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QR Challenge: Name that Theorem: Congruent Triangles

Created using the ClassTools QR Treasure Hunt Generator

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Teacher Notes

A. Prior to the lesson:

1. Arrange students into groups. Each group needs at least ONE person who has a mobile device.

2. If their phone camera doesn't automatically detect and decode QR codes, ask students to

3. Print out the QR codes.

4. Cut them out and place them around your class / school.

B. The lesson:

1. Give each group a clipboard and a piece of paper so they can write down the decoded questions and their answers to them.

2. Explain to the students that the codes are hidden around the school. Each team will get ONE point for each question they correctly decode and copy down onto their sheet, and a further TWO points if they can then provide the correct answer and write this down underneath the question.

3. Away they go! The winner is the first team to return with the most correct answers in the time available. This could be within a lesson, or during a lunchbreak, or even over several days!

C. TIPS / OTHER IDEAS

4. A detailed case study in how to set up a successful QR Scavenger Hunt using this tool can be found here.

Questions / Answers (teacher reference)

Question

Answer

1. If three corresponding sides of one triangle are congruent to three corresponding sides of another triangle, then the triangles are congruent.SSS
2. If two corresponding sides and the included angle of one triangle are congruent to two corresponding sides and the included angle of another triangle, then the triangles are congruent. SAS
3. If two corresponding angles and the included side of one triangle are congruent to two corresponding angles and the included side of another triangle, then the two triangles are congruent. ASA
4. If two corresponding angles and a non-included side of one triangle are congruent to two corresponding angles and a non-included side of another triangle, then the two triangles are congruent.AAS
5. Points on a perpendicular bisector of a line segment are equidistant to the endpoints of a segment. Perpendicular Bisector Theorem
6. If the hypotenuse and leg of one triangle is congruent to the hypotenuse and leg of another triangle, then the triangles are congruent.HL
7. If two legs of one right triangle are congruent to two legs of another right triangle, then the triangles are congruent. LL
8. If the hypotenuse and acute angle of one right triangle are congruent to the hypotenuse and same acute angle of another right triangle, then the triangles are congruent.HA
9. If a leg and acute angle of a right triangle are congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.LA
10. If two sides of a triangle are congruent, then the angles opposite these sides are also congruent.Isosceles Triangle Base Angles Theorem
11. If two angles of a triangle are congruent, then the sides opposite these angles are congruent.Converse of the Isosceles Triangle Theorem
12. Given rectangle ABCD with sides AB congruent to CD and BC congruent to AD and diagonal BD. State if this is enough information to prove that triangle ABD is congruent to triangle CDB. State the theorem used. Yes,HL
13. Two ladders are on level ground leaning against the side of the house. The bottom of each ladder is exactly 2.5 feet directly out from the base of the house. The point at which each ladder rests against the house is 10 feet directly above the base of the house. Is there enough information to determine if the ladders are the same length using CPCTC? If so how would you prove so?Yes, LL or SAS
14. Given triangle TDU, with segment DV being a perpendicular bisector of side TU. Draw a diagram and determine if there is enough information to prove segments DT congruent to segment DU by CPCTC. If so, what theorem can be used to prove the triangles congruent.Yes, LL or SAS
15. Given rhombus GHJK with diagonal HK. Determine if there is enough information to prove triangle KGH congruent to triangle HJK. If so, tell which theorem you used.Yes, SSS

 


Name that Theorem: Congruent Triangles: QR Challenge

https://www.classtools.net/QR/decode.php?text=If_three_corresponding_sides_of_one_triangle_are_congruent_to_three_corresponding_sides_of_another_triangle,_then_the_triangles_are_congruent.

Question 1 (of 15)

 


Name that Theorem: Congruent Triangles: QR Challenge

https://www.classtools.net/QR/decode.php?text=If_two_corresponding_sides_and_the_included_angle_of_one_triangle_are_congruent_to_two_corresponding_sides_and_the_included_angle_of_another_triangle,_then_the_triangles_are_congruent.

Question 2 (of 15)

 


Name that Theorem: Congruent Triangles: QR Challenge

https://www.classtools.net/QR/decode.php?text=If_two_corresponding_angles_and_the_included_side_of_one_triangle_are_congruent_to_two_corresponding_angles_and_the_included_side_of_another_triangle,_then_the_two_triangles_are_congruent.

