Which of the following describes a median of a triangle?

B. A segment with endpoints at the vertex and midpoint of the opposite side.

C. A segment that connects two midpoints of two sides.

D. A segment that connects the vertex and the opposite side at 90 degrees.

Where would the largest side of a triangle be located?

Across from the smallest angle.

What assumption would you make to start the indirect proof of AB≅BC?

B is the perpendicular bisector oa AC

What assumption would you make to start the indirect proof of: there can be only one 90 angle in a triangle

there can be more than one 90 angle in a triangle

all the angles in a triangle add up to 180.

It is called the HINGE theorem, because...

the vertex of the angle acts like a hinge to open the triangle.

it's named after Joseph Hinge, the man who discovered it.

"hinge" is the Spanish word for angle.

the triangle makes a hinge shape, like a tent.

Compare m ∠ A C B and m\angle ACB\ \text{and } m ∠ A C B and m ∠ G D E m\angle GDE m ∠ G D E

m ∠ A C B > m ∠ G D E m\angle ACB\ >\ m\angle GDE m ∠ A C B > m ∠ G D E

m ∠ A C B < m ∠ G D E m\angle ACB\ <\ m\angle GDE m ∠ A C B < m ∠ G D E

m ∠ A C B = m ∠ G D E m\angle ACB\ =\ m\angle GDE m ∠ A C B = m ∠ G D E

∠ A C B ≅ ∠ G D E \angle ACB\ \cong\ \angle GDE ∠ A C B ≅ ∠ G D E

Q T ‾ ≅ S T ‾ \overline{QT}\ \cong\ \overline{ST} Q T ≅ S T

Find the range of possible values for x.

7 2 < x < 24 \frac{7}{2}<x<24 2 7 < x < 2 4

11 2 < x < 6 \frac{11}{2}<x<6 2 1 1 < x < 6

Relationships within Triangles Review

Authored by Mary Lett

Mathematics

9th - 12th Grade

CCSS covered

Used 8+ times

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MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Use the Perp Bisector Theorem to find HG

Tags

CCSS.HSG.CO.C.9

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the measure of $\overline{QA}$

-4

Tags

CCSS.HSG.CO.C.10

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Define: CIRCUMCENTER OF A TRAINGLE

the intersection point of the three perpendicular bisectors of a triangle

when a circle passes through the three vertices of a triangle

the point of intersection of three or more lines

the intersection point of the three angle bisectors of a triangle

Tags

CCSS.HSG.C.A.3

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Define: INCENTER OF A TRIANGLE

the intersection point of the three angle bisectors of a triangle

when three or more lines intersect at a single point

the intersection point of the three perpendicular bisectors of a triangle

the point of intersection of three or more lines

Tags

CCSS.HSG.C.A.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which point is equidistant from the vertices?

Circumcenter

Incenter

Neither

Bilateral

Tags

CCSS.HSG.C.A.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which point is equidistant from the sides?

Circumcenter

Incenter

Neither

Bilateral

Tags

CCSS.HSG.C.A.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Name the point of concurrency shown.

Circumcenter

Incenter

Supercenter

Neither

Tags

CCSS.HSG.C.A.3

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Relationships within Triangles Review

Use the Perp Bisector Theorem to find HG

Find the measure of QA‾\overline{QA}QA​

Define: CIRCUMCENTER OF A TRAINGLE

Define: INCENTER OF A TRIANGLE

Which point is equidistant from the vertices?

Which point is equidistant from the sides?

Name the point of concurrency shown.

Name the point of concurrency shown.

Which of the following describes a median of a triangle?

Which of the following words describes the point shown in the figure?

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Find the measure of $\overline{QA}$