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Geometry

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Gussie Gutkowski

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Cards in this guide (27)
Common Segments Theorem

if segment ab is congruent to segment CD then segment ac is congruent to segment bd (only if points a, b, c, and d are all collinear)

In a scalene triangle the longest side is opposite the angle with the largest measure

true

If a point is equidistant from the endpoints of a segment then it is on

on the perpendicular bisector of the segment.

Find the value of X

27

The HA theorem is a special case of the postulate

AAS

What is tan 45

tan 45 = 1

The LL theorem is a special case of the SSS or the

SAS postulate or SSS postulate.

If a point is on the bisector of an angle then it is

Equidistant from the two sides of an angle.

Which property is illustrated by the following statement if ABC is congruent to def and def to xyz then ABC is congruent to xyz

Transitive

What are the 2 triangle congruence theorems

The two triangle congruence theorems are the AAS(Angle-Angle-Side) and HL(Hypotenuse-Leg) congruence theorems. The AAS congruence theorem states that if two angles and a nonincluded side in one triangle are congruent to two angles and a nonincluded side in another triangle, the two triangles are congruent. In the HL congruence theorem, if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, the two triangles are congruent.

FGH is a right triangle

NO

Is it true that a theorem is a statement that can be easily proved using a corollary

false

if stu is similar to xyz the sides of stu must be congruent to the coorresponding side of xyz

No, that's not true.

What angle is the ratio of the opposite leg length to the adjacent leg length

Its Tangent, APEX

"The tangent of an angle is the ratio of the opposite leg length to the adjacent leg length."

Which expression gives the length of PQ in the triangle shown below

A triangle has 3 line segments

What is the measure of ABC in the figure below

84

What is A logical argument that is presented in graphical form using boxes and arrows is called a

A. Flowchart proof

What is the length EF in the right triangle below with legs of 17 and 13

120

Which congruence theorems or postulates could be given as reasons why triangle cde is congruent to triangle opq

asa aas ha apex

Which of the following is a congruence transformation


Reflecting

What if the distance from point y to line wx in the figure below

10

Based on the information marked in the diagram lmo and fgh must be congruent

false I think

In PQR point S lies on QR. If PS is perpendicular to QR which term describes PS

Altitude

What is the measure of RCP in the figure below

70

If STU ABC which congruences are true by CPCTC Check all that apply

T ≈ B

TU ≈ BC

S ≈ A

What is the distance from point N to LM in the figure below

6.8

What is the length of BC in the right triangle below with legs of 39 and 15

If 39 is the hypotenuse of the right triangle then by using Pythagoras' theorem the 3rd length is 36 units

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