of less than 90 degrees
2. EquiangularTriangle: A triangle in which all three
angles have a measure of 60 degrees, thus making
them all equal
3. ObtuseTriangle:
4. RightTriangle:
6. VOCABULARY
1.AcuteTriangle: A triangle in which all three angles
have a measure of less than 90 degrees
2. EquiangularTriangle: A triangle in which all three
angles have a measure of 60 degrees, thus making
them all equal
3. ObtuseTriangle: A triangle in which one of the angles
has a measure greater than 90 degrees
4. RightTriangle:
7. VOCABULARY
1.AcuteTriangle: A triangle in which all three angles
have a measure of less than 90 degrees
2. EquiangularTriangle: A triangle in which all three
angles have a measure of 60 degrees, thus making
them all equal
3. ObtuseTriangle: A triangle in which one of the angles
has a measure greater than 90 degrees
4. RightTriangle:A triangle in which one of the angles
has a measure of 90 degrees
10. VOCABULARY
6. IsoscelesTriangle: A triangle in which at least two sides
have the same measure
7. ScaleneTriangle:
5. EquilateralTriangle: A triangle in which all three sides
have the same measure
11. VOCABULARY
6. IsoscelesTriangle: A triangle in which at least two sides
have the same measure
7. ScaleneTriangle: A triangle in which no two sides have
the same measure
5. EquilateralTriangle: A triangle in which all three sides
have the same measure
13. VOCABULARY
8.Auxiliary Line: An extra line or segment that is added to
a figure to help analyze geometric relationships
9. Exterior Angle:
10. Remote Interior Angles:
11. Flow Proof:
14. VOCABULARY
8.Auxiliary Line: An extra line or segment that is added to
a figure to help analyze geometric relationships
9. Exterior Angle: Formed outside a triangle when one side
of the triangle is extended;The exterior angle is adjacent
to the interior angle of the triangle
10. Remote Interior Angles:
11. Flow Proof:
15. VOCABULARY
8.Auxiliary Line: An extra line or segment that is added to
a figure to help analyze geometric relationships
9. Exterior Angle: Formed outside a triangle when one side
of the triangle is extended;The exterior angle is adjacent
to the interior angle of the triangle
10. Remote Interior Angles: The two interior angles that
are not adjacent to a given exterior angle
11. Flow Proof:
16. VOCABULARY
8.Auxiliary Line: An extra line or segment that is added to
a figure to help analyze geometric relationships
9. Exterior Angle: Formed outside a triangle when one side
of the triangle is extended;The exterior angle is adjacent
to the interior angle of the triangle
10. Remote Interior Angles: The two interior angles that
are not adjacent to a given exterior angle
11. Flow Proof: Uses statements written in boxes with
arrows to show a logical progression of an argument
18. THEOREMS & COROLLARIES
4.1 -Triangle Angle-SumTheorem: The sum of the
measures of the angles of any triangle is 180°
4.2 - Exterior AngleTheorem:
4.1 Corollary:
4.2 Corollary:
19. THEOREMS & COROLLARIES
4.1 -Triangle Angle-SumTheorem: The sum of the
measures of the angles of any triangle is 180°
4.2 - Exterior AngleTheorem: The measure of an exterior
angle of a triangle is equal to the sum of the measures of
the two remote interior angles
4.1 Corollary:
4.2 Corollary:
20. THEOREMS & COROLLARIES
4.1 -Triangle Angle-SumTheorem: The sum of the
measures of the angles of any triangle is 180°
4.2 - Exterior AngleTheorem: The measure of an exterior
angle of a triangle is equal to the sum of the measures of
the two remote interior angles
4.1 Corollary: The acute angles of a right triangle are
complementary
4.2 Corollary:
21. THEOREMS & COROLLARIES
4.1 -Triangle Angle-SumTheorem: The sum of the
measures of the angles of any triangle is 180°
4.2 - Exterior AngleTheorem: The measure of an exterior
angle of a triangle is equal to the sum of the measures of
the two remote interior angles
4.1 Corollary: The acute angles of a right triangle are
complementary
4.2 Corollary: There can be at most one right or obtuse
angle in a triangle
22. EXAMPLE 1
The diagram shows the paths a ball is thrown in a game
played by kids. Find the measure of each numbered angle.
23. EXAMPLE 1
The diagram shows the paths a ball is thrown in a game
played by kids. Find the measure of each numbered angle.
m∠1=180 − 43− 74
24. EXAMPLE 1
The diagram shows the paths a ball is thrown in a game
played by kids. Find the measure of each numbered angle.
m∠1=180 − 43− 74 = 63°
25. EXAMPLE 1
The diagram shows the paths a ball is thrown in a game
played by kids. Find the measure of each numbered angle.
m∠1=180 − 43− 74 = 63°
m∠2
26. EXAMPLE 1
The diagram shows the paths a ball is thrown in a game
played by kids. Find the measure of each numbered angle.
m∠1=180 − 43− 74 = 63°
m∠2 = 63°
27. EXAMPLE 1
The diagram shows the paths a ball is thrown in a game
played by kids. Find the measure of each numbered angle.
m∠1=180 − 43− 74 = 63°
m∠2 = 63°
m∠3 =180 − 63− 79
28. EXAMPLE 1
The diagram shows the paths a ball is thrown in a game
played by kids. Find the measure of each numbered angle.
m∠1=180 − 43− 74 = 63°
m∠2 = 63°
m∠3 =180 − 63− 79 = 38°