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Which must be true?

line segment AZ is congruent to line segment BZ

angle TZA is congruent to angle TZB

angle BTZ is congruent to angle BUZ

line segment TA is congruent to line segment TB

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triangle XYZ was dilated, then _____________, to create triangle QAG

translated

dilated

reflected

rotated

Which triangle is similar to triangle JKL ?

triangle MKL

triangle JKM

triangle LJK

triangle KML

Which statements are true? Choose two correct answers.

angle PQR corresponds to angle QPQ prime .

angle cap r corresponds to angle cap p prime cap q cap q prime .

triangle PQR is congruent to triangle cap p prime cap q prime cap q

Segment QQ prime is parallel to segment PP prime .

Side RQ corresponds to side QQ prime .

What is the value of x ?

15 units

12 units

20 units

24 units

Which transformations could have taken place to map triangle ABC to triangle cap A double prime cap b double prime cap c double prime ?

a translation and a dilation

a reflection and a translation

a rotation and a dilation

a reflection and a dilation

Which graph shows a dilation?

Image with description Coordinate plane with x- and y-axes labeled and an unlabeled square grid. A larger right triangle has a vertical left side 3 grid squares tall and a horizontal bottom side 6 grid squares long, with a slanted side connecting their endpoints. A smaller right triangle has a vertical left side 1 grid square tall and a horizontal bottom side 3 grid squares long, with a slanted side connecting their endpoints.

Image with description Coordinate plane with x- and y-axes labeled and an unlabeled square grid. A larger right triangle has a vertical left side 4 grid squares tall and a horizontal bottom side 5 grid squares long, with a slanted side connecting their endpoints. A smaller right triangle has a vertical left side 1 grid square tall and a horizontal bottom side 2 grid squares long, with a slanted side connecting their endpoints.

Image with description Coordinate plane with x- and y-axes labeled and an unlabeled square grid. A larger right triangle has a vertical left side 4 grid squares tall and a horizontal bottom side 5 grid squares long, with a slanted side connecting their endpoints. A smaller right triangle has a vertical left side 2 grid squares tall and a horizontal bottom side 3 grid squares long, with a slanted side connecting their endpoints.

Image with description Coordinate plane with x- and y-axes labeled and an unlabeled square grid. A larger right triangle has a vertical left side 3 grid squares tall and a horizontal bottom side 6 grid squares long, with a slanted side connecting their endpoints. A smaller right triangle has a vertical left side 2 grid squares tall and a horizontal bottom side 4 grid squares long, with a slanted side connecting their endpoints.

What is the scale factor of the dilation of triangle DEF ?

3 sevenths

7 thirds

3 tenths

Jose also has to state that

angle cap A is congruent to angle cap A cap b cap c .

angle cap A is congruent to angle cap d .

angle cap A is congruent to angle cap A cap c cap b .

angle cap A is congruent to angle cap A .

To prove that triangle cap v cap w cap z approximates triangle cap y cap x cap z by the SAS similarity theorem, which other sides or angles should be used?

angle cap v cap w cap z is congruent to angle cap y cap x cap z

line segment cap w cap v and line segment cap z cap y

line segment cap w cap v and line segment cap x cap y

angle cap v cap z cap w is congruent to angle cap y cap z cap x

If RD is equal to 15 , what is RD prime ?

9 units

5 units

3 units

6 units

Which must be true?

Point cap A is the center of the circle that passes through points cap e , cap f , and cap g but is not the center of the circle that passes through points cap x , cap y , and cap z .

Point cap A is the center of the circle that passes through points cap x , cap y , and cap z but is not the center of the circle that passes through points cap e , cap f , and cap g .

Point cap A is not necessarily the center of the circle that passes through points cap e , cap f , and cap g or the center of the circle that passes through points cap x , cap y , and cap z .

Point cap A is the center of the circle that passes through points cap e , cap f , and cap g and the center of the circle that passes through points cap x , cap y , and cap z .

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