Module 13
The lengths of the diagonals of a rhombus are 8m and 4.5m. What is the area of the rhombus? *Hint: A=(1/2)(d1)(d2)
(1/2)(8m)(4.5m)=18 square meters
If you have a point (-2, 1). What is it reflected across the y-axis?
(2, 1)
What is the area of a trapezoid that has a height of 2 and a base of 8 and another base of 12? Hint: A=(1/2)(h)(b1+b2)
A=(1/2)(2 units)(8units+12units)
=1unit(8units+12units)
A=20 square units
What is a shape with 5 sides called?
A pentagon
In a triangle, the base of a triangle is 2.4mm. The height is 1/4 of the base. What is the area of the triangle? Hint: A=(1/2)(b)(h)
(1/2)(2.4mm)(2.4mm)(1/4)=0.72 square millimeters
What is the distance between two points located at (2,2) and (2,-7) on a coordinate plane?
|2|+|-7|=9 units
What is the height of a parallelogram that has an area of 50 and a base of 10? Hint: A=(b)(h)
50 square units = (10 units)(h)
50 square units/10 units = (10units)(h)/(10units)
5 units=h
Logan is designing a logo. The logo is a polygon whose shape is a square attached to an equilateral triangle. The square and the equilateral triangle have side lengths of 2 centimeters, and the equilateral triangle has a height of about 1.5 centimeters. What is the area of the logo? Hint: Area of a triangle = (1/2)(b)(h) Area of a square = (b)(h)
Area of square = (2cm)(2cm) = 4 square centimeters
Area of triangle = (1/2)(2cm)(1.5cm)=1.5 square centimeters
Total Area = 5.5 square centimeters
What is the point of (5,-8) across the y-axis on a coordinate plane?
(-5,-8)
What is the area of a fused rectangle and trapezoid if 1) the rectangle is 6ft by 4ft the 2) the trapezoid shares a base with the long side of the rectangle 3) the trapezoid is 3ft tall, and 4) the trapezoid has a second base of 5ft? Hint: Area of a trapezoid = (1/2) (h) (b1+b2) Area of a rectangle = (l)(w)
Area of a trapezoid = (1/2)(3ft)(5ft+6ft) = 16.5 square feet
Area of a rectangle = (6ft)(4ft) = 24 square feet
Total Area = 40.5 square feet
A trapezoid has an area of 900 cm squared. b1=63 cm and b2=27cm. Find the height of the trapezoid. Hint: A=(1/2)(h)(b1+b2)
900cm2 = (1/2)(h)(63cm+27cm)
900cm2 = (1/2) (h) (90cm)
900cm2 = (1/2) (h) (90cm)
900cm2 = (45cm)(h)
900cm2/45cm = (45cm)(h)/45cm
h=20cm
What is the distance between two points of (-4,3) and (-4,9)?
|9|-|3|=9-3=6 units
What is the base of a triangle that has an area of 14 square units and a height of 7 units? Hint: A=(1/2)(b)(h)
14 square units = (1/2)(b)(7 units)
14 square units = (3.5 units)(b)
14 square units/3.5 units = (3.5 units)(b)/3.5units
4 units = b
What is the area of a triangle that has a base of 35.7 and a height of 17? Hint: A=(1/2)(b)(h)
A=(1/2)(35.7 units)(17 units)
A=303.45 square units
If N is at (-2,1), A is at (2, 1), M is at (-2, -1), and P is at (2,-1). Which point on the coordinate plane is a reflection of point M across the x-axis?
Point N
If N is at (-2,1), A is at (2, 1), M is at (-2, -1), and P is at (2,-1). Which point on the coordinate plane is a reflection of point M across the y-axis?
Point P