Name: ________________________________ Chapter 1 Geometry Test Review 1.) Refer to the figure to the right. a.) How many planes appear in this figure. b.) Name three points that are collinear. c.) Where does FG intersect plane B? d.) Which four points in the figure are coplanar? 2.) Find the value of x and AP, if P is between A and B and AB = 24 cm. Show all work! 3.) Find the value of GE if E is between G and O in the given figure: G 2x E O 6x + 8 36 4.) Find the distance of GH . Show all work! 5.) Find the distance between E(-3, 2) and F(4, 5). Show all work! 6.) Find the midpoint of a segment having the endpoints X(4, 2) and Y(8, -6). Show all work! 1 7.) Find the coordinates of the missing midpoint given that S is the midpoint of RT . Show all work! S (x, y) T(-2, -4) R (0, 5) 8.) Refer to the figure to the right. a.) Name the vertex of 2 . b.) Name the sides of 4 . c.) Write the other two names for BDC . 9.) Classify each of the following angles as right, acute, or obtuse. a.) WXY b.) YXZ c.) WXZ 10.) In the figure, QP and QR are opposite rays, and QT bisects RQS . If mRQT 6 x 5 and mSQT 7 x 2 , find mRQT . Show all work! 2 Refer to the figure to the right, and circle the correct answer for questions 11 - 14. 11.) Which pair of angles are complementary? a.) USV , VSW b.) VSW , WSR c.) TSV , VSR d.) TSR, USW 12.) Which angle is vertical to UST ? a.) VSW b.) USV c.) TSR d.) WSR 13.) Which angle creates a linear pair with USW ? a.) UST b.) USV c.) TSR d.) VST 14.) Which angle is adjacent to WSV ? a.) RSV b.) UST c.) TSR d.) USV 15.) The sum of the measures of two supplementary angles is always _________. a.) 90 b.) 360 c.) 180 d.) 45 16.) What is the supplement of a 45 degree angle? ___________ 17.) The sum of the measures of two complementary angles is always _________. a.) 360 b.) 90 c.) 120 d.) 180 18.) What is the complement of a 38 degree angle? ___________ 19.) Find the value of x so that AFC is a right angle. Show all work! 3 20.) Name each polygon by its number of sides. Then classify it as convex or concave and regular or irregular. a.) b.) _______________ c.) _________________ ________________ _______________ _________________ ________________ _______________ _________________ ________________ 21.) Find the perimeter of a regular pentagon whose sides measure 4 meters. Show all work! 22.) Find the length of one side of a regular triangle if the perimeter is 12 inches. Show all work! 23.) Find the measure of each numbered angle. a.) m1 8 x 18 and m2 16 x 6 . b.) 7 and 9 are complementary. m7 6x 15 and m9 2x 21 1 2 24.) Given: 6 x 2( x 1) 30 Statements Prove: x 4 4 Reasons