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Biblioteka

7.4 Triangle Inequality Theorem (Due 4/25/24)

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Review

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Day 2 2/26/25

Determining Order from Smallest to Largest of Sides of a Triangle

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Determining Order from Smallest to Largest of Angles of a Triangle

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Isosceles and Equilateral Triangles

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Essential Question: How can you use inequalities to describe the relationships among side lengths and angle measures in a triangle?

Learning Target: Students will be able to describe the relationships among triangle sides using side lengths and measures and use that information to solve real-world problems.

Complete the entire document and use full sentences when prompted for full credit.

Responses without work will receive no points.

Pitanje 1
1.

Determine if each group of three side is a triangle.

Triangle

Not a Triangle

16 m, 21 m, 39 m

18 in, 6 in, 13 in

34 km, 27 km, 58 km

29 ft, 38 ft, 9 ft

12 cm, 12 cm, 25 cm

31 yd, 14 yd, 19 yd

Pitanje 2
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Pitanje 6
6.

How many integer values of x are there so that x, 5, and 8 could be the lengths of the sides of a triangle?

Pitanje 7
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How many integer values of x are there so that x, 12, and 6 could be the lengths of the sides of a triangle?

Pitanje 8
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Pitanje 9
9.

Find the value of x.

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Pitanje 12
12.

Match the image with the angle relationship it describes...

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

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Vertical angles

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Supplementary angles

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Complementary angles

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Linear pairs

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Adjacent Angles

Pitanje 13
13.

Match the definition of the angle relationship with the angle relationships it describes...

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

Any two angles whose sum is 90°

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Vertical angles

Two angles that are

next to each other and

share a common side.

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Supplementary angles

Any two angles whose sum is 180°

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Complementary angles

Two angles across from each other on

intersecting lines. They are always congruent!

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Linear pairs

Two angles that are

adjacent and supplementary.

They form astraight line!

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Adjacent Angles

Pitanje 14
14.

Match the angle pairs with their relationship.

equal 180 together

are the same size

Pitanje 15
15.

Match the example to what type of angle pair it represents.

  • Item 2

  • Item 1

  • Corresponding Angles

  • Alternate Interior Angles

  • Alternate Exterior Angles

  • Same-Side Interior Angles

  • Same-Side Exterior Angles

Key points about parallel lines cut by a transversal (These are your reasons):

Alternate Interior Angles are congruent

Alternate Exterior Angles are congruent

Corresponding Angles are congruent

Same-Side Interior Angles are supplementary

Same-Side Exterior Angles are supplementary

Also

Linear pairs of angles are supplementary

Vertical angles are congruent

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