Vocabulary
Angle Relationships
Triangles
Scale Drawings
Cross Sections
100
What is an acute angle?
An angle that measures greater than 0 degrees but less than 90 degrees.
100
What is the value of x in the figure?
x = 5
100
The sum of the angles in a triangle equal what?
180°
100
A scale drawing for a backyard is given.
In the drawing, 2cm represents 3m.
Assuming the patio is rectangular, find the area of the real patio with dimensions on the drawing as 4 cm x 2 cm.
Area = 18 m2
100
How many faces does a triangular pyramid have?
4
200
What is an adjacent angle?
A pair of angles that share a common endpoint and one side but do not overlap.
200
What is the value of x in the figure?
x = 24
200
What is the value of x in the triangle?
x = 130°
200
Find the scale factor of the drawing to the painting.
Drawing: 8
Painting: 64
Scale factor:
1/8
200
What shape would a horizontal cross section of cube result in?
square
300
True or false? A triangle can be both equilateral and isosceles.
True. An equilateral triangle is a special kind of isosceles triangle.
300
Which pair of angles are congruent?
Answers: angles 6 and 8 and angles 5 and 7
300
A triangle with one 90° angle is known by what name?
Right triangle
300
On a map, the scale is 1 inch = 125 miles. What is the actual distance between the two cities if the map distance is 2.75 inches?
343.75 miles
300
What is another name for a horizontal cut on a 3D figure?
cut parallel to the base
400
What is a scale factor?
a ratio of the drawing or model to the actual object in simplest form.
400
Angle 1 and angle 2 are supplementary. If m∠1 = 2x + 50°, and m∠2 = 3x°, what are the measurements of the angles?
m∠1 = 102°
m∠2 = 78°
400
In a triangle, suppose that m∠H = (3x - 5)°, m∠I = (4x + 1)°, and m∠J = x°. Find the degree measurement for each angle.
m∠H = 64°
m∠I = 93°
m∠J = 23°
400
In a scale model of a boat, 1 inch represents 5 feet. Answer the following:
a) The height of the real boat is 15 feet. What is the height of the boat in the scale model?
b) In the scale model, the length of the boat is 9 inches. What is the length of the real boat?
a) 3 inches
b) 135 feet
400
How many edges does a rectangular prism have?
12
500
What is a cross section?
The shape that results when you cut a 3D figure in half.
500
Given the figure below, find the values of x, y, and z.
x = 104°
y = 76°
z = 104°
500
The measurements of the lengths of the sides in a figure are 14 ft, 20 ft, 16 ft. Do these measurements form a triangle? Explain why or why not.
Yes they do because 14 + 16 is 30 which is longer than the longest side of 20.
500
A square was made with the scale 1 unit = 4 feet. It's measurements are 8 units by 8 units. What would the measurements of a new square be with a new scale of 1 unit = 8 feet.
4 units by 4 units
500
What shape would a horizontal and vertical cross section of a cylinder result in?
Horizontal: circle
Vertical: rectangle