Please answer all 15

In ACAB, point E is the midpoint of AC and point D is the midpoint of BC . If the measure of AB is 8 units, what is the measure of segment ED? E D B O 3 units O 4 units O 5 units O 6 unitsBelow is a two-column proof incorrectly proving that the three angles of APQR add up to 180: Statements Reasons Draw line ZY parallel to PQ Construction mzZRP + mzPRQ + mzQRY = mzZRY Angle Addition Postulate ZZRP = RPQ Alternate Interior Angles Theorem QRY = PQR Alternate Interior Angles Theorem mzRPQ + mePRQ + mcPQR = mzZRY|Substitution mzZRY = 180 Definition of a Straight Angle mzRPQ + mzPRQ + mcPQR = 180 Additive Property of Equality Which statement will accurately correct the two-column proof? O The measure of angle ZRY equals 180 by definition of supplementary angles. O Angles QRY and PQR should be proven congruent before the construction of line ZY. The three angles of APQR equal 180 according to Substitution. O Line ZY should be drawn parallel to segment QR.In a quadrilateral ABCD, the diagonals intersect at point T. Heather has used the Alternate Interior Angles Theorem to show that angle ABD is congruent to angle CDB and that angle BAC is congruent to DCA. Which of the following can Heather use prove that segment DT is equal to segment TB? O AB ~ DC O AC ~ DB O DA ~ BC O AC ~ ACSQRT is a parallelogram. If myQST = 720, which of the following statements is true? R U O mZSQR = 720 O mZQRT = 720 O mZQSR = 360 O mZTRQ = 1080Line g is dilated by a scale factor of 2 from the origin to create line g' Where are points E' and F' located after dilation, and how are lines g and g' related? 3 F g E -5 -3 -2 -1 0 -1 -2 O The locations of E' and F' are E' (-8, 0) and F' (0, 4), and lines g and g' are parallel. O The locations of E' and F' are E' (-4, 0) and F' (0, 2), and lines g and g' are the same line. O The locations of E' and F' are E' (-2, 0) and F' (0, 1), and lines g and g' intersect at point F. O The locations of E' and F' are E' (-1, 0) and F' (0, 0), and lines g and g' are not related.B'C' has endpoints located at B'(2, 0) and C'(2, 6). Be was dilated at a scale factor of 2 from the origin. Which statement describes the pre-image? O BC is located at B (1, 0) and C (1, 3) and is one-half the size of B'C'. O BC is located at B (2, 0) and C (2, 6) and is the same size as B'C'. O BC is located at B (4, 0) and C (4, 12) and is twice the size of B'C'. O BC is located at B (6, 0) and C (6, 18) and is three times the size of B'C'.Salma used a photocopier to dilate the design for a monorail track system. The figure shows the design and its photocopy: 15m B F E D H 17m - G Design Photocopy The ratio of AD:EH is 1:2. What is the length, in meters, of side GH on the photocopied image? 15 The vertices of AMMNO are M (1, 3), N (4, 9), and O (7, 3). The vertices of APQR are P(3,0),Q (4, 2), and R (5, 0). Which conclusion is true about the triangles? "y The ratio of their corresponding sides is 1:2. "y The ratio of their corresponding angles is 1:2. "y They are similar by the definition of similarity in terms of a dilation. "y They are congruent by the definition of congruence in terms of rigid motions. The ABC Toy Company is creating two similar pieces for a board game, as shown below. How could the toy maker confirm that the pieces are similar using the definition of similarity in terms of similarity transformations? K G H O Verify ZG ~ ZJ and Z1 ~ ZL by reflection. O Verify GH ~ JK and GI ~ JL by reflection. O Verify ZG ~ ZJ and 21 ~ ZL by translation. O Verify GH ~ JK and GI ~ JL by translation.Triangle GHI is dilated to form new triangle JKL. If angle H is congruent to angle K, what other information will prove that the two triangles are similar by the AA similarity postulate? O Angle G is congruent to angle L. O Side GH is congruent to side JK. O Angle I is congruent to angle L. O Side IG is congruent to side LJ.If a translation maps ZD onto _B, which of the following statements is true? E D O ACED ~ ACAB O ACED ~ ACBA O CE = 2CA O CD - 2CBEshaal is creating a model of a pyramid. The model created will need to be scaled up from the blueprint. D E B If segments DE and AB are parallel, which of the following expressions will help Eshaal determine the length of segment BC? O BC = CE O BC = AC . CE CD O BC - AC. DE CE O BC = ACLook at the figure below: D A 6 5 B What is the length, in units, of segment CD? O 11 O 7.2 O 5.5 O 10If point E is the midpoint of AC and point D is the midpoint of BC, which expression represents the value of s? E u P D q B t O S= O S = N - O S= O s = 2uWhich statement is not used to prove that AFGHis similar to AFIJ? H O Angle F is congruent to itself, due to the reflexive property. O Angles FJI and FHG are congruent, due to the corresponding angles postulate. O Points F, J, and H are collinear. O Segments JI and HG are parallel