What’ s Your Type? The Same Old Thing X Marks the Spot Prove It!Short Cuts How’s Your Memory? BONUS
What’s your type?
30° 120° 30° √
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 o 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
√ Using the Isosceles Triangle Theorem: Find m D (6y+1) (21y+13) D OG
Shortcuts √
√ 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?