Reasons used in Proofs
Define a perpendicular bisector
What is a segment that splits a segment into two congruent segments and forms 2 congruent right angles.
A parallelogram must be a rhombus if its diagonals are __________.
What is perpendicular
What are the three trig ratios and what sides are used to make a ratio for each of them?
What is Sin O/H , Cos A/H, and Tan O/A
Line segment NY has endpoints N(-11,5) and Y(5,-7). What is the midpoint of this segment?
What is (-3,-1)
What is the minimum rotation about its center that will carry a regular decagon onto itself?
What is 36 degrees
What does CPCTC stand for?
What is Corresponding Parts of Congruent Triangles are Congruent.
What are the defining characteristics of a rhombus
What is all sides are equal, diagonals are perpendicular to each other, and diagonals bisect the angles at which they are drawn.
In right triangle ABC, m∠A = 32°, m∠B = 90°, and AC 6.2 cm. What is the length of BC , to the nearest tenth of a centimeter?
What is 3.3
Point Q is on MN such that MQ:QN = 2:3. If M has coordinates (3,5) and N has coordinates (8, -5), the coordinates of Q are
What is (5, 1)
Given a cone with a diameter of 6 inches and a height of 8 inches, what is the volume of the cone to the nearest tenth (don't forget your units!)?
What is 75.4 in3.
What are the ways to prove triangles congruent and the ways to prove triangles similar?
What is SSS, SAS, ASA, SAA, HL (right triangles only)
AA, SSS, SAS
In square ABCD, the measure, in inches, of side AB is 3x + 2 and side BC is x + 12. Find the length of side DC.
What is 17.
In a right triangle, the hypotenuse has a length of 13, and a leg has a length of 5. What is the length of the other leg?
What is 12.
What is the slope of a line that is perpendicular to the line whose equation is 4x - 6y =15?
What is -3/2
Given a figure with coordinates A(0,3), B(-4,8), and C(-2,0), what would be the coordinates of a similar figure A'B'C' that was the result of a dilation of scale factor of 3?
What is A'(0,9), B'(-12,24), and C'(-6,0).
Define an altitude
What is a line segment through a vertex and perpendicular to a line containing the base
Rhombus ABCD has coordinates A(0,7) and C(2,l). What is the slope of diagonal BD?
What is 1/3
A 26 foot ladder is placed 10 feet away from the foot of a wall. Determine how far up the wall the ladder will reach.
What is 24 feet.
In the coordinate plane, the vertices of triangle PAT are P(1,6), A(4,5), and T(5,2). How would you prove that PAT is an isosceles triangle?
What is, show that two of the sides of PAT are the same distance using the distance formula.
In triangle ABC, AB is congruent to BC, and m<A=43. Determine the m<B.
What is m<B=94.
What is the Reflexive Property?
What is the property that simply states that a value is equal to itself in a proof.
The vertices of square RSTV have coordinates R(-1,5), S(-3,1), T(-7,3), and V(-5,7). What is the perimeter of RSTV?
What is 4 sqrt 20
In right triangle RST with <S=90, altitude SU is drawn to RT at U. UT = 12, and RT = 42, Determine the length of SU, in simplest radical form
What is 6sqrt10
What is the slope formula, midpoint formula, and distance formula?
What is
Given two vertical angles, <ABC and < DBE with the measures of (5x – 20) and (x+12), determine the m<DBE.
What is 20