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Laabri

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.

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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

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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?

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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?

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Find the value of x.

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12.

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

Draggable itemarrow_right_altCorresponding Item

arrow_right_alt

Vertical angles

arrow_right_alt

Supplementary angles

arrow_right_alt

Complementary angles

arrow_right_alt

Linear pairs

arrow_right_alt

Adjacent Angles

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13.

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

Draggable itemarrow_right_altCorresponding Item

Any two angles whose sum is 90°

arrow_right_alt

Vertical angles

Two angles that are

next to each other and

share a common side.

arrow_right_alt

Supplementary angles

Any two angles whose sum is 180°

arrow_right_alt

Complementary angles

Two angles across from each other on

intersecting lines. They are always congruent!

arrow_right_alt

Linear pairs

Two angles that are

adjacent and supplementary.

They form astraight line!

arrow_right_alt

Adjacent Angles

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14.

Match the angle pairs with their relationship.

equal 180 together

are the same size

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15.

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

  • Item 1

  • Item 2

  • 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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