Download Proving Triangle Congruence – Ratio

Proving Triangle Congruence – Ratio
Lesson 4.5
You will need a pencil, paper, protractor, and a ruler with centimeter markings for this
activity. Follow the directions below. Check the rubric for grading information.
1. Draw a right triangle with a horizontal leg 8 cm and a vertical leg 10 cm in length.
2. Label the legs with their lengths.
3. Find the length of the hypotenuse and the three angles.
4. Draw a second right triangle with a horizontal 12 cm and a vertical leg 15 cm in
length.
5. Label the legs with their lengths.
6. Find the length of the hypotenuse and the three angles.
7. Write a paper about how these triangles are similar and how they are different.
Include comparisons with the triangles’ two parts – sides and angles. DOUBLE
SPACE!
8. Conclude by answering this question: “Can you use AAA (angle-angle-angle) to
prove two triangles are congruent?” Remember to use proper classroom
formatting on you paper.
The following information is to be used as a guide in developing your Final Draft.
If any of this information is applied in your Final Draft, it must be in your OWN
WORDS.
The triangle’s angles are congruent. (Define Congruent)
The triangle’s sides are PROPORTIONAL. (Define Similar)
Triangle “A” legs: 8cm, 10cm
Triangle “B” legs: 12cm, 15cm
Proportion (or ratio):
Reduce:
A
8
10
B
12
15
4
5
4
5
Leg
Short
Medium