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Equilateral $\triangle A B C$ is inscribed in a circle. $P$ and $Q$ are midpoints of $\overline{B C}$ and $\widehat{C A},$ respectively. What kind of figure is quadrilateral $A Q P B$ ? Justify your answer.

rectangle

Geometry

Chapter 9

Circles

Section 5

Inscribed Angles

Logic

Missouri State University

University of Nottingham

Boston College

Utica College

Lectures

12:03

In mathematics, a theorem …

07:43

In mathematics, the tangen…

06:52

Given: $\triangle A B C$ i…

01:25

A polygon is circumscribed…

00:49

$\odot Q$ and $\odot R$ ar…

00:53

REASONING Point $P$ is ins…

The lengths of the sides o…

03:23

In the inscribed quadrilat…

00:30

From point $P, \overline{P…

02:52

A diameter of @ $P$ has en…

08:04

Refer to the following fig…

00:37

Find the measure of each n…

00:29

A, $B, C$ are points on $\…

01:07

00:38

Equilateral $\triangle X C…

00:39

$A, B, C,$ and $D$ are non…

05:14

Draw a diagram and then wr…

00:20

Given: $P$ is on the p…

04:23

a. Draw a diagram similar …

01:17

Find the midpoint of the l…

03:04

REASONING XYZ is an equila…

Draw an inscribed quadrila…

okay, we know Arc A B is 1 20 Amino arc. PB is 60 because we know that 1 20 divided by two is 60 over the middle plants puts the Ark into 2/2 and half, and then we know that a C equals a B, which is also called Went to C B. Because, remember, ABC is an equilateral triangle sets has equal sides, Remember, Arc A B plus R P B is 180 degrees. Therefore, we know that we can see that Q is 1/2 of a P. Therefore, this shape we would end up with would be a rectangle.

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