Question 3 (of 15)

 


Name that Theorem: Congruent Triangles: QR Challenge

https://www.classtools.net/QR/decode.php?text=If_two_corresponding_angles_and_a_non-included_side_of_one_triangle_are_congruent_to_two_corresponding_angles_and_a_non-included_side_of_another_triangle,_then_the_two_triangles_are_congruent.

Question 4 (of 15)

 


Name that Theorem: Congruent Triangles: QR Challenge

https://www.classtools.net/QR/decode.php?text=Points_on_a_perpendicular_bisector_of_a_line_segment_are_equidistant_to_the_endpoints_of_a_segment.

Question 5 (of 15)

 


Name that Theorem: Congruent Triangles: QR Challenge

https://www.classtools.net/QR/decode.php?text=If_the_hypotenuse_and_leg_of_one_triangle_is_congruent_to_the_hypotenuse_and_leg_of_another_triangle,_then_the_triangles_are_congruent.

Question 6 (of 15)

 


Name that Theorem: Congruent Triangles: QR Challenge

https://www.classtools.net/QR/decode.php?text=If_two_legs_of_one_right_triangle_are_congruent_to_two_legs_of_another_right_triangle,_then_the_triangles_are_congruent.

Question 7 (of 15)

 


Name that Theorem: Congruent Triangles: QR Challenge

https://www.classtools.net/QR/decode.php?text=If_the_hypotenuse_and_acute_angle_of_one_right_triangle_are_congruent_to_the_hypotenuse_and_same_acute_angle_of_another_right_triangle,_then_the_triangles_are_congruent.

Question 8 (of 15)

 


Name that Theorem: Congruent Triangles: QR Challenge

https://www.classtools.net/QR/decode.php?text=If_a_leg_and_acute_angle_of_a_right_triangle_are_congruent_to_the_corresponding_leg_and_acute_angle_of_another_right_triangle,_then_the_triangles_are_congruent.

Question 9 (of 15)

 


Name that Theorem: Congruent Triangles: QR Challenge

https://www.classtools.net/QR/decode.php?text=If_two_sides_of_a_triangle_are_congruent,_then_the_angles_opposite_these_sides_are_also_congruent.

Question 10 (of 15)

 


Name that Theorem: Congruent Triangles: QR Challenge

https://www.classtools.net/QR/decode.php?text=If_two_angles_of_a_triangle_are_congruent,_then_the_sides_opposite_these_angles_are_congruent.

Question 11 (of 15)

 


Name that Theorem: Congruent Triangles: QR Challenge

https://www.classtools.net/QR/decode.php?text=Given_rectangle_ABCD_with_sides_AB_congruent_to_CD_and_BC_congruent_to_AD_and_diagonal_BD._State_if_this_is_enough_information_to_prove_that_triangle_ABD_is_congruent_to_triangle_CDB._State_the_theorem_used.

Question 12 (of 15)

 


Name that Theorem: Congruent Triangles: QR Challenge

https://www.classtools.net/QR/decode.php?text=Two_ladders_are_on_level_ground_leaning_against_the_side_of_the_house._The_bottom_of_each_ladder_is_exactly_2.5_feet_directly_out_from_the_base_of_the_house._The_point_at_which_each_ladder_rests_against_the_house_is_10_feet_directly_above_the_base_of_the_house._Is_there_enough_information_to_determine_if_the_ladders_are_the_same_length_using_CPCTC?_If_so_how_would_you_prove_so?

Question 13 (of 15)

 


Name that Theorem: Congruent Triangles: QR Challenge

https://www.classtools.net/QR/decode.php?text=Given_triangle_TDU,_with_segment_DV_being_a_perpendicular_bisector_of_side_TU._Draw_a_diagram_and_determine_if_there_is_enough_information_to_prove_segments_DT_congruent_to_segment_DU_by_CPCTC._If_so,_what_theorem_can_be_used_to_prove_the_triangles_congruent.

Question 14 (of 15)

 


Name that Theorem: Congruent Triangles: QR Challenge

https://www.classtools.net/QR/decode.php?text=Given_rhombus_GHJK_with_diagonal_HK._Determine_if_there_is_enough_information_to_prove_triangle_KGH_congruent_to_triangle_HJK._If_so,_tell_which_theorem_you_used.

Question 15 (of 15)