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Geometry 4-6 Congruence in Right Triangles
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by Matthew Richardson
| 24 Questions
Note from the author:
A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.
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The outlined content above was added from outside of Formative.
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1
5 pts
Solve It! One of the tent flaps was damaged in a storm. Can you use the other flap as a pattern to replace it?
Yes
No
2
10 pts
Explain.
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The outlined content above was added from outside of Formative.
3
20 pts
Problem 1 Got It? Complete the proof on the canvas.
4
10 pts
Problem 1 Got It? Reasoning: Your friend says, "Suppose you have two triangles with congurent hypotenuses and one pair of congruent legs. It does not matter which leg in the first triangle is congruent to which leg in the second triangle. The triangles will be congruent." Is your friend correct? Explain.
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5
20 pts
Problem 2 Got It? Complete the proof on the canvas.
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6
10 pts
A
B
C
D
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7
10 pts
A
B
C
D
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8
10 pts
A
B
C
D
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9
10 pts
A
B
C
D
10
5 pts
Vocabulary: A right triangle has side lengths of 5 cm, 12 cm, and 13 cm. What is the length of the hypotenuse?
5 cm
12 cm
13 cm
11
10 pts
Vocabulary: Explain how you identified the hypotenuse in the previous item.
12
10 pts
Compare and Contrast: How do the HL Theorem and the SAS Postulate compare? How are they different? Explain.
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13
10 pts
Error Analysis: Your classmate says that there is not enough information to determine whether the two triangles shown are congruent. Is your classmate correct?
Yes
No
14
10 pts
Explain.
15
5 pts
Review Lesson 4-5: Consider the congruence statement.

What type of triangle must △STU be?
Consider sketching △STU and labeling all known information.
isosceles
equilateral
scalene
16
5 pts
Review Lesson 4-5: Consider the congruence statement.

What type of triangle must △STU be?
Consider sketching △STU and labeling all known information.
isosceles
equilateral
scalene
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17
10 pts
Review Lessons 4-3 & 4-6: Can you conlude that the triangles are congruent? Explain.


No, they're not or there is not enough information.
Yes, they're congruent by SSS.
Yes, they're congruent by SAS.
Yes, they're congruent by AAS.
Yes, they're congruent by ASA.
18
5 pts
Vocabulary Review: True or False? Segments that are congruent have the same length.
True
False
19
5 pts
Vocabulary Review: True or False? Polygons that are congruent have the same shape but are not always the same size.
True
False
20
5 pts
Vocabulary Review: True or False? In congruent figures, corresponding angles have the same measure.
True
False
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21
5 pts
right
congruent
22
5 pts
right
congruent
23
5 pts
right
congruent
24
10 pts
Reflection: Math Success
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