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
Which pair of angles are congruent?
Answers: angles 6 and 8 and angles 5 and 7
100
The sum of the angles in a triangle equal what?
180°
100
Find the scale factor of the drawing to the painting.
Drawing: 8
Painting: 64
Scale factor:
1/8
100
A plane passes through a geometric solid as shown.
What shape is created by this cross section?
Triangle
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
A triangle with one 90° angle is known by what name?
Right triangle
200
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
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
Given the figure below, find the values of x, y, and z.
x = 104°
y = 76°
z = 104°
300
What is the value of x in the triangle?
x = 130°
300
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
300
What shape would a horizontal and vertical cross section of a cylinder result in?
Horizontal: circle
Vertical: rectangle
400
What is a cross section?
The shape that results when you cut a 3D figure in half.
400
What is the value of x in the figure?
x = 5
400
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.
400
A scale drawing for a plot of land is shown below.
In the drawing, 3cm represents 5m. Assuming the backyard is rectangular, find the area of the real backyard.
150 m2
400
How many faces does a triangular pyramid have?
4
500
What is a scale factor?
a ratio of the drawing or model to the actual object in simplest form.
500
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°
500
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°
500
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) 45 feet
500
How many edges does a rectangular prism have?
12