Congruence
Conditional Statements
Rhombuses
Squares/Rectangles
Inductive/Deductive Reasoning
100
(IMAGE K) If Angle A is congruent to Angle C, and Angle ABD is congruent to angle CBD, what theorem is used to prove the two triangles are congruent?
Angle-Angle-Side
100
Write the converse of the following statement: If you are a police officer, you eat donuts.
If you eat donuts, you are a police officer.
100
The sides of a rhombus are _____
equal!
100
The sum of the interior angles of a rectangle are ____
360 degeee
100
What type of reasoning involves observing...then making a conjecture?
Inductive reasoning
200
If triangle XYZ is congruent to triangle ABC, and angle Y is w+3 degrees and angle B is 2w-6, find w.
w=9
200
Write the inverse of the following statement: If you can do math in your head, then you are a calculator.
If you cannot do math in your head, then you are not a calculator.
200
What kind of triangles are formed when the diagonals are crossed in a rhombus?
right triangles
200
If the diagonals are perpendicular and the corner angles are 90 degrees it must be a _________
square
200
All cats like meow mix. Noel is a cat. Noel likes meow mix. What kind of reasoning is this?
Deductive reasoning. General statement to a specific statement.
300
Triangle ABC is congruent to triangle DEF, angle A is congruent to which angle?
Angle D
300
Write the contrapositive of the following statement: If you like football, then you like the Dallas Cowboys.
If you do not like the Dallas Cowboys, then you do not like football.
300
(Image Q) What is the measure of angle EBC if angle ECB is 20 degrees?
70 degrees
300
If the quadrilateral is a rectangle then the corner angles are bisected...true or false.
false...only a square and rhombus have bisected corner angles
300
If x + 10 = 15, then x = 5. Identify the hypothesis.
If x + 10 = 15
400
(IMAGE K) If angle ABD is congruent to angle CDB, and angle ADB is congruent to angle DBC, what theorem is used to prove the two triangles are congruent?
Side-Angle-Side
400
Write the converse of the following statement: If x+3 = 10, then x =7.
If x=7, then x+3=10
400
(Image Q) If angle ADC = 110, what is the measure of angle ABD?
55 degrees
400
(Image R) If AC = 2x +10 and DB = 5x - 2 of rectangle ABCD, what is the length of the diagonals?
13
400
Kathy sat by the road counting how many cars were red. She concluded that not many people buy red cars. What kind of reasoning did she use?
Inductive reasoning. May not be true because it is based upon observations...finding a pattern.
500
(IMAGE K) If side AB is congruent to side BC, and angle ADB is congruent to angle CDB, what theorem is used to prove the two triangles are congruent?
Not possible.
500
If you are a good student, then you always do your homework. If you do not always do your homework, then you are not a good student. What kind of conditional statement is this?
Contrapositive
500
What is the most precise name for a parallelogram that has equal sides and congruent diagonals?
square
500
(Image R) If angle ADB = x+3 and angle BDC = 5x - 9, what is the value of x?
16
500
David is going to win the state track finals this year if he goes out for track. What is the hypothesis of this conditional statement?
If he goes out for track.
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