Question

name ____ date __ class __lesson 1-5 practice ausing formulas in geometrycomplete the statements.1. the sum of the __ of a plane figure is called the perimeter.2. give the formula for the perimeter of a rectangle. __3. the __ of a plane figure is the number of nonoverlapping square units of a given size that exactly cover the figure.4. the formula for the area of a triangle is __use the figure for exercises 5 and 6.5. find the perimeter of the rectangle. __6. find the area of the rectangle. __use the figure for exercises 7 and 8.7. find the perimeter of the triangle. __8. find the area of the triangle. __complete the statements.9. in a circle, a __ is a segment that passes through the center of the circle and that has endpoints on the circle.10. a radius of a circle is a segment whose endpoints are the __ of the circle and a point on the circle.11. the diameter of a circle is __ the radius.draw your answer in the space provided.12. sketch a circle and label the center, a diameter, and a radius.13. give the formula for the area of a circle. __14. the circumference of a circle is the distance __ the circle.15. give the formula for the circumference of a circle. ____copyright © by holt, rinehart and winston.all rights reserved.35holt geometr

Explanation:

Step1: Define perimeter (statement 1)

Perimeter = sum of side lengths.

Step2: Rectangle perimeter formula (statement2)

$P = 2(l + w)$ or $P=2l+2w$

Step3: Define area (statement3)

Area = covering square units count.

Step4: Triangle area formula (statement4)

$A = \frac{1}{2}bh$

Step5: Calculate rectangle perimeter (Q5)

Rectangle: $l=9$ yd, $w=6$ yd.
$P=2(9+6)=30$ yd

Step6: Calculate rectangle area (Q6)

$A=9\times6=54$ yd²

Step7: Calculate triangle perimeter (Q7)

Triangle sides: 6 cm, 8 cm, 10 cm.
$P=6+8+10=24$ cm

Step8: Calculate triangle area (Q8)

Triangle: $b=8$ cm, $h=6$ cm.
$A=\frac{1}{2}\times8\times6=24$ cm²

Step9: Define circle diameter (statement9)

Diameter = through-center segment.

Step10: Define circle radius (statement10)

Radius endpoints: center + circle point.

Step11: Diameter-radius relation (statement11)

Diameter = 2 × radius.

Step12: Circle formula (statement13)

Area of circle: $A=\pi r^2$

Step13: Define circumference (statement14)

Circumference = distance around circle.

Step14: Circumference formula (statement15)

$C=2\pi r$ or $C=\pi d$

Answer:

1. lengths of the sides
2. $P=2l+2w$ (or $P=2(l+w)$)
3. area
4. $A=\frac{1}{2}bh$
5. 30 yd
6. 54 yd²
7. 24 cm
8. 24 cm²
9. diameter
10. center
11. twice (or two times)
12. (Sketch: A circle with a labeled center point, a line segment through the center with endpoints on the circle labeled "diameter", and a line segment from the center to a point on the circle labeled "radius")
13. $A=\pi r^2$
14. around
15. $C=2\pi r$ (or $C=\pi d$)