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Published byBernard Porter Modified over 9 years ago
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Please pick up your workbook.
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ACC Math 1 EQ: What does it mean for two triangles to be congruent?
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Congruent figures have the same size and same shape. The parts of congruent triangles that “match” are called corresponding parts. Two polygons are congruent if ALL pairs of corresponding parts are congruent.
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In a congruence statement ORDER MATTERS!!!! Everything matches up.
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Complete each congruence statement. CA E D B F DEF
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ECD C A E D B Complete each congruence statement.
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GTK K G H T Complete each congruence statement.
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Fill in the blanks BCA ____ ____ GFE EGF CAB
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Complete the congruence statement. _____ JKN MKL
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Complete the congruence statement. _____ CBD ABD
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EOCT - Warm Up 1) Heather is going to graph y = -3x 6 + 3. How is the parent graph transformed? A) The parent graph is reflected over the x-axis, has a vertical stretch by a factor of 3 and is shifted up 3 units. B) The parent graph is reflected over the y-axis, has a vertical stretch by a factor of 3 and is shifted up 3 units. C) The parent graph is reflected over the y-axis, has a vertical stretch by a factor of 3 and is shifted left 3 units. D) The parent graph is reflected over the x-axis, has a vertical compression by a factor of 3 and is shifted up 3 units.
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Determine the domain of the graphed exponential function. A) (-∞, ∞) B) (-∞, 5] C) (-∞, 5) D) (-5, ∞)
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Corresponding Parts of Congruent Triangles are Congruent
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Fill in the blanks If CAT DOG, then A ___ because ________. OO CPCTC C A T O D G
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Fill in the blanks If FJH QRS, then ___ and F ___ because _______. QQ CPCTC BB If XYZ ABC, then ___ and Y ___ because _______.
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Complete each congruence statement. If ABC DEF, then BC ___ EF
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Fill in the blanks If CAT DOG, then ___ O. AA
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Fill in the blanks BAT MON T ___ _____ ONM _____ MO NM ____ NN ATB BA TB
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There are 5 ways to prove triangles congruent.
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Side-Side-Side (SSS) Congruence Postulate All 3 sides in one triangle are congruent to all three sides in the other triangle
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Side-Angle-Side (SAS) Congruence Postulate Two sides and the INCLUDED angle (the angle is in between the 2 marked sides)
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Angle-Side-Angle (ASA) Congruence Postulate Two angles and the INCLUDED side (the side is in between the 2 marked angles)
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Angle-Angle-Side (AAS) Congruence Postulate Two Angles and One Side that is NOT included
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There is one more way to prove triangles congruent, but it’s only for RIGHT TRIANGLES
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Your Only Ways To Prove Triangles Are Congruent NO BAD WORDS
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There are only 3 types of markings YOU can add to a triangle if they are not already marked.
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Overlapping sides are congruent in each triangle by the REFLEXIVE property Vertical Angles are congruent Alt Int Angles are congruent given parallel lines
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SSS, SAS, ASA, AAS, HL, or not congruent. SSS Ex 1
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SSS, SAS, ASA, AAS, HL, or not congruent. AAS I Ex 2
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Not congruent. SSS, SAS, ASA, AAS, HL, or not congruent. Ex 3
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SSS, SAS, ASA, AAS, HL, or not congruent. Ex 4 SAS
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ASA Ex 5 SSS, SAS, ASA, AAS, HL, or not congruent.
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Ex 6 SSS
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Not congruent Ex 7 SSS, SAS, ASA, AAS, HL, or not congruent.
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SAS Ex 8 SSS, SAS, ASA, AAS, HL, or not congruent.
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Ex 9 Not congruent.
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SSS, SAS, ASA, AAS, HL, or not congruent. Ex 10 HL
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Ex 11 What other pair of angles needs to be marked so that the two triangles are congruent by AAS? F D E M L N
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Ex 12 What other pair of angles needs to be marked so that the two triangles are congruent by ASA? F D E M L N
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HW – Worksheet both sides 5 Ways to prove and More Congruent Triangles (ws 23)
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