Corresponding and Equivalent Figures
Two figures are equivalent if they are:
a. have the same angle measurements
b. are the same shape
c. have different measurements
d. both a and b
e. both b and c
d
Find the Unit Rate:
80 miles/4 hours
20 miles/1 hour or 20 miles per hour
A scale factor of 2 is a:
a. reduction
b. enlargement
c. compound
d. original shape
b
Simplify the ratio in simplest form:
16/32
2:1
When you enlarge or reduce a figure, what features change? List at least two changes.
side lengths, perimeter, area
Find the unit rate:
$12.96/3 sandwiches
$4.32/1 sandwich or $4.32 per sandwich
Fill in theblank using greater than or less than signs:
Scale Factor ____ 1=enlargement of original image
Scale factor ____1 =reduction of original image
>
<
Simplify these two ratios in all three forms:
28/14
and
13 to 20
2/1, 2 to 1 and 2:1
13/20. 13 to 20 and 13:20
Triangle ABC has side length measurements of 48 in, 62 in, 70 in respectively. What will be the side length measurement of side length E in the equivalent triangle DEF?
62.
Tom buys some apples at a local fruit stand. The fruit stand charges $3.00 for every 2 pounds. Find the price Tom pays for 12 pounds of apples.
$3.00/2 lbs =?/12 lbs
=$18.00
A map has a scale of 1 inch:8 miles. Use the given map distance on the map to find the actual distance.
a. 4 in
b. 7 in
a. 32 miles
b. 56 miles
Yolando planted 4 tulips for every 9 daffodils. Write the ratio of daffodils to total flowers planted as a fraction in simplest form.
9/13
Do the side lengths on these two figures correspond? Mrs. Mellenthin will draw two figures.
No, the scale factor is not the same causing the angle measurements to change.
Santiago sold 14 tamales for $25.20, If he charges the same cost per tamale, how much will a customer pay for 20 tamales?
divide by 14
=$36.00
Draw figure M
It has side lengths of 30, 24 and 18.
Draw figure G
it has side lengths of 10, 8, 6
What scale factor would be applied to figure M to produce figure G?
Scale Factor of 1/3
A bakery sells six cookies for every one cake. Yesterday the store sold 154 cookies and cakes combined. How many cakes were sold?
22 cakes
Write three rates equivalent to 372 miles/6 hours
62/1, 186/3, 124/2
various answers apply
A model train has a scale factor of 1/87.
a. The model of an engine is 3 inches long. How long is the actual engine in inches?
b. How long is the actual engine in feet?
(12 inches= 1 foot)
a. 261 inches
b. 21 and 3/4 feet or 21.75 feet
Open your textbook to page 6. Find question #20. Answer the question.
Table A. The ratios all simplify to 4:7