Vocabulary
Postulates/Theorems
Mix
Speed Math
X=
100
A polygon with three sides.
What is a Triangle?
100
If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent.
What is Side-Side-Side Congruence Postulate (SSS)?
100
Uses arrows to show the flow of a logical argument.
What is Flow Proof?
100
In triangle ABC, angle A=70 degrees and angle B=35 degrees, what does angle C equal?
Angle C=75 degrees.
100
Triangle ABC is congruent to triangle DEF. Segment AB=20, and segment DE=6x-4. Find the value of x.
X=4
200
A Rigid Motion that moves every point of a figure the same distance in the same direction.
What is a Translation?
200
The sum of the measures of the interior angles of a triangle is 180 degrees.
What is Theorem 4.1- Triangle Sum Theorem?
200
In segment BC, B's coordinates are (2,5) and C's coordinates are (7,3). Find the length of segment BC, round to the nearest 100th if necessary.
Length=5.39
200
Of triangles ABC and DEF, segment AB is congruent to segment DE, segment AC is congruent to segment DF, and angle A is congruent to angle D. Are the triangles congruent and if so by what property/theorem?
Yes, by SAS Congruence Postulate.
200
Triangle ABC is equiangular, angle B=7x-24. Find the value of x.
X=12
300
A transformation that preserves length, angle, measure, and area.
What is a Rigid Motion?
300
If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent.
What is Angle-Side-Angle Congruence Postulate (ASA)?
300
If a triangle is equilateral, then it is equiangular.
What is Corollary to the Base Angles Theorem?
300
State the third congruent that is needed to prove triangle DEF is congruent to triangle GHJ using AAS Congruence Theorem. (1)Segment DE is congruent to segment GH. (2)Angle D is congruent to angle G.
(3)Angle F is congruent to angle J.
300
In isosceles triangle ABC, segment AB and segment BC are the legs, the length of segment AB is 3x+15 and the length of segment BC is 5x-7. Find the value of x.
X=11
400
The angle formed by the legs of an isosceles triangle.
What is a Vertex Angle?
400
If two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent.
What is Theorem 4.3- Third Angles Theorem?
400
In rectangle RILY, angle R=4x+2y, and angle I=5x+35. Find the value of x and y.
X=11 Y=23
400
For triangle BEN, angle B=44 degrees, angle E=92 degrees, and angle N=44 degrees. (1) Classify the triangle by its angles. (2) Is there enough information to classify the triangle by its sides? If so, give its classification by sides.
(1) Obtuse. (2) Yes, Isosceles.
400
In triangle right triangle RLY, R is a right angle, L=25, and Y=5x-200. Find the value of x.
X=63
500
(1) The original angles on the inside of the triangle after the sides of polygon are extended, forming other angles. (2) Angles that form linear pairs with the interior angles.
(1) What is Interior Angles? (2) What is Exterior Angles?
500
All of these are categories under one Theorem, give the Theorem and the name of the Categories. (1) For any triangle ABC, triangle ABC is congruent to triangle ABC. (2) If triangle ABC is congruent to triangle DEF, then triangle DEF is congruent to triangle ABC. (3) If triangle ABC is congruent to triangle DEF and triangle DEF is congruent to triangle JKL, then triangle ABC is congruent to triangle JKL.
What is Theorem 4.4- Properties of Congruent Triangles? (1) What is Reflexive Property of Congruent Triangles? (2) What is Symmetric Property of Congruent Triangles? (3) What is Transitive Property of Congruent Triangles?
500
Inside triangle JKL, the is two triangles, triangle JKM, and triangle JLM, that share the segment JM. Its is given that JK is congruent to JL, and point M is the midpoint of segment KL. Prove that triangle JKM is congruent to triangle JLM.
(1)Segment JK is congruent Given to segment JL (2)Segment LM is congruent Def. of Midpoint to segment KM (3)Segment JM is congruent Refl. Prop. of Segm. Congr. to segment JM (4)Triangle JKM is congruent SSS Congruence Theorem to triangle JLM
500
The coordinates for triangle ABC are A(1,2), B(5,2), and C(1,7). After a rotation (about the origin), the new triangle, triangle DEF, has the coordinates D(-1,-2), E(-5,-2), and F(-1,-7). Find the angle of rotation for the triangle.
The angle of rotation is 180 degrees.
500
Triangle BEN is isosceles, with angles E and N being the base angles. Angle B=50 degrees, and angle E=6x+11. Find the value of x.
X=9
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