Relationship in Triangles Review

Perpendicular segments create _______ ?

• obtuse angles

• acute angles

• right angles

• parallel angles

Answer explanation

Perpendicular segments create right angles.

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

A line that is perpendicular to a segment at its midpoint is called a ____________.

• midsegment

• perpendicular bisector

• median

• altitude

Answer explanation

A line that is perpendicular to a segment at its midpoint is called a perpendicular bisector. It divides the segment into two equal parts.

Use the information in the diagram to find x.

• 0.2

• 22

• 2

• 0.5

Answer explanation

These angles are congruent so we need to set them equal to each other and solve.

Tags

CCSS.HSG.CO.C.11

Use the information in the diagram to find x.

• 8

• 12

• 20

• 4

Answer explanation

These segments are congruent so we need to set them equal to each other and solve.

Tags

CCSS.HSG.CO.C.9

What is the length of segment ZY ?

• cannot be determined

• 1.35

• 5.4

• 2.7

Tags

CCSS.HSG.CO.C.9

Name the shortest side of Triangle ABC.

• AB

• BC

• AC

Answer explanation

The shortest side is always across from the smallest angle.

Tags

CCSS.HSG.CO.C.10

Put the sides of the triangle in order from smallest to largest.

• TS, RT, RS

• TS, RS, RT

• RT, TS, RS

• RS, RT, TS

Tags

CCSS.HSG.CO.C.10

Put the angles in order from smallest to largest.

• X, Y, Z

• Z, X, Y

• Y, X, Z

• Y, Z, X

Tags

CCSS.HSG.CO.C.10

Can the sides of a triangle have lengths 4, 11, and 13?

• Yes

• No

Answer explanation

Yes, the sides of a triangle can have lengths 4, 11, and 13. This is because these lengths satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Tags

CCSS.7.G.A.2

Determine if it is possible to form a triangle with the given side lengths. 7 yd, 8 yd, 16 yd

• yes

• no

Answer explanation

It is not possible to form a triangle with side lengths of 7 yd, 8 yd, and 16 yd. The sum of the two shorter sides (7 yd and 8 yd) is less than the length of the longest side (16 yd), violating the triangle inequality theorem.

Tags

CCSS.7.G.A.2