Unit 1: Reasoning in Geometry
A statement accepted as true without proof
What is a postulate
Angles that share a vertex and a side but do not overlap
What are adjacent angles
A transformation that flips a figure over a line
What is a reflection
The triangle congruence shortcut that uses three sides
SSS
A quadrilateral with exactly one pair of parallel sides
State the next three terms: 5, 6, 8, 11, 15...
What is 20, 26, 33
If AB = 7 and BC = 5, find AC
What is 12
G(-10, 4) is reflected over the x-axis. What are the coordinates of G'
G'=(-10,-4)
If a triangle has angles 40 degrees and 60 degrees, find the third angle
What is 80 degrees
If SN=5 of a rhombus SNAP, what is AP
What is AP=5
Jenna has noticed that in the past three years, July has had the largest average high temperature in her hometown. She conjectures that July has the highest average high temperatures worldwide. Is this a valid example of inductive reasoning?
No, because she only has data from her hometown, not worldwide
If corresponding angles are equal, what can you conclude about the lines
What is they are parallel
The rule for a 90 counterclockwise rotation about the origin
(x, y) ->(-y,x)
If a=3 and b=4 in a right triangle, what is c
In a parallelogram, one angle is 90 degrees. What is the opposite angle
What is 90 degrees
Angles A and B are linear pairs. What can you know about the measures?
∠A + ∠B = 180
If ∠A = 5x − 12 and ∠B = 3x + 18 are vertical angles, what is the measure of each angle
What is 63
Point (3, -2) after transformation (x,y) -> (x, -y + 4)
What is (3,6)
In isosceles triangle ABC where AB = AC, if ∠B = 50, find ∠C
What is 50
In a rectangle, explain why the diagonals are equal
What is opposite sides are equal, all angles are right angles, and the diagonals form two congruent right triangles
∠A and ∠B are vertical pairs. m∠A = 7x-12 and m∠B = 4x+18 Solve for x
What is x = 10
An exterior angle of parallel lines is 132. What is the opposite interior angle
What is 48
Why do rotations, reflections, and translations create congruent figures
What is they preserve length and angle measures
Given AB ≅ DE, BC ≅ EF, AC ≅ DF, what conjecture proves ΔABC ≅ ΔDEF
What is SSS
In a rhombus, the diagonals intersect at right angles. True or False: Each diagonal bisects the angles of the rhombus
What is True