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Geometry: Congruent Triangles

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Presentation on theme: "Geometry: Congruent Triangles"— Presentation transcript:

1 Geometry: Congruent Triangles
Jeopardy! Geometry: Congruent Triangles

2 Vocabulary Triangle Congruence CPCTC Isosceles & Equilateral Right Triangles 200 200 200 200 200 400 400 400 400 400 600 600 600 600 600 800 800 800 800 800 1000 1000 1000 1000 1000

3 Vocabulary The two congruent sides of an isosceles triangle form this.

4 Vocabulary What is the vertex angle?
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5 Vocabulary If you know that two triangles are congruent, then the corresponding sides and angles of the triangles are congruent because of this.

6 Vocabulary What is CPCTC?
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7 Vocabulary The angles of an isosceles triangle that are not the vertex angle are called this.

8 Vocabulary What are the base angles?
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9 Vocabulary A this to a theorem is a statement that follows immediately from the theorem.

10 Vocabulary What is a corollary?
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11 Vocabulary These polygons have congruent corresponding parts.

12 Vocabulary What is congruent?
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13 Triangle Congruence These triangles are congruent by this postulate.

14 Triangle Congruence What is SSS?
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15 Triangle Congruence These triangles are congruent by this postulate.

16 Triangle Congruence What is SAS?
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17 Triangle Congruence These triangles are congruent by this theorem.

18 Triangle Congruence What is AAS?
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19 Triangle Congruence These triangles are congruent by this postulate.

20 Triangle Congruence What is ASA?
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21 Triangle Congruence These triangles are congruent by this theorem.

22 Triangle Congruence What is the HL Theorem?
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23 CPCTC CPCTC stands for this.

24 CPCTC What is corresponding parts of congruent triangles are congruent?
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25 CPCTC This is how CPCTC is used in proofs.

26 CPCTC What is prove two triangles congruent and then you can prove parts of the triangles are congruent? HOME

27 T V G R C H

28 CPCTC What is they are equal or they are congruent?
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29 C B D A

30 CPCTC What is BC=DC? HOME

31 C B D A

32 HOME

33 Isosceles and Equilateral Triangles This theorem says if 2 sides of a triangle are congruent, then the angles opposite those sides are congruent.

34 Isosceles and Equilateral Triangles What is the Isosceles Triangle Theorem?
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35 Isosceles and Equilateral Triangles If a triangle is equilateral, then the triangle is this.

36 Isosceles and Equilateral Triangles What is equiangular?
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37 Isosceles and Equilateral Triangles This theorem says if two angles of a triangle are congruent, then the sides opposite the angles are congruent.

38 Isosceles and Equilateral Triangles What is the Converse of Isosceles Triangle Theorem?
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39 Isosceles and Equilateral Triangles The bisector of the vertex angle of an isosceles triangle is the this of the base.

40 Isosceles and Equilateral Triangles What is perpendicular bisector?
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41 Isosceles and Equilateral Triangles If a triangle is equiangular, then the triangle is this.

42 Isosceles and Equilateral Triangles What is equilateral?
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43 Right Triangles This theorem says 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.

44 Right Triangles What is Hypotenuse-Leg Theorem?
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45 Right Triangles What additional information do you need to prove the triangles congruent by the HL theorem? T R L K B Q

46 Right Triangles What is angles T and Q are right angles and LT=KQ or BT=RQ?
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47 T R V Q

48 Right Triangles What is nothing?
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49 Right Triangles Tell whether the HL Theorem can be used to prove the triangles congruent. T is the midpoint of RV. R T S V U

50 Right Triangles What is yes?
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51 Right Triangles Tell whether the HL Theorem can be used to prove the triangles congruent. T is the midpoint of RV. R T S V U

52 Right Triangles What is no?
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53 Final Jeopardy Question
Quadrilateral ABCD is congruent QRST. This segment is congruent to segment TS.

54 Final Jeopardy What is DC?


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