Geometry 4-7 Complete Lesson: Congruence in Overlapping Triangles
star
star
star
star
star
Last updated over 3 years ago
26 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.
10 points
10
Question 1
1.
Solve It! An assignment for your graphic design class is to make a colorful design using triangles. How many triangles are in your design? Enter only a number.
10 points
10
Question 2
2.
Take Note: Define common angle (in overlapping triangles). On the canvas, sketch a pair of overlapping triangles and label a common angle.
10 points
10
Question 3
3.
Take Note: Define common side (in overlapping triangles). On the canvas, sketch a pair of overlapping triangles and label a common side.
10 points
10
Question 4
4.
Problem 1 Got It?
10 points
10
Question 5
5.
Problem 1 Got It?
20 points
20
Question 6
6.
Problem 2 Got It? Complete the proof on the canvas.
You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.
20 points
20
Question 7
7.
Problem 3 Got It? Complete the proof on the canvas.
You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.
20 points
20
Question 8
8.
Problem 4 Got It? Complete the proof on the canvas.
You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.
10 points
10
Question 9
9.
10 points
10
Question 10
10.
10 points
10
Question 11
11.
Separate and redraw the overlapping triangles. Label the vertices.
You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.
10 points
10
Question 12
12.
Separate and redraw the overlapping triangles. Label the vertices.
You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.
10 points
10
Question 13
13.
Reasoning: In Exercise 1, both triangles have vertices J and K. Are ∠J and ∠K common angles for △MKJ and △LJK? Explain. You may also use the canvas to help illustrate your explanation.
10 points
10
10 points
10
Question 15
15.
Reasoning: In the figure, which pair of triangles could you prove congruent first in order to prove that △ACD ≅ △CAB ? Explain. You may also use the canvas to help illustrate your explanation.
5 points
5
Question 16
16.
Enter only the word that fills the blank, with no spaces.
5 points
5
Question 17
17.
Enter only the word that fills the blank, with no spaces.
5 points
5
Question 18
18.
Enter only the word that fills the blank, with no spaces.
5 points
5
Question 19
19.
20 points
20
Question 20
20.
Review Lesson 3-6: Complete the construction using the GeoGebra geometry utility (embedded below or at geogebra.org/geometry). Screenshot your final product and upload it to the canvas. Be sure to label all points and leave any evidence that indicates how you completed the task.
Draw a line p and a point M not on p. Then construct line n through M so that n is perpendicular to P.
You may leave lines and points unlabeled.
5 points
5
Question 21
21.
Review Lesson 1-7: Find the coordinates of the midpoint of the segment with the given endpoints.
5 points
5
Question 22
22.
Review Lesson 1-7: Find the coordinates of the midpoint of the segment with the given endpoints.
Enter your response in this format, no spaces: (-3.5,14).
5 points
5
Question 23
23.
Review Lesson 1-7: Find the coordinates of the midpoint of the segment with the given endpoints.
Enter your response in this format, no spaces: (-3.5,14).
10 points
10
Question 24
24.
Vocabulary Review: Identify the common side of each pair of triangles.
\overline{RP}
\overline{ZY}
\overline{RT}
\overline{WX}
\overline{WY}
\overline{AC}
\overline{AB}
△ABC and △ADC
△XWZ and △YWZ
△RST and △RPT
10 points
10
Question 25
25.
Use Your Vocabulary: Refer to the diagram and identify the common regions of the overlapping figures named on the right.
