Statements Reasons
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Given: A RA AF TR FT Prove RE EF R STATEMENTS E REASONS T F A DE AC Given: BF AC B E BC AD AF EC Prove: AB DC STATEMENTS REASONS F D C Prove that the median to the base of an isosceles triangle is also an altitude Statements Reasons Prove: If all four sides of a four sided figure are congruent, the segments connecting opposite vertices are perpendicular. Statements Reasons Prove: Segments drawn from the legs of an isosceles triangle to the trisection points of the base, perpendicular to the base, are congruent. Statements Reasons Prove: If two circles intersect at two points, the segment joining the intersection points is perpendicular to the segment connecting the centers of the circles. Statements Reasons Prove: If the medians to the legs of an isosceles triangle are extended equal distances beyond the legs, then the endpoints of the resulting extensions are equidistant from the vertex of the isosceles triangle. Statements Reasons Prove that the line segments joining the midpoint of the base of an isosceles triangle to the midpoints of the legs are congruent. Statements Reasons Prove that the intersection point of the angle bisectors of the base angles of an isosceles triangle is equidistant from the midpoints of the legs. Given: Prove: Statements Reasons Given: B O OBT OAT Prove: BX AX F W X STATEMENTS O S REASONS R A T B Given: DB is the perpendicular bisector of AC AW AD W Prove: WP PD A STATEMENTS P E REASONS D C E Given: EA BE AC BC Prove: AD BD D STATEMENTS REASONS A C B Given: DC is a median of ADB DAC DBC A Prove: AE BE E C Statements Reasons B D F F L FL FS T Given: LE SE YR FE Prove: LY SR S Y Statements Reasons R E Given: AB AC O B Prove: BD DC A STATEMENTS REASONS I D O C Given: SM is a median of TSK STM SKM P Prove: PT PK S STATEMENTS REASONS T M K Given: AP AS P PF FS Prove: PW SW A T STATEMENTS REASONS S W F E AB AF F Given: BD DF 1 2 Prove: AD EC 2 A D 1 STATEMENTS REASONS B C C Given: AE AF ACB FBC E Prove: EH FH H STATEMENTS REASONS A F B S Given: SKW SNW PKW PNW Prove: SKM SNM K P N W STATEMENTS REASONS M H Given: HISTO is equiangular HI HO IS OT HK IO Prove: HL ST I K S STATEMENTS REASONS L O T B Given: C AB BC K AD CD F is the midpoint of AD G is the midpoint of CD M A G Prove: BD is the perpendicular bisector of FG F STATEMENTS REASONS D C B BAF BCH H CBH CDG Given: BE bisects ABC G F CE bisects BCD ABCDCB Prove: AE ED A D E STATEMENTS REASONS AB AD A BC CD mAEB x 2 y mAED 5x y mABD x y 10 Find mADB C B D E mPTB 5x 30 E mBTR 7 x 6 PT 2 x TR x 12 PB 6 y 2 BR 7 y 2 PE 4 z RE 2 z 20 Find x,y,z and the perimeter of PBRE R T B P & 12,0gare three consecutive vertices of a rectangle. Find the fourth vertex. b1,5g, b9,8gb & x,9gare collinear. Find x b5,3g, b2,5gb Prove that any point on the perpendicular bisector of the base of an isosceles triangle is equidistant from the midpoints of the legs of the triangle.
