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Exercise 6.3

Mental Math ABCD is an isosceles trapezoid with median EF.

Name the legs of trapezoid ABCD:

Name the bases of trapezoid ABCD.

Name the two pairs of base angles.

Name the median of trapezoid ABCD.

B

EFGH is a trapezoid with median IJ and diagonal EG.

Name two pairs of congruent segments.

Name two pairs of congruent angles.

If HG = 4 and EF = 10, what is IJ?

If KJ = 6, what is EF?

If HG = 16, what is IK?

If IJ = 35, what is mZEFG?

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00:32

Consider the isosceles trapezoid shown.a Find the coordinates of vertex $B$b Find the lengths of the bases.c Find the length of the median.d Find the trapezoid’s area.(FIGURE CANT COPY)

01:56

GEOMETRY Triangle $B C D$ has vertices $B(4,9), C(8,-9),$ and $D(-6,5) .$ Find the length of median $\frac{B P}{B P}$ . (Hint: A median connects a vertex of a triangle to the midpoint of the opposite side.)

03:55

$A B C D$ is a trapezoid with median $\overline{M N}$ .If $D C=6$ and $A B=16,$ find $M E, F N,$ and $E F$

02:18

Prove: The median to the base of an isosceles triangle bisects the vertex angle.

Transcript

in this question, we need to find the legs of proposals. A. B C. D. The likes of Professor is the other than the palace site. So other than the palace sites are A. B and C. B. These are the Lexapro proposal. Let’s all trapezoid. In the second part of this question, we need to find the base of trapezoid A. B. C. D. The base of trapezoid. They so trapezoid is the panel aside. This is A. B. And D. C. Your C. D. And in the third part we will find the two pair of base angles, two pair of base angle, so base angle, her base is A. B. And angle is a. An angle B. This is one pill and second base is E. F. So angle fair, fair is angle E. And angle F. In the fourth part, we need to find the media Northrup is oil, so the median of represented is E. F. This is a given in this question. E. F. Is median of trapezoid tripping. So it in Now, next. In the 5th part, we need to find the pair of congruent segments. In this figure. You can see that here I. J. Is the midpoint of E. F. G. F. So we can say that I and D. Is need flying of segment at E and segment G. F respectively. Therefore, if I is the midpoint of E. At E. So at I is equal to I. E. Or congruent to I E N. J. Is the midpoint of G F. So G J is congruent to J F. In the 6th part, we need to find two pair of congruent angles. So here you can see that this is a trapezoid and at at D S pallor to RJ and pallor to E. F. And G E is the transverse a lion. So angle, if we draw your extent at explained and G is the transfer cell lines to angle this and angle this and angle this will be equal. Or we need to find congruent angles. So I G is E. F and E is though K is the trans person line and I add in S G is tailored to E. F and G F is transfer cell. So angle this one is equal to this angle. So congruent angles are, this is one, two and this is also equal to 123. The conference trying angles are one is equal to angle to angle one is equal to angle three. These are alternative interior…

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