Free Printable Relationships Within Triangles

1.

The segment that connects the midpoints of two sides of a triangle is the _________.

a)

midsegment

b)

perpendicular bisector

c)

median

d)

altitude

2.

Segment WY is the mid segment of ΔQRS. Find the value of x.

a)

34

b)

17

c)

68

d)

90

3.

Segment WY is the mid segment of ΔQRS. Find the value of x.

a)

22

b)

11

c)

44

d)

90

4.

Segment WY is the mid segment of ΔQRS. Find the value of x.

a)

12

b)

6

c)

24

d)

90

5.

The figure is an example of a(n) ...

a)

angle bisector

b)

dotted line theorem

c)

altitude

d)

median

6.

If $\overline{AD}$ is the median of triangle ABC. What is the length of $\ \overline{BC}\ if\ BD=15?$

a)

$\frac{15}{2}$

b)

30

c)

15

d)

5

7.

The figures above are examples of ...

a)

altitudes

b)

perpendicular bisectors

c)

medians

d)

angle bisectors

8.

$\overline{BR}\$ is the altitude of triangle ABC. If $\angle BRC=9x$ find the value of x.

a)

90

b)

20

c)

9

d)

10

9.

$\overline{BR}$ is the altitude of triangle ABC. If the slope of $\overline{BR}=3$ , what is the slope of $\overline{AC}$ ?

a)

3

b)

-3

c)

$-\frac{1}{3}$

d)

$\frac{1}{3}$

10.

$AB=5,\ BC=13,\ CA=8$

Can you make a triangle with these side lengths?

a)

Yes

b)

No

11.

Sally is trying to draw a triangle. Her first two sides measure 7 in and 11 in. What length could she use for the third side of her triangle?

a)

20 in

b)

4 in

c)

8 in

d)

19 in

12.

Identify the shortest side measure.

a)

QP

b)

QM

c)

MP

13.

List the angles in order by measure, smallest to largest.

a)

∠B, ∠A, ∠C

b)

∠A∠,B, ∠C

c)

∠A, ∠C, ∠B

14.

List the sides in order from smallest to largest.

a)

$\overline{AB},\ \overline{BC},\ \overline{AC}$

b)

$\overline{AC},\ \overline{AB},\ \overline{BC}$

c)

$\overline{BC},\ \overline{AB},\ \overline{AC}$

Relationships Within Triangles

Total questions: 14

Worksheet time: 42mins

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