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Definitions
Theorems
Postulates/Corollaries
Proofs
Practice Problems
100
Polygons that have congruent corresponding sides and angles.
What is Congruent Polygons?
100
If two angles of one triangle are congruent to two angles of another triangle, then the third angles of each triangle are also congruent
What is Theorem 4-1? Congruent Angels Theorem/ Third Angels Theorem
100
If three sides of a triangle are congruent to another triangle, then the two triangles are congruent
What is postulate 4-1? (SSS)
100
http://images.slideplayer.com/14/4491400/slides/slide_6.jpg Given-
A. Given B. 180 C. subst. prop.
100
Which postulate would you use to prove they are congruent? https://dr282zn36sxxg.cloudfront.net/datastreams/f-d%3A77ca1d4d5a96259729f68cffe461702e9c92b5abb6018335683fa888%2BIMAGE%2BIMAGE.1
SAS
200
The included angle of the two congruent legs of an isosceles triangle.
What is a vertex angle?
200
If two angles and a non-included side are congruent to two angles and a non-included side of another triangle, then the two triangles are congruent.
What is Theorem 4-2? (AAS)
200
If two sides and the included angle are congruent to two sides and included angle of another triangle, then the two triangles are congruent.
What is postulate 4-2? (SAS)
200
http://slideplayer.com/slide/10716266/37/images/2/b..jpg given- E is the midpoint of HD and JC prove- triangle HJE= triangle DCE
E is the midpoint of HD and JC l given HE=DE and JE=CE l def of midpoint
200
Which postulate would you use to prove they are congruent? http://www.algebralab.org/img/91fbb60c-e4e6-47dc-bc32-a216ebb3d706.gif AQ=BP
AAS
300
The side opposite of the right angle in a right triangle. Is the longest side of a triangle.
What is a hypotenuse?
300
If two sides of a triangle are congruent, then the opposite angles of those sides are congruent
What is theorem 4-3? (Isosceles Triangle Theorem)
300
If two angles and the included side are congruent to two angles and an included side of another triangle, then the two triangles are congruent.
What is postulate 4-3? (ASA)
300
http://image.mathcaptain.com/cms/images/45/Congruent-Triangles-Problems.jpg Given- AC and BD bisect each other Prove- triangle AEB=triangle DCE
Not necessarily, the angles are not included between the pairs of = angles
300
What is the value of X? http://3.bp.blogspot.com/-5puqEVd0l_0/VVH4dCJAg9I/AAAAAAAAA-A/gfdiXkmATA4/s1600/Find%2Bx%2Band%2By%2Btriangle.png
X=19
400
A theorem that can be proved easily using another theorem. It can be used as a reason in a proof.
What is a corollary?
400
If two angles of a triangle are congruent, then the opposite sides of the angles are also congruent.
What is converse of the Isosceles Triangle theorem?
400
If a triangle is equilateral, then the triangle is equiangular.
What is corollary to theorem 4-3?
400
https://www.mathplanet.com/Oldsite/media/44005/parallelogram1_499x300.jpg Given-
1. Reflexive property 2. AAS
400
What is the value of X? http://dj1hlxw0wr920.cloudfront.net/userfiles/wyzfiles/28fbca64-df41-44d8-b9ea-751037d5f995.gif
X=5
500
A type of triangle that has two congruent legs and angles.
What is an isosceles triangle?
500
If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.
What is the hypotenuse leg theorem?
500
If a triangle is equiangular, then the triangle is equilateral.
What is corollary to theorem 4-4?
500
https://upload.wikimedia.org/wikibooks/en/6/64/Rectangle2.jpg Given-
A. triangle BAC and triangle DCA are right triangles B. AC=CA C. BA=DC D. Hypotenuse leg theorem
500
Name the common angles and sides of the triangles ABC and DCB. http://www.howe-two.com/teacher/graphics/Geometry/Overlapping_Triangles.gif
angles- C, B sides- BC