Q:

Choose the pair of vertical lineschoose all that apply a. <B and <Cb. <B and <Dc. <A and <Cd. <A and <Bquestion 2.A rigid transformation results in a figure that is twice as large as the original a. true b. falsequestion 3.which of the following are congruent triangles facts sufficient to prove triangles congruent?a. AAA (angle-angle-angle)b. SAS (side-angle-side)c. HA (hypotenuse angle)d. SSS (side-side-side)e. HL (hypotenuse leg)f. AAS (angle-angle-side)g. ALS (angle-leg-side)h. ASA (angle-side-angle)question 4.two lines that intersect and form right angles are calleda. infinityb. segmentedc. perpendicular d. parallel

Accepted Solution

A:
1. The pair of vertical angles from the attached diagram are:<B and <D (OPTION B)<A and <C (OPTION C)Vertical angles (which are also known as opposite angles) are a pair of non-adjacent angles which are formed by the intersection of two lines. A pair of vertical angles have an equal measure. 2. FalseA rigid transformation DOES NOT result in a figure that is twice as large as the original. A rigid transformation preserves length, therefore it results in a figure that is just as large as the original. Rigid transformation is also called an isometry. 3. The following options (B, D, E, F and H) are the congruent triangles facts that are sufficient to prove triangles congruent
b. SAS (side-angle-side)
d. SSS (side-side-side)
e. HL (hypotenuse leg)
f. AAS (angle-angle-side)
h. ASA (angle-side-angle) 4. Perpendicular lines is the term used in elementary geometry to describe two lines that intersect and form right angles (90 degrees). Perpendicularity is a symmetric property, that is, if line A is perpendicular to line B, then line B is also perpendicular to line A.