Download Math Notes: Theorem Graphic Organizer

Math Notes: Theorem Graphic Organizer Copy the following in your Theorem Graphic Organizer and place in the Math Notes sec:on of your binder. 3 Minutes #1 Ver:cal Angles Theorem When two lines intersect, the angles that lie on opposite sides of the intersec:on point are ver:cal angles. Ver2cal angles are always congruent. ∠AED ≅ ∠BEC
∠AEC ≅ ∠BED
Exercise 1-­‐70 Math Notes: Theorem Graphic Organizer Copy the following in your Theorem Graphic Organizer and place in the Math Notes sec:on of your binder. 3 Minutes #2 Corresponding Angles Theorem If lines intersected by a transversal are parallel, then corresponding angles are congruent. ∠a ≅ ∠w
∠b ≅ ∠x
∠c ≅ ∠y
∠d ≅ ∠z
Exercise 1-­‐83 Math Notes: Theorem Graphic Organizer Copy the following in your Theorem Graphic Organizer and place in the Math Notes sec:on of your binder. 3 Minutes #3 Alternate Interior Angles Theorem If lines intersected by a transversal are parallel, then alternate interior angles are congruent. ∠c ≅ ∠x
∠d ≅ ∠w
Exercise 1-­‐94 Math Notes: Theorem Graphic Organizer Copy the following in your Theorem Graphic Organizer and place in the Math Notes sec:on of your binder. 3 Minutes #4 Same-­‐Side Interior Angles Theorem If lines intersected by a transversal are parallel, then same-­‐side interior angles are supplementary. ∠c + ∠w = 180°
∠d + ∠x = 180°
Exercise 1-­‐95 Math Notes: Theorem Graphic Organizer Copy the following in your Theorem Graphic Organizer and place in the Math Notes sec:on of your binder. 3 Minutes #5 Triangle Angle Sum Theorem If a polygon is a triangle, then the measures of its angles always add up to 180°. ∠a + ∠b + ∠c = 180°
Exercise 1-­‐104 Math Notes: Theorem Graphic Organizer Copy the following in your Theorem Graphic Organizer and place in the Math Notes sec:on of your binder. These theorems are on Page 74 in the textbook. 3 Minutes #6 S-­‐S-­‐S Triangle Congruence Theorem If all three pairs of corresponding sides are congruent, then the triangles are congruent. Textbook Page 74 Math Notes: Theorem Graphic Organizer Copy the following in your Theorem Graphic Organizer and place in the Math Notes sec:on of your binder. These theorems are on Page 74 in the textbook. 3 Minutes #7 S-­‐A-­‐S Triangle Congruence Theorem If two pairs of corresponding sides are congruent and the angles between them (the included angle) are congruent, then the triangles are congruent. Textbook Page 74 Math Notes: Theorem Graphic Organizer Copy the following in your Theorem Graphic Organizer and place in the Math Notes sec:on of your binder. These theorems are on Page 74 in the textbook. 3 Minutes #8 A-­‐S-­‐A Triangle Congruence Theorem If two pairs of corresponding angles are congruent and the sides between them are congruent, then the triangles are congruent. Textbook Page 74 Math Notes: Theorem Graphic Organizer Copy the following in your Theorem Graphic Organizer and place in the Math Notes sec:on of your binder. These theorems are on Page 74 in the textbook. 3 Minutes #9 A-­‐A-­‐S Triangle Congruence Theorem If two pairs of corresponding angles and a pair of corresponding sides that is not between them are congruent, then the triangles are congruent. Textbook Page 74 Math Notes: Theorem Graphic Organizer Copy the following in your Theorem Graphic Organizer and place in the Math Notes sec:on of your binder. These theorems are on Page 79 in the textbook. 3 Minutes #10 Reflexive Property Textbook Page 79 Math Notes: Theorem Graphic Organizer Copy the following in your Theorem Graphic Organizer and place in the Math Notes sec:on of your binder. These theorems are on Page 79 in the textbook. 3 Minutes #11 Symmetric Property Textbook Page 79 Math Notes: Theorem Graphic Organizer Copy the following in your Theorem Graphic Organizer and place in the Math Notes sec:on of your binder. These theorems are on Page 79 in the textbook. 3 Minutes #12 Transi:ve Property Textbook Page 79 Math Notes: Theorem Graphic Organizer Copy the following in your Theorem Graphic Organizer and place in the Math Notes sec:on of your binder. These theorems are on Page 79 in the textbook. 3 Minutes #13 Isosceles Triangle Theorem If a triangle is isosceles, then the base angles (which are opposite the congruent sides) are congruent. BA ≅ BC
∠BAC ≅ ∠BCA
Exercise 2-­‐17 (Page 79) Math Notes: Theorem Graphic Organizer Copy the following in your Theorem Graphic Organizer and place in the Math Notes sec:on of your binder. These theorems are on Page 85 in the textbook. 3 Minutes #14 Triangle Exterior Angle Theorem The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote (non-­‐adjacent) interior angles of the triangle. ∠a + ∠b = ∠x
Exercise 2-­‐29 (Page 85) Math Notes: Theorem Graphic Organizer Copy the following in your Theorem Graphic Organizer and place in the Math Notes sec:on of your binder. These theorems are on Page 120 in the textbook. 3 Minutes #15 A-­‐A Triangle Similarity Condi:on If two pairs of corresponding angles are congruent, then the two triangles must be similar. Textbook Page 120 Math Notes: Theorem Graphic Organizer Copy the following in your Theorem Graphic Organizer and place in the Math Notes sec:on of your binder. These theorems are on Page 120 in the textbook. 3 Minutes #16 S-­‐A-­‐S Triangle Similarity Condi:on If two pairs of corresponding side lengths have the same ra2o, and the included angles are congruent, then the two triangles must be similar. ka kb
=
a
b
Textbook Page 120 Math Notes: Theorem Graphic Organizer Copy the following in your Theorem Graphic Organizer and place in the Math Notes sec:on of your binder. These theorems are on Page 120 in the textbook. 3 Minutes #17 S-­‐S-­‐S Triangle Similarity Condi:on If all three pairs of corresponding side lengths have the same ra2o, then the two triangles must be similar. ka kb kc
= =
a
b
c
Textbook Page 120