Scale, Triangles and Angles

Scale and Scale Factor

100

A map shows 1 inch representing 10 miles. What is the scale?

1 inch = 10 miles

200

If a rectangle is scaled by a factor of 2, what happens to its length?

It doubles. 

300

If a scale drawing uses a scale of 1 m:8 cm, and the actual length is 64 cm, what is the length in the drawing?

8 m

400

Rectangle 1 is 10 cm long and Rectangle 2 is 7.5 cm long. 

By what factor is Rectangle 1 reduced to form Triangle 2?

0.75

500

A map uses a scale where 1 inch represents 3 miles. If a park is 2 inches long and 5 inches wide on the map, what is its actual area?

90 mi²

Triangle Sum Theorem

100

The sum of the interior angles of any triangle is always this many degrees.

180^o

200

If one angle in a triangle is 90^o and another is 60^o, what is the measure of the third angle?

30^o

300

If a triangle has angles r, 70^o, and 60^o, what is the value of r? 

50^o

400

A triangle has angles measuring f, f and f. What is the value of f? 

60^o

500

If a triangle has angles n, 2n +10, 20, what is the value of n?

50^o

Triangle Inequality Theorem

100

The triangle inequality theorem says the sum of any two sides of a triangle must be _________ _____ the third side.

Greater than. 

200

Do the below three lengths make a triangle?

9 cm, 5 cm, 13 cm

Yes

300

Do the below three lengths make a triangle?

10 cm, 16 cm, 5 cm

No

400

If two sides of a triangle are 4 and 5, the third side must be less than what number?

9

500

If the sides of a triangle are 6, 8, and p, what is the range of possible values for p?

2 < p > 14

Supplementary and Complementary Angles

100

Two angles add up to 180^o. What are these angles called?

Supplementary Angles

200

If one angle is 30^o, what is the measure of its complement?

60^o

300

Angle P and angle Q are supplementary. If angle P is 124^o, what is angle Q?

56^o

400

If angle K is (c -20)^o and its complement is 30^o, what is the value of c? 

80^o

500

If angle T is x^o and its supplement is (x + 20)^o, what is the value of x? 

80⁰

Angle Pair Relationships

100

Two angles that share a common side and have the same vertex are ________ angles.

Adjacent

200

Two angles that are opposite angles that are formed by two intersecting lines and have the same measure are _________ angles.

Vertical

300

Angle D and angle R are vertical angles. If angle D is 40^o, what is the measure of angle R? 

40^o

400

If two intersecting lines form angles of 30^o and (x + 10)^o that are vertical angles, what is the value of x?

20^o

500

If two intersecting lines form angles of 88^o and (4x - 12)^o that are vertical angles, what is the value of x?

25