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Geometry

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Jonathan Block

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Cards in this guide (26)
In a scalene triangle the longest side is opposite the angle with the largest measure

true

What is the Side-Splitter Theorem

If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally

Which term describes a line segment that connects a vertex of a triangle to the midpoint of the opposite side

Median =apex lover you

Which term describes the point where the perpendicular bisectors of the three sides of a triangle intersect

Circumcenter

Which term describes the point where the three angle bisectors of a triangle intersect

incenter

What term describes the point where the three altitudes of a triangle intersect

It is the orthocentre.

Which best describes the orthocenter of a triangle

A. The point where the three altitudes of the triangle intersect. ~Apex

Which of the following is not a congruence transformation translating stretching or rotating

Stretching

The isosceles triangle theorem states that if two sides of a triangle are congruent then the opposite those sides are

The isosceles triangle theorem states that if two sides of a triangle are congruent, then the angles opposite those sides are congruent.

What is the definition of symmetric in the Properties of congruence

When in a triangle, for angle A, B, C; As the symmetric property of congruence , when ∠A ≌ ∠B then ∠B ≌ ∠A and when ∠A ≌ ∠C then ∠C ≌ ∠A and when ∠C ≌ ∠B then ∠B ≌ ∠C

This is the definition of symmetric property of congruence.

What can you determine when you use deduction and start and start from a given set of rules and conditions

What must be true

Which term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite side so the line segment is perpendicular to that line

altitude

What is defined by a line that divides two sides of a triangle proportionally then it is parallel to the third

Similar shapes.

Which best describes the incenter of a triangle

what is the circumcenter of a triangle

Which of the following is a congruence transformation


Reflecting

Which of the following is defined by a line parallel to one side of a triangle divides the other two sides proportionally

Converse of the triangle proportionality theorem APEX :)

Given that bd is both the median and altitude of a abc. congruence postulate sas is used to prove that abc is what type of triangle

Isoceles! Tested, correct.

The diagram shows triangle HJK which term describes point L

Incenter

-APEX

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

Altitude

What is the median of an isosceles triangle is the same segment in the triangle

Altitude APEXX

If JKL is similar to RST the angles of JKL must be congruent to the corresponding angles of RST.

Yes that is correct and the sides will be in proportion by ratio to each triangle.

Is not part of the tringle proportionality theorem

The definition of a circle is not part of the triangle (or tringle, even) proportionality theorem.

If bd is both the altitude and median of abc then abc is

Isosceles

Which term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite sideso that the line segment is perpendicular to that line

Altitude

In FGH mF 60 mG 68 and mH 52. Which side of FGH is the shortest

The shortest side of a triangle is opposite to its smallest angle

what is the scale factor from ABC to DEF

Answer: Since you are looking for the scale factor of ABC to DEF the answer is 8 because DEF is 8 times larger than ABC.

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