Geometry 3-5 Parallel Lines and Triangles

by Matthew Richardson

| 25 QuestionsNote 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.

1

30 pts

Solve It! Take and embed pictures on the canvas to document your progress after each step.

1. Draw and cut out a large triangle.

2. Tear off all three corners of the triangle.

3. Place the three corner pieces (that you tore off) so that they form adjacent angles.

2

10 pts

Solve It! What is the sum of the meaures of the three angles of your triangle?

Enter only a number.

3

10 pts

Analysis: Do all triangles have the same interior angle sum? How does the Solve It! activity support your answer?

4

4

10 pts

Problem 1 Got It?

A

B

C

D

5

10 pts

Vocabulary: Define remote interior angles in your own words.

6

10 pts

Problem 2 Got It? Two angles of a triangle measure 53. What is the measure of an exterior angle at each vertex of the triangle?

53, 53, 74

74, 74, 106

106, 127, 127

127, 127, 127

7

8

7

10 pts

Problem 3 Got It? In Problem 3, can you find m∠A without using the Triangle Exterior Angle Theorem?

Yes

No

9

9

10 pts

A

B

C

D

10

10

10 pts

A

B

C

D

11

11

10 pts

A

B

C

D

12

12

10 pts

A

B

C

D

13

13

10 pts

A

B

C

D

14

14

10 pts

A

B

C

D

15

10 pts

Reasoning: Explain how the Triangle Exterior Angle Theorem makes sense based on the Triangle Angle-Sum Theorem.

16

17

16

10 pts

Error Analysis: The measures of the interior angles of a triangle are 30, x, and 3x. Which of these methods for solving for x is incorrect?

A

B

18

18

5 pts

Review Lesson 3-4: If ∠1 and ∠2 are supplementary, what can you conclude about lines a and c?

They are perpendicular.

They are parallel.

They are neither parallel nor perpendicular.

19

10 pts

Review Lesson 3-4: ∠ABC and ∠CBD form a linear pair. If m∠ABC = 3x + 20 and m∠CBD = x + 32, find the value of x. Enter only a number.

20

10 pts

Review Lesson 3-4: ∠1 and ∠2 are supplementary. If ∠1 ≅ ∠2, find m∠1 and m∠2. Enter only a number.

21

10 pts

Use Your Vocabulary: Classify each statement as true or false.

- A tripod is a stand that has three legs.
- A triangle is a polygon with three or more sides.
- A triathlon is a race with two events - swimming & bicycling.
- In order to triple an amount, multiply it by three.

- True
- False

22

23

24

22

5 pts

0

1

2

infinitely many

23

5 pts

Enter only a number.

24

5 pts

Enter only a number.

25

10 pts

Reflection: Math Success

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