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What’ s Your Type? The Same Old Thing X Marks the Spot Prove It!Short Cuts How’s Your Memory? 400 500 100 200 300 100 200 300 400 500 100 200 300 400 500 100 200 400 300 500 100 200 300 400 500 100 200 300 400 500 600 700 600 700 600 700 600 700 600 700 600 700 BONUS
What’s your type?
30° 120° 30° 18 10 √
Sum of two nonadjacent interior angles √
Classify all three triangles by side length. √ A B D C 35 65
Triangle with two 40° angles √
Triangle with a 30 degree angle and a 60 degree angle. √
Triangle that is always acute √
√ Classify all three triangles by angle measure. 35 60 5o A B C D
The Same Old Thing √
Name the congruent figures and ALL of the corresponding congruent parts √ P S Q R
√ A BC D
Use the definition of congruent triangles to prove RPS RPQ. √ P Q R S
State the third congruence that must be given to prove triangles congruent. √ Given: FE ON F O Prove: DEF MNO Method: AAS
State the third congruence that must be given to prove triangles congruent. √ Given: A X B Y Prove: ABC XYZ Method: AAS
State the third congruence that must be given to prove triangles congruent. √ Given: DE MN M D Prove: DEF MNO Method: SAS
State the third congruence that must be given to prove triangles congruent. √ Given: A X AB XY Prove: ABC XYZ Method: ASA
X marks the spot √
Find the value of x and classify the triangle √ MP H G J N 122 24 (2x - 6) ∆JGH ∆PMN M G N H
Find the value of x and classify the triangle √ 3x (2x + 11)(8x + 5)
Find the value of the third angle measure x if one of the acute angles in a right triangle is 40 degrees √
Find the value of x √ (7x + 1) 38 (10x + 9)
Find the value of x and classify the triangle √ 6x 10 x
Find the value of x √ 34 xx 4 4
Find the value of x and y √ x°x° y°y° 50°
Prove it! √
√ Given: MA TA, AHM=90 Prove: AHM AHT A T H M
√ Given: A B, ADC BDC Prove: AC BC A D B C
√ Given: T is the midpoint of PR and QS Prove: STR QTP P S R Q T
√ Given: JK LM, KJS MLS, JR LQ Prove: LQR JRQ S KQR M J L
√ Given: A B, CA ┴AB, D is the midpoint of AB, AC BC Prove: ACD BCD (using no shortcuts) A D B C
√ Prove the Exterior Angles Theorem: m 1 + m 2 = m 4 1 2 3 4
√ Using the Isosceles Triangle Theorem: Find m D (6y+1) (21y+13) D OG
√ Name the theorem and list the statement or tell why it can’t be determined A B C D
√ A E C B D
√ Name the congruence method or none
√ Name the theorem and list the statement or tell why it can’t be determined F R OG
√ Name the congruence method or none V Z W U XY VY WX XV YW VXY WYX
√ Name the congruence method or none V Z W U XY VX WY VY BISECTS XZ WX BISECTS ZY VXY WYX
√ M N O P Q Name the congruence method or none MOQ PNQ
√ How’s Your Memory?
√ If two angles form a linear pair then they are:
√ If two lines are perpendicular then the angles created at their intersection are:______
√ The acute angles of a right triangle are:
√ ___ is the set of all points inside a triangle and ____ is the set of all points outside a triangle.
√ Angles formed by two sides of a triangle with a common vertex
√ An angle formed by one side of a polygon and the extension of an adjacent side
√ Interior angles of a polygon that are not adjacent to the exterior angle but their sum is equal to the measure of the exterior angle.
BET IT ALL Given m A= 43 degrees and the measure of CBD is twice that of CBA, what is the measure of C?
What’ s Your Type? The Same Old Thing X Marks the Spot Prove It!Short Cuts How’s Your Memory?
Lesson 4.1 Classifying Triangles Today, you will learn to… * classify triangles by their sides and angles * find measures in triangles.
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Be able to identify which triangles can be constructed by the methods: SSS, SAS, AAS, ASA, SsA, or HL. Be able to construct those triangles that can be.
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Triangles The sum of the measures of the angles of a triangle is 180 degrees. m A + m B + m C = 180 o A BC An angle formed by a side and an extension.
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Scalene Triangle No sides congruent Isosceles Triangle Exactly 2 sides congruent Equilateral Triangle All sides congruent.
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Chapter 12 and Chapter 3 Geometry Terms. Adjacent and Vertical Angles Two angles are adjacent angles when they share a common side and have the same vertex.
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TRIANGLE SUM PROPERTIES 4.1. TO CLARIFY******* A triangle is a polygon with three sides. A triangle with vertices A, B, and C is called triangle ABC.
4.9 (M1) Prove Triangles Congruent by SAS & HL. Vocabulary In a right triangle, the sides adjacent to the right angle are the legs. In a right triangle,
Practice Quiz Triangles. 1 If PRQ is an isosceles triangle with PQ = PR, find the measure of QPX. ? QPX: Exterior Angle 60 ∆PRQ: Isosceles Triangle.
Solve for x and y: 43° 75° y° x° 75° = y + 43° 75 – 43 = y 32° = y z° x and 43° are Alternate Interior Angles 43° = x.
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