Chapter 4 Geometry
In the pictured triangle, which of the following lines is an altitude?
AE - Median, Altitude, and Angle Bisectors of a Triangle
Which statement is true about the pictured triangle?
AE=EC - Constructing the Median of a Triangle
In the pictured triangle, what is a median?
AF - Constructing the Median of a Triangle
Which statement is true regarding areas based on the pictured triangle? Point G is the centroid.
AFB=CFA - Constructing the Median of a Triangle
What type of triangle is pictured?
Acute and isosceles - Classifying Triangles by Angles and Sides
What type of triangle is pictured?
Acute and scalene - Classifying Triangles by Angles and Sides
Mary claims that the triangles below are similar by AA. Do you agree or disagree with Mary?
Agree, because there are two pairs of congruent angles. - How to Identify Similar Triangles
What type of line segment is represented by the vertical dotted line in the pictured triangle?
Altitude - Median, Altitude, and Angle Bisectors of a Triangle
What type of line segment is represented by the dotted line in the pictured triangle?
Angle bisector - Median, Altitude, and Angle Bisectors of a Triangle
What is another word for the highest point on a triangle?
Apex - Triangles: Definition and Properties
What pictured shape do we draw to identify the measured length of a triangle's side?
Arc- Constructing Triangles: Types of Geometric Construction
Which statement is true regarding areas based on the pictured triangle? Point G is the centroid.
BDG=CGE - Constructing the Median of a Triangle
What is the name for the point where three median lines meet?
Centroid - Properties of Concurrent Lines in a Triangle
What is the name for the point where three perpendicular bisectors meet?
Circumcenter - Properties of Concurrent Lines in a Triangle
When constructing triangles, what tool do we use to measure the length of a side?
Compass- Constructing Triangles: Types of Geometric Construction
What is it called when multiple lines meet at a single point?
Concurrence - Properties of Concurrent Lines in a Triangle
If a cookie sheet holds 6 cookies along one side and 4 cookies along the other, how many cookies can it hold in total?
24 cookies - Area of Triangles and Rectangles
Triangle POX has a perimeter of 15 inches. Side PO is 2 less than x, an unknown number. Side OX is 2 greater than x, and side PX can be expressed as 2x - 5. Find the length of each side of triangle POX (in the order PO, OX, PX).
3 inches, 7 inches, and 5 inches. - Perimeter of Triangles and Rectangles
If angle a is 60 degrees, what is the measure of angle b?
30 degrees - Interior and Exterior Angles of Triangles: Definition & Examples
Sergeant Ketchup's billiards room is 15 feet wide and 25 feet long. How many square feet is the room in total?
375 square feet - Area of Triangles and Rectangles
If angle a is 30 degrees and angle d is 70 degrees, what is the measure of angle b?
40 degrees - Interior and Exterior Angles of Triangles: Definition & Examples
Nicole wants to frame a photograph of her daughter. If the photograph has a height of 12 inches and a width of 9 inches, calculate the perimeter of the frame needed to frame the entire photograph?
42 inches - Perimeter of Triangles and Rectangles
Rectangle HYGT has a perimeter of 170 inches. If the length is 10x - 7 and the width is 6x + 12, how wide is the rectangle?
42 inches - Perimeter of Triangles and Rectangles
In triangle GBN, Angle G is seven more than three times a number, Angle B is five more than four times the number, and Angle N is twelve less than five times the number. Solve for the measure of Angle G.
52 degrees- Angles and Triangles: Practice Problems
What is the area of the pictured rectangle?
70 - Area of Triangles and Rectangles
If angle a is 68 degrees and angle b is 37 degrees, what is the measure of angle c?
75 degrees - Interior and Exterior Angles of Triangles: Definition & Examples
In the figure below, Angle 7 = 15x and Angle 10 = 9x + 30. Determine the measure of Angle 10.
75 degrees - Angles and Triangles: Practice Problems
What is the area of ABCDE, as shown in the diagram?
76 square units - Area of Triangles and Rectangles
Given the triangle ABC, solve for the value of y.
8- Angles and Triangles: Practice Problems
What type of line segment is represented by the dotted line in the pictured triangle?
Median - Median, Altitude, and Angle Bisectors of a Triangle
In the pictured triangle, identify the altitude(s).
NOT AC,AB - Median, Altitude, and Angle Bisectors of a Triangle
Identify x and y in the pictured triangle.
NOT x is the vertex and y is the opposite side - Triangles: Definition and Properties
Is triangle ABC similar to triangle DEF?
No, because we don't know if the included angles are congruent. - How to Identify Similar Triangles
All of the following are enough to construct a triangle EXCEPT:
One angle - Constructing Triangles: Types of Geometric Construction
What must you be given to construct an equilateral triangle?
One side - Constructing Triangles: Types of Geometric Construction
Joan is building a fence for her triangular garden. One side of the garden is 8 feet long, the second side is 10 feet long, and the third side is 12 feet long. If fencing costs $10 per foot, how much will Joan spend on fencing for her garden?
$300 - Perimeter of Triangles and Rectangles
What type of triangle is pictured?
Obtuse and scalene - Classifying Triangles by Angles and Sides
How do you find the area of a triangle?
1/2 * base * height - Area of Triangles and Rectangles
What is the area of the pictured triangle?
1/2*4*6=12 - Area of Triangles and Rectangles
If angle a is 66 degrees and angle b is 54 degrees, what is the measure of angle d?
120 degrees - Interior and Exterior Angles of Triangles: Definition & Examples
If angle a is 80 degrees, what is the measure of angle d?
130 degrees - Interior and Exterior Angles of Triangles: Definition & Examples
In the figure below, Angle 13 = 10y and Angle 11 = 3y + 11. Determine the measure of Angle 16.
130 degrees - Angles and Triangles: Practice Problems
Jeremy's goal is to jog around the neighborhood park four times. If the park has four sides and each side is 100 meters, how many meters will Jeremy jog?
1600 meters - Perimeter of Triangles and Rectangles
Given the triangle PQE, calculate the measure of Angle Q.
18 degrees - Angles and Triangles: Practice Problems
Josh claims that these triangles are similar by SSS. Do you agree or disagree with Josh?
Disagree, because all of the ratios for the corresponding sides are not equal. - How to Identify Similar Triangles
What type of triangle is pictured?
Equilateral and acute - Classifying Triangles by Angles and Sides
In the pictured triangle, what is the centroid?
G - Constructing the Median of a Triangle
What is the name for the point where three angle bisectors meet?
Incenter - Properties of Concurrent Lines in a Triangle
What is the name for the point where three altitude lines meet?
Orthocenter - Properties of Concurrent Lines in a Triangle
What type of triangle is pictured?
Right and scalene - Classifying Triangles by Angles and Sides
In the pictured triangle, what is side A, relative to angle x?
The adjacent side - Triangles: Definition and Properties
In the pictured triangle, what is side B, relative to angle x?
The opposite side - Triangles: Definition and Properties
Determine if triangle VEZ is similar to triangle MAG.
Yes, by AA - How to Identify Similar Triangles
Conclude whether triangle BEN is similar to triangle MAT.
Yes, by SSS - How to Identify Similar Triangles
When constructing a triangle from two angles and a side, the two angles:
cannot add up to 180 degrees or more - Constructing Triangles: Types of Geometric Construction
A triangle always has:
three sides and three angles - Triangles: Definition and Properties
