Triangles
A triangle has angles measuring 45°, 45°, and 90° and two congruent sides. How can you classify the triangle?
isosceles right triangle
Which quadrilateral has exactly one pair of parallel sides?
trapezoid
Sachi’s mother wants to build a fence around a rectangular-shaped vegetable garden. The garden is 13 feet long and 6 feet wide. What is the perimeter of her garden?
P = 2 x L + 2 x W
P = 2 x 13 f + 2 x 6 f
P = 26 f + 12 f
P = 38 f
Eric has a shoebox. The length is 6 inches, the width is 12 inches and the height is 4 inches. What is the volume of the shoebox?
V = L x W x H
V = 6 in x 12 in x 4 in
V = 288 cu in
A regular octagon has total perimeter of 24 inches. What is the length of one side of the octagon?
3 inches
What attribute defines an obtuse triangle?
One angle must be greater than 90 degrees.
True or False
All rectangles are regular polygons.
False
What is the area of a square game board with a 12 inch side?
A = L x W
A = 12 in x 12 in
A = 144 sq in
August is freezing ice cubes for his science project. one side of the cube is 18 mm. What is the volume if each ice cube?
V = L x W x H
V = 18 mm x 18 mm x 18 mm
V = 5,832 cu mm
Vihaan drew a quadrilateral. He says at least one of the angles is acute. What are the possible polygons Vihaan could have drawn?
Vihaan's quadrilateral could be a parallelogram, trapezoid, kite or rhombus.
Sushil has triangle ABC. He folds side AB to side BC and they match evenly. He folds side BC to side CA and they match evenly. He folds side CA to side AB and they match evenly. Which describes Sushil’s triangle?
The triangle is equilateral, acute and isosceles.
What is true about a parallelogram that has 4 right angles?
It is a square.
It is a trapezoid.
It is a rectangle.
It is a rhombus.
It is a rectangle.
Delia wants to put a trim molding around the base of her room. The room is 3.5 m long and 4 m wide. How much trim will Delia need to buy?
P = 2 x L + 2 x W
P = 2 x 3.5 m + 2 x 4 m
P = 7 m + 8 m
P = 15 m
Vaibhav is building a wooden box. The box is 4 feet long and 3 feet wide. He wants the volume of the box to be 60 cubic feet. To what height should Vaibhav build the box?
V = L x W x H
60 cu ft = 4 ft x 3 ft x H
60 cu ft = 12 sq ft x H
H = 5 ft
Veronica folded an equilateral triangle in half and cut along the fold to make two congruent figures. What figures did she make?
two scalene right triangles
What is the measure, in degrees, of the largest angle in a right triangle?
90 degrees
How can you classify the sides and angles of a square?
4 congruent angles and 4 congruent sides
Risha wants to sew lace trim around the edges of a rectangular pillow that measures 12 in by 6 in. What length of lace does Risha need to buy?
P = 2 x L + 2 x W
P = 2 x 12 in + 2 x 6 in
P = 24 in + 12 in
P = 36 in
Atharv has a display case with a base of 2.3 sq ft. The height of the case is 1.7 ft. What is the volume of the case?
V = Bh
V = 2.3 sq ft x 1.7 ft
V = 3.91 cu ft
Selvi has a rectangular bulletin board that is 3 feet long and 4 feet wide. She wants to cover the board with felt and add a satin ribbon around the border of the bulletin board. How much felt and ribbon does Selvi need?
Selvi needs 12 sq ft of felt and 24 feet of ribbon.
Which kind of triangle does not have any congruent sides?
Scalene triangle
True or False
A rhombus is always a square.
False
A jeweler has a display counter that is 7 feet long and 4 feet wide. If she uses square tiles, each with a side length of 1 foot, how many square tiles will she need to cover the counter?
A = L x W
A = 7 ft x 4 ft
A = 28 sq ft
Zola uses centimeter cubes to build a rectangular prism. The volume of her prism is 288 cu cm. The base of her prism is 32 sq cm. Wha is the height of her prism?
V = Bh
288 cu cm = 32 sq cm x H
H = 8 cm
Devon has a box with a base layer of 51 square inches filled with 1 inch by 1 inch cubes. If Devon stacks 8 layers of cubes in the box, what is the volume of the box?
V = Bh
V = 51 sq in x 8 in
V = 408 cu in