Unit Six: Quiz: Ratios, Properties, and Proportions

Two supplementary angles are in the ratio of 1 to 3. The measure of the larger angle is 60 67.5 120 135

135

Find x in this proportion. 5/2x = 25/4 = ___ 2/5 5/2 4/5 8/5

2/5

The sides of a triangle are in the ratio of 2:3:4. If the measure of the shortest side of the triangle is 12 centimeters, what is the length of the longest side? 16 cm 18 cm 24 cm 36 cm

24 cm

Find x in this proportion. x/3 = x+2/5 x = -1 1 2 3

3

The sides of a triangle are in the ratio of 1 : 2 : 2 and the perimeter of the triangle is 15 feet. The length of the shortest side is 2.5 feet 3 feet 5 feet 7.5 feet

3 feet

UW||RS TU = 3, RS = 15, TW = 4, TR = 9; Assume that the sides of triangle TUW are proportional to the sides of triangle TRS. What is the length of UW? 3 4 5 7.5

5

Find x in this proportion. 16/x = x/4 16/x = x/4 64 32 16 8

8

TU = 3, RS = 15, TW = 4, TR = 9; Assume that the sides of triangle TUW are proportional to the sides of triangle TRS. What is the length of WS? 8 12 15 24

8

The altitude to the hypotenuse of a right triangle is the geometric mean between the segments on the hypotenuse. always sometimes never

Always

The ratio of 3 to 4 and the ratio of 4 to 3 ___ the same number. (are or are not)

Are not

True/False - If a/b = p/q, then (a + b)/b = (p + b)/q.

False

True/False - The ratio of 3 to 4 is written as 4/3.

False

True/False - The ratio of BC to AC is 4/3.

False

A ratio is a comparison of two numbers by addition. always sometimes never

Never

In a 30-60-90 triangle the long leg is half the hypotenuse. always sometimes never

Never

The first and fourth terms of a proportion are called the means. always sometimes never

Never

If two angles of one polygon are equal to two angles of a second polygon, then the two polygons are similar. always sometimes never

Sometimes

Two ratios are equal to each other. always sometimes never

Sometimes

True/False - A cross product is an equation which states that two ratios are equal.

True

True/False - A ratio compares two numbers by division.

True

True/False - In the proportion 5/6 = 10/12, the means are 6 and 10.

True

True/False - In writing the ratio of measurement numbers, the units must be the same.

True

True/False - The ratio of 6 inches to 3 feet expressed in simplest form is 1/6.

True

True/False - The ratio of AB to BC is 1/3.

True

If (x + 2)/2 = y /5, then which of the following must be true? x /2 = (y - 2)/5 x /2 = (y - 5)/5 (x + 2)/5 = y /25

x /2 = (y - 5)/5

All of the following are equivalent to 3 : 8 = x : 32 except 8 : 3 = 32 : x 3 : x = 8 : 32 x : 8 = 3 : 32 8 : 32 = 3 : x

x : 8 = 3 : 32