Unit 1
what is An orthographic drawing
shows three separate views, a top view, a front view, and a right-side vie
what is Inductive reasoning
allows us to reach a conclusion based on the pattern of the given information
what are Alternate Interior Angles
Angles that are non-adjacent interior angles that lie on opposite sides of the transversal
What is the sum of the measures of the interior angles of a regular 18-gon?
2,880o
what is a Proportion
A proportion is an equation that states that two ratios are equivalent.
what is a Plane
A plane has two dimensions. It is represented by a shape that looks like a floor or a wall, but it extends without end.
what is Conjecture
- a conclusion reached by using inductive reasoning. A conjecture is not certain, it only can be likely true
what are Consecutive Interior Angles:
Interior angle’s that lie on the same side of the transversal. Also referred to as ‘same side interior angles’.
What is the measure of an interior angle of regular 24-gon?
165o
what is the scale factor
The scale factor of similar polygons is found using the ratios of their corresponding sides.
Line segment AB has endpoints A(13, 2) and B(7, 10). What are the coordinates of its midpoint? How long is line segment AB?
Midpoint: (10,6)
Length: 10 units
what is Counterexample
an example that indicates that a statement is not true.
True or False Every polygon congruent to itself?
True
what is a Midsegment
A midsegment of a triangle is a segment connecting the midpoints of two sides of a triangle.
Angle-Angle Similarity (AA~)
If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
What is the perimeter of triangle PQR with vertices P(-2, 9), Q(7, -3), and R(-2, -3) in the coordinate plane?
36 units
Use inductive reasoning to find the next two items or terms in each sequence.
4, 8, 16, 32, 64, …
128, 256
• In congruent triangles ∆ABC and ∆XYZ, AC is congruent to what
XZ
what is a medians
of a triangle are concurrent at a point (the CENTROID of the triangle) that is two thirds the distance from each vertex to the midpoint of the opposite side.
Side-Angle-Side (SAS~)
If an angle of one triangle is congruent to an angle of a second triangle, and the sides that include the two angles are proportional, then the triangles are similar.
. If m∠DCF = 90, m∠DCE = 3x + 12, and m∠FCE = 4x + 1, find the value of x
X=11
Use inductive reasoning to find the next two items or terms in each sequence.
0.1, 0.01, 0.001, 0.0001, …
, 0.00001, 0.000001
• In congruent triangles ∆TUV and ∆DEF, ∠U is congruent to what
E
what is a Incenter
The single point where the three angle bisectors of the interior angles of a triangle intersect.
Side-Side-Side (SSS~)
If the corresponding sides of two triangles are proportional, then the triangles are similar.