HL Theorem and Proof DO NOW 1124 Given

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H-L Theorem and Proof DO NOW 11/24: Given the triangle below, what additional information

H-L Theorem and Proof DO NOW 11/24: Given the triangle below, what additional information do we need to have one of our congruence shortcuts? How can we find that information using only what is given? Agenda 1. HW/CW Review and Note Check 2. H-L Theorem 3. Triangle Congruence Proof 4. Debrief 12 cm 15 cm

Hypotenuse-Leg (H-L) Theorem In a right triangle, if we are given the hypotenuse and

Hypotenuse-Leg (H-L) Theorem In a right triangle, if we are given the hypotenuse and any other side we can always use Pythagorean Theorem to find the final side. A B E C D F *MUST BE IN NOTES!* We therefore will always be able to find if these triangles are congruent by SSS or SAS.

Triangle Congruence: Flow Chart Proof

Triangle Congruence: Flow Chart Proof

Triangle Congruence Proof Jigsaw At each table there is a proof that must be

Triangle Congruence Proof Jigsaw At each table there is a proof that must be solved using a triangle congruence shortcut. 1: 00 – Identify and mark given info in diagram 2: 00 – Set up flow chart 3: 00 – Fill in statements 4: 00 – Fill in reasons

Debrief What are some common steps used to solve proof using congruence shortcuts? What

Debrief What are some common steps used to solve proof using congruence shortcuts? What is one mistake you made today you can try and avoid in the future?

Proving Isosceles Triangles DO NOW 11/25: Are the two triangles congruent? By what shortcut?

Proving Isosceles Triangles DO NOW 11/25: Are the two triangles congruent? By what shortcut? Agenda 1. NOTE CHECK!!! 2. Constructing Isosceles Triangles 3. Proof of Isosceles Triangles 4. Properties of Isosceles Triangles 5. Debrief 25 in

Isosceles Triangle Construction 1. 2. 3. 4. 5. Draw segment PR Draw a circle

Isosceles Triangle Construction 1. 2. 3. 4. 5. Draw segment PR Draw a circle with center point P that is bigger than half of PR Draw another congruent circle with center R. Label the two points of intersection of the two circles Q and S. Connect them with a line. Pick any point on QS and label it T. Connect segments PT and RT to form triangle PRT.

Isosceles Triangle Proof Using your construction, complete a flow chart proof for the following:

Isosceles Triangle Proof Using your construction, complete a flow chart proof for the following: Given: QS ⊥ PR; QS bisects PR T Prove: △PTM is congruent to △RTM △PTR is isosceles Q M S

Properties of an Isosceles Triangle Sides Angles *MUST BE IN NOTES!*

Properties of an Isosceles Triangle Sides Angles *MUST BE IN NOTES!*

Debrief How can we use triangles shortcuts and proof to come up with definitions?

Debrief How can we use triangles shortcuts and proof to come up with definitions?

S 1 Clemency Day! Or… “Pardoning the Turkeys” 1. Note Check 2. Break Work

S 1 Clemency Day! Or… “Pardoning the Turkeys” 1. Note Check 2. Break Work Review (Embedded Assessment) 3. Missing Work 4. Debrief DO NOW 11/26: Find the value of x. Are the two triangles congruent?

Embedded Assessment

Embedded Assessment

Clemency Day! “Or…Pardoning the Turkeys” Clemency – (n. ) showing forgiveness or compassion in

Clemency Day! “Or…Pardoning the Turkeys” Clemency – (n. ) showing forgiveness or compassion in judgment Each table has an assignment from Q 2 that you are missing. Today is your day to complete those assignments! If you have NO missing assignments, well done! You may work on your Break Work (Embedded Assessment) at the designated table. Turkey Pardoning

Debrief Have a great Thanksgiving Break!

Debrief Have a great Thanksgiving Break!

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